Suppose that the amount of time University A students spend weekly working at part-time jobs is normally distributed. A random sample of 15 students was drawn and each reported the amount of time spent at part-time jobs (in minutes). These are listed below.

Suppose that the amount of time University A students spend weekly working at part-time jobs is normally distributed. A random sample of 15 students was drawn and each reported the amount of time spent at part-time jobs (in minutes). These are listed below. 180 200 150 165 290 230 120 185 500 180 180 700 400 550 400 A hypothesis test is conducted at the significance level of 5% to assess whether the average amount of time spent at the part-time jobs per student from University A is greater than 210 minutes. Conduct this test by answering Questions 1-3 below: 1. State the pair of hypotheses. 2. Find the value of the test-statistics and the degrees of freedom. 3. What is the conclusion? In addition, another study is also conducted to see if there is a sufficient evidence to support the variance of the amount of time spent at the part-time jobs per student from University A is different from 30,000 minutes at the significance level of 10%. Conduct this test by answering Questions 4-6 below: 4. State the pair of hypotheses. 5. Find the value of the test-statistics and the degrees of freedom. 6. What is the conclusion? Now consider another random sample of 15 students was drawn from University B and each reported the amount of time spent at part-time jobs (in minutes). These are listed here. Assume that this random sample is normally distributed. 125 350 235 135 210 185 95 200 900 1030 500 750 860 50 20 Is there sufficient evidence to support that the variances of the amount of time for part-time jobs for the two universities (Universities A and B) are different at the 10% level of significance? Conduct this test by answering Questions 7-9 below: 7. State the pair of hypotheses. 8. Find the value of the test-statistics and the degrees of freedom. 9. What is the conclusion? Is there sufficient evidence to support that an average amount of time spent at the part-time jobs per student from University A is less than that from University B by 50 minutes at the 1% level of significance? Conduct this test by answering Questions 10-12 below: 10. State the pair of hypotheses. 1 1. Find the value of the test-statistics and the degrees of freedom. 12. What is the conclusion?Finally, consider yet another random sample of 15 students was drawn from University C and each reported the amount of time spent at part-time jobs (in minutes). These are listed here. Assume that this random sample is normally distributed. 130 40 145 100 105 180 170 50 1000 900 600 850 600 54 40 Is there sufficient evidence to support that there is a difference among the average amount of time spent at the part-time jobs per student from Universities A, B, and C at the 5% level of significance? Conduct this test by answering Questions 13-15 below: 13. State the pair of hypotheses. 14. Find the value of the test-statistics and the degrees of freedom. 15. What is the conclusion