State and interpret the pearsons correlation coefficient

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Question 1

A The chart below was televised on a news programme. In 250 words, carefully examine and

Conduct the appropriate test at the α=0.05 level of significance level. Ensure you provide the null

and alternate hypothesis, the assumptions of the statistical test and demonstrate that they are met, the test statistic and critical value (with degrees of freedom and a sketch) and your decision and conclusion for the manager.

A. Part 1: Using the output below, provide a narrative descriptive summary of the key study

variables (in under 200 words). (You will need to tell your Director what you are examining)

• The null and alternative hypothesis that was tested;

• The type of statistical test and level of significance;

C. Part 3: The Director prefers to hear about confidence intervals. Find the 95% confidence interval

i. State the variable of interest that is being investigated and the type of scale on which it is measured? ~2marks

vi. Interpret the results you have obtained in part v, provide the supporting evidence and a sketch of the decision regions, critical and test values. Your interpretation must include information from the Descriptive Tables. ~5marks

Question 4

iii. What is the probability that lengths of gestation have a mean that is less than 260 days when

25 pregnant women are randomly selected? Provide a complete statement. ~4marks

statistical significance.

Also, do you have sufficient evidence to determine if this is a linear correlation? Explain ~4marks