Question

Which of the following statements are true concerning the mean of the differences between two dependent samples? (matched pairs)? Select all that apply. A. The methods used to evaluate the mean of the differences between two dependent variables apply if one has 60 weights of men from Ohio and 60 weights of men from New York. B. If one has more than 5 matched pairs of sample? data, one can consider the sample to be large and there is no need to check for normality. C. If one has fifteen matched pairs of sample? data, there is a loose requirement that the fifteen differences appear to be from a normally distributed population. D. If one wants to use a confidence interval to test the claim that mu Subscript d Baseline greater than 0 with a 0.01 significance? level, the confidence interval should have a confidence level of 98?%. E. The requirement of a simple random sample is satisfied if we have independent pairs of voluntary response data.

Answer 1

Options C and D are correct.

C. If one has fifteen matched pairs of sample data, there is a loose requirement that the fifteen differences appear to be from a normally distributed population.

D. If one wants to use a confidence interval to test the claim that mu_d > 0 with a 0.01 significance level, the confidence interval should have a confidence level of 98%

Because confidence interval is two-sided and here the test is one-sided so have to twice the level of significance and then subtract from 1 to get the confidence level for the confidence interval.