Question

A researcher was interested in the relationship between a swimmer’s hand length and corresponding time to complete the 100-meter freestyle. The researcher selected a random sample of twenty swimmers from all participants in a swim competition. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle?
A. A matched-pairs t -test for a mean difference

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

C. A two-sample z-test for a difference between proportions

D. A chi-square test of independence

E. A linear regression t-test for slope

Answer 1

Answer:

[B] A two-sample t -test for a difference between means.

Step-by-step explanation:

"A two sample t test for a difference in means was conducted to investigate whether the average time to swim a lap with the freestyle stroke is different from the average time to swim a lap with the butterfly stroke."