College financial aid offices expect students to use summer earnings to help pay for college. But how large are these earnings? One large university studied this question by asking a random sample of 1296 students who had summer jobs how much they earned. The financial aid office separated the responses into two groups based on gender, so these can be viewed as independent samples. Here are the data in summary form:

a. How can you tell from the summary statistics that the distribution of earnings in each group is strongly skewed to the right? The use of two sample t procedures is still justified. Why?

b. Construct and interpret a 90% confidence interval for the difference between the true mean summer earnings of male and female students at this university.

c. Interpret the 90% confidence level in the context of this study.

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305 Group 0.200 = 20.0%T х 1526 Males 675 $1884.52 $1368.37 Females 621 $1360.39 $1037.46