Extracted text: 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 0.01. Assume that the conditions for a two-sample t-test hold. Full-time jobs: 7, 2, 6, 3, 5, 4, 5, 7, 1, 6, 6, 2, 2, 5, 3, 7, 7, 7, 6, 4, 7, 1, 3, 4, 3 D Part-time jobs: 4, 7, 4, 6, 6, 1, 1, 7, 1, 1, 3, 4, 4, 6, 6, 3, 3, 1, 6, 4, 1, 7, 7, 1, 1 Determine the hypotheses for this test. Let HET be the population mean number of times students with full-time jobs eat out during a week, and let Hpt be the population mean number of times students with part-time jobs eat out during a week. Ho: HFT - HPT = 0 Ha: HFT - HPT > 0 Find the test statistic for this test. t = (Round to two decimal places as needed.)