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stata lab questions

Q1

Determine whether the underlined number is a statistic or a parameter.

Upper A sample of students is selected and it is found that Modifying 55 % with underline own a computer.A sample of students is selected and it is found that 55% own a computer.

Choose the correct statement below.

ParameterParameter

because the value is a numerical measurement describing a characteristic of a

samplesample.

StatisticStatistic

because the value is a numerical measurement describing a characteristic of a

populationpopulation.

StatisticStatistic

because the value is a numerical measurement describing a characteristic of a

samplesample.

ParameterParameter

because the value is a numerical measurement describing a characteristic of a

population population.

Q2

Determine whether the data described below are qualitative or quantitative and explain why.

The political party affiliations of poll respondents The political party affiliations of poll respondents

Choose the correct answer below.

A.

The data are

qualitative qualitative

because

they consist ofthey consist of

counts or measurements.counts or measurements.

B.

The data are

quantitative quantitative

because

they consist of they consist of

counts or measurements.counts or measurements.

C.

The data are

qualitativequalitative

because

they don't measure orthey don't measure or

count anything.count anything.

D.

The data are

quantitativequantitative

because

they don't measure orthey don't measure or

count anything.

Q3

State whether the data described below are discrete or continuous, and explain why.

The maximum capacities of various stadiumsThe maximum capacities of various stadiums

Choose the correct answer below.

A.

The data are

continuouscontinuous

because

the data can take on anythe data can take on any

value in an intervalvalue in an interval.

B.

The data are

discretediscrete

because

the data can only take onthe data can only take on

specific valuesspecific values.

C.

The data are

continuouscontinuous

because

the data can only take onthe data can only take on

specific valuesspecific values.

D.

The data are

discretediscrete

because

the data can take on anythe data can take on any

value in an intervalvalue in an interval.

Q4

A particular country has

6060

total states. If the areas

ofof

5050

states are added and the sum is divided by

5050,

the result is

201 comma 755201,755

square kilometers. Determine whether this result is a statistic or a parameter.

Choose the correct answer below.

A.

The result is a

statisticstatistic

because it describes some characteristic of a

populationpopulation.

B.

The result is a

parameterparameter

because it describes some characteristic of a

samplesample.

C.

The result is a

parameterparameter

because it describes some characteristic of a

populationpopulation.

D.

The result is a

statisticstatistic

because it describes some characteristic of a

samplesample.

Q5

State whether the data described below are discrete or continuous, and explain why.

The amounts of time that different surgical procedures take at a hospitalThe amounts of time that different surgical procedures take at a hospital

nothing

Choose the correct answer below.

A.

The data are

discretediscrete

because

the data can take on anythe data can take on any

value in an intervalvalue in an interval.

B.

The data are

continuouscontinuous

because

the data can take on anythe data can take on any

value in an intervalvalue in an interval.

C.

The data are

continuouscontinuous

because

the data can only take onthe data can only take on

specific valuesspecific values.

D.

The data are

discretediscrete

because

the data can only take onthe data can only take on

specific valuesspecific values

Q8

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate for the data below.

Critic ratings of movies on a scale from 1 star to 6 starsCritic ratings of movies on a scale from 1 star to 6 stars

Choose the correct answer below.

A.

The

intervalinterval

level of measurement is most appropriate because the data

can becan be

ordered comma differences left parenthesis obtained by subtraction right parenthesis can be found and are meaningful comma andordered, differences (obtained by subtraction) can be found and are meaningful, and

there is no natural starting point.there is no natural starting point.

B.

The

ratioratio

level of measurement is most appropriate because the data

can be ordered commacan be ordered,

differences left parenthesis obtained by subtraction right parenthesis can be found and are meaningful comma and there is adifferences (obtained by subtraction) can be found and are meaningful, and there is a

natural starting point.natural starting point.

C.

The

nominalnominal

level of measurement is most appropriate because the data

cannot becannot be

ordered.ordered.

nothing

D.

The

ordinalordinal

level of measurement is most appropriate because the data

can becan be

ordered commaordered,

butbut

differencesdifferences

cannotcannot

be foundbe found

or areor are

meaningless.meaningless.

nothing

nothing

nothing

nothing

Q9

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.

Monthly rainfall: 2.4 in comma 2.6 in comma 2.8 in comma 3 in comma and 3.2 inMonthly rainfall: 2.4 in, 2.6 in, 2.8 in, 3 in, and 3.2 in

Choose the correct answer below.

Q10

Which of the following would be classified as categorical data?

Choose the correct answer below.

Amount of rainfall

Number of suitcases on a plane

Tree height

Hair color

Q11

Determine whether the given description corresponds to an observational study or an experiment.

In a study of

364364

menmen

with a particular disease, the subjects

were photographed daily.were photographed daily.

nothing

Does the given description correspond to an observational study or an experiment?

A.

The given description corresponds to

an experimentan experiment.

B.

The given description corresponds to

an observational studyan observational study.

C.

The given description does not provide enough information to answer this question.

Q17

Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below.

A

researcher selects every 822 th social security number andresearcher selects every 822th social security number and

surveyssurveys

thethe

correspondingcorresponding

person.person.

nothing

nothing

nothing

Which type of sampling did the

researcherresearcher

use?

SystematicSystematic

sampling

ConvenienceConvenience

sampling

ClusterCluster

sampling

RandomRandom

sampling

StratifiedStratified

sampling

Q18

Identify which of these types of sampling is used: random, systematic, convenience, stratified, or cluster.

To determine her

heart rateheart rate,

SamanthaSamantha

divides up her day into three parts: morning, afternoon, and evening. She then measures her

heart rateheart rate

at

33

randomly selected times during each part of the day.

What type of sampling is used?

Systematic

Stratified

Convenience

Cluster

Random

Identify the type of observational study (cross-sectional, retrospective, or prospective) described below.

A research company uses a device to record the viewing habits of about

25002500

households, and the data collected

over the next 3 yearsover the next 3 years

will be used to

determinenbsp whether nbsp whether the

proportion of households tuned to a particular

children'schildren's

programnbsp decreases. decreases.

Which type of observational study is described in the problem statement?

A

retrospectiveretrospective

study

A

prospectiveprospective

study

A

cross dash sectionalcross-sectional

study

Q21

Identify the type of observational study (cross-sectional, retrospective, or prospective) described below. A research company uses a device to record the viewing habits of about 2500 households, and the data collected over the next 10 years will be used to determinenbsp whether nbspthe proportion of households tuned to a particular educational programnbsp decreases.

Prospective study

Step-by-step explanation:

A cross-sectional study, also known as transverse study, is a type of observational study that analyzes data from a population at a specific point in time. This kind of observation is used if cases cannot be identified a priori or if the prevalence of the disease or condition needs to be determined.

Cohort studies are when two or more groups of subjects are followed over time to see if they develop some disease or if some event occurs, there are two type of cohort studies, prospective and retrospective. Prospective studies (or follow-up studies) follow subjects with different exposures until some point in time where something happens or the study ends, retrospective studies use historical data to make comparisons based on risk factors or exposures that occurred before the events.

Considering the information given and the observational study exposed to the question, we can conclude that we are talking about a prospective study because data is collected over the next 10 years.

Read more on Brainly.com - https://brainly.com/question/13402539#readmore

Identify the type of observational study (cross-sectional, retrospective, or prospective) described below.

A research company uses a device to record the viewing habits of about

25002500

households, and the data collected

over the next 3 yearsover the next 3 years

will be used to

determinenbsp whether nbsp whether the

proportion of households tuned to a particular

children'schildren's

programnbsp decreases. decreases.

Which type of observational study is described in the problem statement?

A

retrospectiveretrospective

study

A

prospectiveprospective

study

A

cross dash sectionalcross-sectional

study

Q22

Refer to the definition of simple random sample available below and its accompanying definition of random sample enclosed within parentheses. Determine whether each of the following is a simple random sample and a random sample.

  1. A statistics class with 36 students is arranged so that there are 6 rows with 6 students in each row, and the rows are numbered from 1 through 6. A die is rolled and a sample consists of all students in the row corresponding to the outcome of the die.
  2. For the same class described in part (a), the 36 student names are written on 36 individual index cards. The cards are shuffled and six names are drawn from the top.
  3. For the same class described in part (a), the six youngest students are selected.

LOADING...

Click the icon to view the definitions of simple random sample and random sample.

Q23

A frequency table of grades has five classes (A, B, C, D, F) with frequencies of

44,

1414,

1414,

88,

and

33

respectively. Using percentages, what are the relative frequencies of the five classes?

Complete the table.

Grade

Frequency

Relative frequency

A

44

nothing%

B

1414

nothing%

C

1414

nothing%

D

88

nothing%

F

33

nothing%

(Round to two decimal places as needed.)

Q24

Identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary.

Age (yr) when award was won

Frequency

1010-1111

3030

1212-1313

3232

1414-1515

1515

1616-1717

33

1818-1919

55

2020-2121

22

2222-2323

22

Identify the lower class limits.

nothing,nothing,nothing,nothing,nothing,nothing,nothing

(Type integers or decimals. Do not round. Use ascending order.)

Identify the upper class limits.

nothing,nothing,nothing,nothing,nothing,nothing,nothing

(Type integers or decimals. Do not round. Use ascending order.)

Identify the class width.

nothing

(Type an integer or a decimal. Do not round.)

Identify the class midpoints.

nothing,nothing,nothing,nothing,nothing,nothing,nothing

(Type integers or decimals. Do not round. Use ascending order.)

Identify the class boundaries.

nothing,nothing,nothing,nothing,nothing,nothing,nothing,nothing

(Type integers or decimals. Do not round. Use ascending order.)

Identify the number of individuals included in the summary.

nothing

(Type an integer or a decimal. Do not round.)

Enter your answer in each of the answer boxes.

Q25

Construct one table that includes relative frequencies based on the frequency distributions shown below, then compare the amounts of tar in nonfiltered and filtered cigarettes. Do the cigarette filters appear to be effective? (Hint: The filters reduce the amount of tar ingested by the smoker.)

LOADING...

Click the icon to view the frequency distributions.

Complete the relative frequency table below.

Tar (mg)

Relative

Frequency

(Nonfiltered)

Relative

Frequency

(Filtered)

22minus−77

nothing%

nothing%

88minus−1313

nothing%

nothing%

1414minus−1919

nothing%

nothing%

2020minus−2525

nothing%

nothing%

2626minus−3131

nothing%

nothing%

3232minus−3737

nothing%

nothing%

3838minus−4343

nothing%

nothing%

(Simplify your answers.)

Do cigarette filters appear to be effective?

A.

No, because the relative frequency of the higher tar classes is greater for filtered cigarettes.

B.

No, because the relative frequencies for each are not substantially different.

C.

Yes, because the relative frequency of the higher tar classes is greater for nonfiltered cigarettes.

D.

This cannot be determined.

Q29

The table below shows the frequency distribution of the weights (in grams) of pre-1964 quarters.

Weight (g)

Frequency

6.000 dash 6.0496.000-6.049

22

6.050 dash 6.0996.050-6.099

33

6.100 dash 6.1496.100-6.149

66

6.150 dash 6.1996.150-6.199

1111

6.200 dash 6.2496.200-6.249

1212

6.250 dash 6.2996.250-6.299

44

6.300 dash 6.3496.300-6.349

44

6.350 dash 6.3996.350-6.399

11

Use the frequency distribution to construct a histogram. Does the histogram appear to depict data that have a normal distribution? Why or why not?

Q30

The table available below shows the drive through service times (seconds) for lunches at a fast food restaurant. Use the data to construct a histogram. Begin with a lower class limit of 70 seconds and use a class width of 40 seconds. Does the histogram appear to be skewed? If so, identify the type of skewness.

Construct the histogram. Choose the correct graph below.

A.

69.5109.5149.5189.5229.5269.50510152025Service Time (seconds)Frequency

A histogram with horizontal axis labeled Service Time measured in seconds from 695 to 296.5 in intervals of 40 and vertical axis labeled Frequency from 0 to 25 in intervals of 5 contains vertical bars with heights as follows: 69.5 to 109.5, 12; 109.5 to 149.5, 22; 149.5 to 189.5, 8; 189.5 to 229.5, 5; 229.5 to 269.5, 3.

B.

69.5109.5149.5189.5229.5269.50510152025Service Time (seconds)Frequency

A histogram with horizontal axis labeled Service Time measured in seconds from 695 to 296.5 in intervals of 40 and vertical axis labeled Frequency from 0 to 25 in intervals of 5 contains vertical bars with heights as follows: 69.5 to 109.5, 3; 109.5 to 149.5, 5; 149.5 to 189.5, 8; 189.5 to 229.5, 22; 229.5 to 269.5, 12.

C.

69.5109.5149.5189.5229.5269.50510152025Service Time (seconds)Frequency

A histogram with horizontal axis labeled Service Time measured in seconds from 695 to 296.5 in intervals of 40 and vertical axis labeled Frequency from 0 to 25 in intervals of 5 contains vertical bars with heights as follows: 69.5 to 109.5, 12; 109.5 to 149.5, 22; 149.5 to 189.5, 12; 189.5 to 229.5, 21; 229.5 to 269.5, 22.

D.

69.5109.5149.5189.5229.5269.50510152025Service Time (seconds)Frequency

Construct a stem-and-leaf plot of the test scores

68 comma 73 comma 85 comma 75 comma 89 comma 89 comma 87 comma 90 comma 98 comma 100.68, 73, 85, 75, 89, 89, 87, 90, 98, 100.

How does the stem-and-leaf plot show the distribution of these data?

Construct the stem-and-leaf plot. Choose the correct answer below.

A.

Stem

Leaves

6

88

7

3 63 6

8

5 6 9 75 6 9 7

9

0 90 9

10

0

B.

Stem

Leaves

6

88

7

3 53 5

8

5 7 9 95 7 9 9

9

0 80 8

10

0

C.

Stem

Leaves

6

55

7

3 53 5

8

5 9 9 75 9 9 7

9

0 70 7

10

0

D.

Stem

Leaves

6

88

7

3 53 5

8

5 9 9 65 9 9 6

9

0 80 8

10

0

How does the stem-and-leaf plot show the distribution of these data?

A.

The lengths of the rows are similar to the heights of bars in a histogram; longer rows of data correspond to smaller frequencies.

B.

The lengths of the rows are similar to the widths of bars in a histogram; longer rows of data correspond to smaller frequencies.

C.

The lengths of the rows are similar to the heights of bars in a histogram; longer rows of data correspond to higher frequencies.

D.

The lengths of the rows are similar to the widths of bars in a histogram; longer rows of data correspond to higher frequencies.

Q34

In a study of retractions in biomedical journals,

487487

were due to error,

217217

were due to plagiarism,

803803

were due to fraud,

310310

were due to duplications of publications, and

243243

had other causes. Construct a Pareto chart. Among such retractions, does misconduct (fraud, duplication, plagiarism) appear to be a major factor?

Choose the correct Pareto chart below.

A.

A bar graph titled Retractions has a vertical axis labeled from 0 to 900 in increments of 300. There are vertical bars with labels and heights as follows, listed from left to right: Error, 490; Plagiarism, 220; Fraud, 800; Duplication, 310; Other, 240. All heights are approximate.

Retractions

0300600900ErrorPlagiarismFraudDuplicationOther

B.

A bar graph titled Retractions has a vertical axis labeled from 0 to 900 in increments of 300. There are vertical bars with labels and heights as follows, listed from left to right: Error, 240; Plagiarism, 110; Fraud, 800; Duplication, 160; Other, 120. All heights are approximate.

Retractions

0300600900ErrorPlagiarismFraudDuplicationOther

C.

A bar graph titled Retractions has a vertical axis labeled from 0 to 900 in increments of 300. There are vertical bars with labels and heights as follows, listed from left to right: Fraud, 800; Error, 490; Duplication, 310; Other, 240; Plagiarism, 220. All heights are approximate.

Retractions

0300600900FraudErrorDuplicationOtherPlagiarism

D.

A bar graph titled Retractions has a vertical axis labeled from 0 to 900 in increments of 300. There are vertical bars with labels and heights as follows, listed from left to right: Fraud, 800; Error, 240; Duplication, 160; Other, 120; Plagiarism, 110. All heights are approximate.

Retractions

0300600900FraudErrorDuplicationOtherPlagiarism

Among such retractions, does misconduct (fraud, duplication, plagiarism) appear to be a major factor?

A.

Yes, misconduct appears to be a major factor because the majority of retractions were due to misconduct.

B.

No, misconduct does not appear to be a major factor because the majority of retractions were not due to misconduct.

C.

No, misconduct does not appear to be a major factor because the majority of retractions were due to misconduct.

D.

Yes, misconduct appears to be a major factor because the majority of retractions were not due to misconduct.

Q35

The graph to the right uses cylinders to represent barrels of oil consumed by two countries. Does the graph distort the data or does it depict the data fairly? Why or why not? If the graph distorts the data, construct a graph that depicts the data fairly.

A pictograph titled "Daily Oil Consumption (Millions of barrels)" contains two cylinders, each labeled with a country name and a number as follows: "Country A" and "20.1"; "Country B" and "5.9." The cylinder labeled "Country A" has a diameter and a height that are each about four times longer than the diameter and height of the cylinder labeled "Country B."Daily Oil Consumption(Millions of barrels)Country ACountry B20.15.9

Does the graph distort the data? Why or why not?

A.

No, because the graph is technically correct.

B.

Yes, because 3D objects always distort the data in graphs.

C.

Yes, because the graph incorrectly uses objects of volume to represent the data.

D.

No, because the proportions are accurate.

If the graph does not depict the data fairly, which graph below does?

A.

A bar graph titled "Oil Consumption" has a vertical axis labeled "Barrels (millions)" from 0 to 24 in intervals of 2 and a horizontal axis labeled "Country" with letter labels "A" and "B" from left to right. The graph contains two vertical bars of equal width that do not touch each other. The bars over the horizontal axis labels extend over vertical ranges as follows: A, 0 to 6; B, 0 to 20. All values are approximate.

Oil Consumption

AB04812162024Barrels (millions)

Country

B.

A bar graph titled "Oil Consumption" has a vertical axis labeled "Barrels (millions)" from 4 to 24 in intervals of 2 and a horizontal axis labeled "Country" with letter labels "A" and "B" from left to right. The graph contains two vertical bars of equal width that do not touch each other. The bars over the horizontal axis labels extend over vertical ranges as follows: A, 4 to 20; B, 4 to 6. All values are approximate.

Oil Consumption

AB4812162024Barrels (millions)

Country

C.

A bar graph titled "Oil Consumption" has a vertical axis labeled "Barrels (millions)" from 0 to 24 in intervals of 2 and a horizontal axis labeled "Country" with letter labels "A" and "B" from left to right. The graph contains two vertical bars of equal width that do not touch each other. The bars over the horizontal axis labels extend over vertical ranges as follows: A, 0 to 20; B, 0 to 6. All values are approximate.

Oil Consumption

AB04812162024Barrels (millions)

Country

Q43

For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of

sixsix

types of automobile, the linear correlation coefficient is found and the P-value is

0.0320.032.

Write a statement that interprets the P-value and includes a conclusion about linear correlation.

The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is

nothing%,

which is

low,

high,

so there

is not

is

sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.

(Type an integer or a decimal. Do not round.)

For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of seven types of automobile, the linear correlation coefficient is found and the P-value is 0.035. Write a statement that interprets the P-value and includes a conclusion about linear correlation. The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is_____________ which is____________ so there_______________ sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.

1

Answer:

The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is__3.5%___ which is___significant_(at α=0.05)_ so there _is_ sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.

Step-by-step explanation:

Correlation coefficient shows the relation between the weights and highway fuel consumption amounts of seven types of automobile.

P-value states the significance of this relationship. If the p-value is lower than a significance level (for example 0.05) then the relation is said to be significant.

Q45

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question.

Listed below are the jersey numbers of

1111

players randomly selected from the roster of a championship sports team. What do the results tell us?

1010    

1212    

9494    

8484    

99    

3535    

7979    

55    

8383    

7373    

8686

  1. Find the mean.

The mean is

51.851.8.

(Type an integer or a decimal rounded to one decimal place as needed.)

  1. Find the median.

The median is

nothing.

(Type an integer or a decimal rounded to one decimal place as needed.)

  1. Find the mode.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

The mode(s) is(are)

nothing.

(Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.)

B.

There is no mode.

  1. Find the midrange.

Q47

Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of

47.547.5

miles per hour.

Speed (miles per hour)

42minus−45

46minus−49

50minus−53

54minus−57

58minus−61

Frequency

2323

1515

66

33

22

The mean of the frequency distribution is

nothing

miles per hour.

(Round to the nearest tenth as needed.)

Which of the following best discribes the relationship between the computed mean and the actual mean?

A.

The computed mean

isis

close to the actual mean because the difference between the means is

moremore

than 5%.

B.

The computed mean

is notis not

close to the actual mean because the difference between the means is

lessless

than 5%.

C.

The computed mean

isis

close to the actual mean because the difference between the means is

lessless

than 5%.

D.

The computed mean

is notis not

close to the actual mean because the difference between the means is

moremore

than 5%.

Q49

One common system for computing a grade point average (GPA) assigns 4 points to an A, 3 points to a B, 2 points to a C, 1 point to a D, and 0 points to an F. What is the GPA of a student who gets an A in a

22-credit

course, a B in each of

threethree

33-credit

courses, a C in a

33-credit

course, and a D in a

22-credit

course?

Q50

Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us?

39 33 20 29 65 72 86 56 94 88 3539 33 20 29 65 72 86 56 94 88 35

Rangeequals=nothing

(Round to one decimal place as needed.)

Sample standard

deviationequals=nothing

(Round to one decimal place as needed.)

Sample

varianceequals=nothing

(Round to one decimal place as needed.)

What do the results tell us?

A.

The sample standard deviation is too large in comparison to the range.

B.

Jersey numbers on a football team do not vary as much as expected.

C.

Jersey numbers on a football team vary much more than expected.

D.

Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

Q54

Listed below are amounts (in millions of dollars) collected from parking meters by a security service company and other companies during similar time periods. Do the limited data listed here show evidence of stealing by the security service company's employees?

Security Service Company:Security Service Company:

1.41.4

1.71.7

1.51.5

1.61.6

1.51.5

1.61.6

1.61.6

1.71.7

1.41.4

1.51.5

Other Companies:Other Companies:

1.91.9

1.81.8

1.61.6

1.71.7

1.61.6

1.91.9

1.71.7

1.51.5

1.81.8

1.71.7

Find the coefficient of variation for each of the two samples, then compare the variation.

The coefficient of variation for the amount collected by the security service company is

nothing%.

(Round to one decimal place as needed.)

The coefficient of variation for the amount collected by the other companies is

nothing%.

(Round to one decimal place as needed.)

Do the limited data listed here show evidence of stealing by the security service company's employees? Consider a difference of greater than 1% to be significant.

A.

No. There is a significant difference in the variation.

B.

Yes. There is a significant difference in the variation.Yes. There is a significant difference in the variation.

C.

Yes. There is not a significant difference in the variation.

D.

No. There is a not significant difference in the variation.No. There is a not significant difference in the variation.

Q56

Use the body temperatures, in degrees Fahrenheit, listed in the accompanying table. The range of the data is

2.92.9degrees°F.

Use the range rule of thumb to estimate the value of the standard deviation. Compare the result to the actual standard deviation of the data rounded to two decimal places,

0.660.66degrees°F,

assuming the goal is to approximate the standard deviation within

0.2degrees°F.

LOADING...

Click the icon to view the table of body temperatures.

The estimated standard deviation is

nothingdegrees°F.

(Round to two decimal places as needed.)

Compare the result to the actual standard deviation.

The estimated standard deviation is

within 0.2 degrees ofwithin 0.2° of

more than 0.2 degrees greater thanmore than 0.2° greater than

more than 0.2 degrees less thanmore than 0.2° less than

the actual standard deviation. Thus, the estimated standard deviation

meets

does not meet

the goal.

Q57

Find the standard deviation, s, of sample data summarized in the frequency distribution table given below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values,

9.09.0.

sequals=StartRoot StartFraction n left bracket Summation from nothing to nothing left parenthesis f times x squared right parenthesis right bracket minus left bracket Summation from nothing to nothing left parenthesis f times x right parenthesis right bracket squared Over n left parenthesis n minus 1 right parenthesis EndFraction EndRootn∑f•x2−∑(f•x)2n(n−1)

Interval

3030-3636

3737-4343

4444-5050

5151-5757

5858-6464

6565-7171

Frequency

33

2121

3535

2222

88

33

Standard

deviationequals=7.77.7

(Round to one decimal place as needed.)

Consider a difference of 20% between two values of a standard deviation to be significant. How does this computed value compare with the given standard deviation,

9.09.0?

A.

The computed value is not significantly different from the given value.The computed value is not significantly different from the given value.

B.

The computed value is significantly greater than the given value.The computed value is significantly greater than the given value.

C.

The computed value is significantly less than the given value.

Q58

Using the accompanying table of data, blood platelet counts of women have a bell-shaped distribution with a mean of

255.1255.1

and a standard deviation of

65.465.4.

(All units are 1000

cells/muμL.)

Using Chebyshev's theorem, what is known about the percentage of women with platelet counts that are within

33

standard

deviationsdeviations

of the mean? What are the minimum and maximum possible platelet counts that are within

33

standard

deviationsdeviations

of the mean?

LOADING...

Click the icon to view the table of platelet counts.

Using Chebyshev's theorem, what is known about the percentage of women with platelet counts that are within

33

standard

deviationsdeviations

of the mean?

At least

nothing%

of women have platelet counts within

33

standard

deviationsdeviations

of the mean.

(Round to the nearest integer as needed.)

What are the minimum and maximum possible platelet counts that are within

33

standard

deviationsdeviations

of the mean?

The minimum possible platelet count within

33

standard

deviationsdeviations

of the mean is

nothing.

The maximum possible platelet count within

33

standard

deviationsdeviations

of the mean is

nothing.

(Type integers or decimals rounded to one decimal place as needed.)

Q59

For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is

3838

beats per minute, the mean of the listed pulse rates is

x overbarxequals=77.077.0

beats per minute, and their standard deviation is

sequals=24.624.6

beats per minute.

  1. What is the difference between the pulse rate of

3838

beats per minute and the mean pulse rate of the females?

  1. How many standard deviations is that [the difference found in part (a)]?
  2. Convert the pulse rate of

3838

beats per minutes to a z score.

  1. If we consider pulse rates that convert to z scores between

minus−2

and 2 to be neither significantly low nor significantly high, is the pulse rate of

3838

beats per minute significant?

  1. The difference is

nothing

beats per minute.

(Type an integer or a decimal. Do not round.)

  1. The difference is

nothing

standard deviations.

(Round to two decimal places as needed.)

  1. The z score is

zequals=nothing.

(Round to two decimal places as needed.)

  1. The lowest pulse rate is

not significant.

significantly high.

significantly low.

Q60

Consider a value to be significantly low if its z score less than or equal to

minus−2

or consider a value to be significantly high if its z score is greater than or equal to 2.

A test is used to assess readiness for college. In a recent year, the mean test score was

20.620.6

and the standard deviation was

5.55.5.

Identify the test scores that are significantly low or significantly high.

What test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice.

A.

Test scores that are greater than

nothing.

(Round to one decimal place as needed.)

B.

Test scores that are less than

nothing.

(Round to one decimal place as needed.)

C.

Test scores that are between

nothing

and

nothing.

(Round to one decimal place as needed. Use ascending order.)

What test scores are significantly high? Select the correct answer below and fill in the answer box(es) to complete your choice.

A.

Test scores that are greater than

nothing.

(Round to one decimal place as needed.)

B.

Test scores that are less than

nothing.

(Round to one decimal place as needed.)

C.

Test scores that are between

nothing

and

nothing.

(Round to one decimal place as needed. Use ascending order.)

Q61

Use z scores to compare the given values.

The tallest living man at one time had a height of

243243

  1. The shortest living man at that time had a height of

69.669.6

  1. Heights of men at that time had a mean of

171.43171.43

cm and a standard deviation of

7.657.65

  1. Which of these two men had the height that was more extreme?

Since the z score for the tallest man is

zequals=nothing

and the z score for the shortest man is

zequals=nothing,

the

shortest

tallest

man had the height that was more extreme.

(Round to two decimal places.)

Q62

Use the following cell phone airport data speeds (Mbps) from a particular network. Find the percentile corresponding to the data speed

4.74.7

Mbps.

0.20.2

0.20.2

0.30.3

0.30.3

0.40.4

0.50.5

0.50.5

0.50.5

0.60.6

0.60.6

0.70.7

0.80.8

0.90.9

0.90.9

0.90.9

1.21.2

1.41.4

1.41.4

1.61.6

1.91.9

2.42.4

2.42.4

2.52.5

2.62.6

2.82.8

2.92.9

3.23.2

3.83.8

4.44.4

4.64.6

4.74.7

5.55.5

6.96.9

7.77.7

7.87.8

8.98.9

9.89.8

10.510.5

Q63

Use the following cell phone airport data speeds (Mbps) from a particular network. Find

Upper P 90P90.

0.10.1

0.10.1

0.20.2

0.40.4

0.60.6

0.60.6

0.70.7

0.70.7

0.80.8

0.80.8

0.80.8

0.90.9

0.90.9

0.90.9

0.90.9

1.11.1

1.21.2

1.31.3

1.31.3

1.61.6

1.61.6

1.71.7

2.42.4

2.52.5

2.62.6

2.82.8

2.92.9

3.43.4

3.83.8

3.93.9

4.24.2

5.45.4

5.65.6

5.85.8

6.16.1

6.56.5

8.78.7

9.19.1

9.19.1

10.110.1

10.710.7

11.111.1

11.811.8

12.212.2

12.312.3

13.513.5

13.513.5

14.714.7

15.715.7

28.728.7

Upper P 90P90equals=nothing

Mbps

Q64

The following are the ratings of males by females in an experiment involving speed dating. Use the given data to construct a boxplot and identify the 5-number summary.

2.02.0

2.02.0

2.52.5

3.53.5

3.53.5

3.53.5

4.54.5

4.54.5

4.54.5

4.54.5

4.54.5

5.55.5

5.55.5

5.55.5

5.55.5

5.55.5

6.56.5

7.07.0

7.07.0

8.08.0

The 5-number summary is

nothing,

nothing,

nothing,

nothing,

and

nothing.

(Use ascending order. Type integers or decimals. Do not round.)

Which boxplot below represents the data?

A.

0246810Ratings

A boxplot titled Ratings is plotted above a horizontal scale from 0 to 10 in increments of 1. The boxplot consists of a box that extends from 2.5 to 4.5, a vertical line segment drawn through the box at 3.5, and a horizontal line segment extending from 1 to 9 that bisects the box. All values are approximate.

B.

0246810Ratings

A boxplot titled Ratings is plotted above a horizontal scale from 0 to 10 in increments of 1. The boxplot consists of a box that extends from 3.5 to 5.5, a vertical line segment drawn through the box at 4.5, and a horizontal line segment extending from 2 to 8 that bisects the box. All values are approximate.

C.

0246810Ratings

A boxplot titled Ratings is plotted above a horizontal scale from 0 to 10 in increments of 1. The boxplot consists of a box that extends from 2.75 to 6.5, a vertical line segment drawn through the box at 4.5, and a horizontal line segment extending from 2 to 9 that bisects the box. All values are approximate.

D.

0246810Ratings