1. Below are the points scored by the winning team in Week 10 of NFL professional football games this Fall, 2011.
24 17 44 13 21 24 30 20 37 26 17 22 27 37 37 45
a) Use these values to test the hypothesis that the average number of points scored by winning teams is less than or equal to 28. Use the 10 percent level of significance.
b) Find the p-value of the test, and use the p-value to verify your answer.
c) Repeat a) and b) with the points scored by all the winning teams in Week 12 of NFL games. You can get the necessary data after the last game on Monday, Nov 28, 2011.
2.The manufacturer of a type of PVC pipe claims that the impact value for the pipe has a standard deviation of 0.1. An Izod impact test was performed on 20 specimens of the PVC pipe. The sample mean of the measured impact value is 1.25 and the sample standard deviation is 0.0649.
a) Give the appropriate choice of the null hypothesis. Mention any assumptions that made about the underlying distribution of the data.
b) Test the null hypothesis. Use the 5 percent level of significance.
c) Find the p-value of the test and comment on the appropriate choice of a significance level for this problem.