The university has joined a national Student Fitness Program (SFP) with 38 other universities. To participate in this partnership, the university upgraded their fitness/athletic facilities to be above and beyond Canadian standards. The program involves equipping facilities with brand new equipment, more rooms for specialized fitness classes/activities, and various options for personal entertainment while exercising (e.g., individual tv's on all cardio machines). The university wants to know if the mean satisfaction score for the sample of 33 students who are pilot-testing their new facility is different from the national mean satisfaction score across all universities involved in the partnership. The national mean satisfaction score for the SFP is 40. The satisfaction scores for the 33 students are provided in the table below. Please note that higher scores indicate greater satisfaction, and are rated on a scale from 1 to 50.

22	50	38	31	43	43	28	49	34	26	40
32	45	41	24	30	36	47	49	25	38	41
26	33	46	36	25	26	25	20	31	22	24

1. Running a one sample t-test to test your hypothesis and writting null and alternative hypotheses in symbols and in words. Why are you using a t-test rather than a z score?

2. Is this a one- or two-tailed test?What is/are the critical value(s)?