Two of the teams competing in the America’s Cup race are American Magic and Australia II. They race their boats over a part of the course several times. Following are a sample of times in minutes for each boat. Assume the population standard deviations are not the same. At the .05 significance level, can we conclude that there is a difference in their mean times?

a. What are the null and alternate hypotheses?

b. Compute the test statistic.

c. Compute the p-value.

d. What is your decision regarding the null hypothesis?

e. Interpret the result.

Transcribed Image Text:

Boat Time (minutes) Australia II 12.9 12.5 11.0 13.3 11.2 11.4 11.6 12.3 14.2 11.3 American Magic 14.1 14.1 14.2 17.4 15.8 16.7 16.1 13.3 13.4 13.6 10.8 19.0