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 deter mine 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-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 9.77, 9.79, a?