Question 8 (Unit 9) - 15 marks You will need to use Minitab to answer this question, The Minitab file that you require for this question should be downloaded from the 'Assessment' area on the module website. The cohort studied by Dr Adhikari in Question 6 also has information available on the participants' heights. The mean height of adult male and female participants for the country of Peru, measured in cm, is given in Table 4. Assume that the participants were a random sample from the general population of Peru. Table 4 Gender Sample size Mean (em) Standard deviation (em) Male 599 171.17 6.27 Female 866 158.34 3.67 (a) (1) Using the 1-Sample Z... option in Minitab, calculate and report a 95% confidence interval for the population mean of the height of adult men of Peru. Include a copy of the Minitab output in your answer. 13) (ii) Interpret this confidence interval in terms of all possible random samples of heights of adult men of Peru, by completing the sentence: About of the possible random samples we could select will give rise to an interval containing the population height of adult men of Peru, while only about _of the possible random samples we could select will give rise to an interval that does not contain the (21 (b) Now we want to compare the mean height of adult men and women of Peru using a two-sample z-test on this data. (i) Using appropriate notation, which you should define, specify the null and alternative hypotheses that would be associated with this test 121 (ii) Calculate by hand the value of the estimated standard error (ESE) of the difference between the sample means. (iii) Calculate by hand a 99% confidence interval for the difference between the population menu between men and wourgu. (3) (iv) On the basis of this confidence interval, what can you conclude in terms of evidence about the hypotheses? Interpret the results with specific reference to the context of the mean heights of adult men and women in Peru. (3) page 9 of 9