Chapter 9, Problem 76SE

Eating Out Jacqueline Loya, a statistics student, asked students with jobs how many times they went out to eat in the last week. There were 25 students who had part-time jobs, and 25 students who had full-time jobs. Carry out a hypothesis test to determine whether the mean number of meals out per week for students with full-time jobs is greater than that for those with part-time jobs. Use a significance level of $0.05$. Assume that the conditions for a two-sample $t\text{-test}$ hold.

Full-time jobs: $5,3,4,4,4,2,1,5,6,5,6,3,3,2,4,5,2,3,7,5,5,1,4,6,7$

Part-time jobs: $1,1,5,1,4,2,2,3,3,2,3,2,4,2,1,2,3,2,1,3,3,2,4,2,1$