Question: 3. In a recent study about academic support services at local colleges, 85% of Wudmoor College students said they visited the tutoring center on campus

3. In a recent study about academic support services at local colleges, 85% of Wudmoor College students said they visited the tutoring center on campus within the last 30 days, while 81% of Statsville College students said they visited their respective tutoring center in the last 30 days. A random selection of students at both colleges were asked to visit their tutoring center as a walk-in, instead of making an appointment ahead of time. For the 27 Wudmoor College students who visited the tutoring center, the average wait-time to be seen by a tutor was 8.7 minutes. For the 24 Statsville College students who visited their tutoring center, the mean wait-time was 6.5 minutes. The standard deviation of the wait-times for the Wudmoor students and Statsville students was 3.3 and 4.9 minutes, respectively. Using an appropriate hypothesis test with a 0.01 level of significance, determine if there is a difference in the typical wait-times for walk-in students to be seen by at tutor at the two colleges. (10 pts total) a. State the null and alternative hypotheses for this test. (3 pts) b. Use your calculator to find the P-value. (1 pt) c. Compare the P-value to the significance level. (2 pts) d. Decide whether to reject the null hypothesis and briefly explain why. (2 pts)

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