) Forty-six members of a bowling league sign up for a program that claims to improve bowling scores. The participants bowl a set of five games before the program begins and a set of five games again at the end to measure their improvement. The mean number of points improved (over the set of five games) was x=11. Assume the standard deviation is σ= 45. and let μ be the population mean number of points improved for the set of five games. To determine whether the program is effective, a test is made of the hypotheses H0 : μ = 0 versus H1 : μ > 0. Compute the value of the test statistic.

1) A lab technician is tested for her consistency by making multiple measurements of the cholesterol level in one blood sample. The target precision is a standard deviation of 1.1 mg/dL or less. If 20 measurements are taken and the standard deviation is 1.6 mg/dL, is there enough evidence to support the claim that her standard deviation is greater than the target, at a = 0.01?

2) A test is made of H0 : μ = 47 versus H1 : μ > 47. A sample of size n=69 is drawn, and x=48. The population standard deviation is σ=27. Compute the value of the test statistic z.

3) A test is made of H0 : μ = 55 versus H1 : μ > 55. A sample of size n=62 is drawn, and x=62. The population standard deviation is σ=27. Compute the value of the test statistic z and determine if H0 is rejected at the level.

4) State the appropriate null and alternative hypothesis and find the critical value for a right-tailed test with α = 0.05 and n = 18. Use σ2 = 196.