Question

A researcher in sports equipment is investigating the design of racing swimsuits for women. The researcher selected a sample of 40 women swimmers from high school swim teams in the state and randomly assigned each swimmer to one of two groups: suit A or suit B. The women will wear the assigned suits for a certain race, and the mean swim times for each group will be recorded. The difference in the sample mean swim times will be calculated. Which of the following is the appropriate inference procedure for analyzing the results?

A. A two-sample t-interval for a difference between sample means
B. A two-sample t-interval for a difference between population means
C. A one-sample t-interval for a sample mean
D. A one-sample t-interval for a population mean
E. A matched pairs t-interval for a mean difference

Answer 1

B. A two-sample t-interval for a difference between population means

Explanation:

in the given situation we are comparing the groups that are independent also we test the difference of the population mean so here consider inference procedure for analyzing the results is that there should be two sample t -interval by taking a difference between the population means

hence, the correct option is B.