In a survey, 11 male statistics students were asked to report their height in in

Question

In a survey, 11 male statistics students were asked to report their height in inches. Their heights were then accurately measured after the survey was completed. The mean of their reported heights was 69.227 in. with standard deviation 2.11 in., and the mean of their measured heights was 68.555 in. with standard deviation 2.09 in. The standard deviation of the differences between the reported and measured heights was 0.826 in. Using a 0.05 significance level, you need to test the claim that male statistics students do exaggerate by reporting heights that are greater than their actual measured heights. What is the appropriate null hypothesis? Assume mu_1 is the mean of reported, mu_2 is the mean of measured, and mu_d is the mean of the difference between reported and measured. A. mu_1 - mu_2 > 0 b. mu_1 - mu_2 lessthanorequalto 0 c. mu_d > 0 d. mu_d lessthanorequalto 0 x bar_d > 0 What should you use for the value of the test statistic? a. 0.67 b. 1.64 c. 1.96 d. 2.70 e. 4.41

Explanation / Answer

28) option A is correct

29)

std error =std deviation/(n)1/2 =0.249

test stat =(x1-x2)/std error =(69.227-68.555)/0.249 =2.70

hence option d is correct.

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