Show all work. Use Minitab as much as you can.
Majority of problems from: Montgomery & Runger, 2007
Question 1:
The following data are the joint temperatures of the O-rings(degrees F) for each test firing or actual launch of the spaceshuttle rocket motor: 84, 49, 61, 40, 83, 67, 45, 66, 70, 69, 80,58, 68, 60, 67, 72, 73, 70, 57, 63, 70, 78, 52, 67, 53, 67, 75, 61,70, 81, 76, 79, 75, 76, 58, 31.
- Compute the sample mean and sample standard deviation of thetemperature data.
- Graph a histogram of the data.
- Graph a normal probability plot of the data.
- Comment on the data
Question 2:
The mean water temperature downstream from a power plant coolingtower discharge pipe should be no more than 100 degrees F. Pastexperience has indicated that the standard deviation of temperatureis 2 degrees F. The water temperature is measured on nine randomlychosen days, and the average temperature is found to be 98 degreesF.
- Is there evidence that the water temperature is acceptable at ?=0.05?
- What is the p-value for this test?
Question 3:
Suppose that 1000 customers are surveyed and 850 are satisfiedor very satisfied with a corporation’s products and services.
- Test the hypothesis H0: p = 0.9 againstH1: p ? 0.9 at ? = 0.05. Find the p-value.
- Explain how the question in part (a) could be answered byconstructing a 95% two-sided confidence interval for p.
