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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.

1. Compute the sample mean and sample standard deviation of thetemperature data.
2. Graph a histogram of the data.
3. Graph a normal probability plot of the data.
4. 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.

1. Is there evidence that the water temperature is acceptable at ?=0.05?
2. 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.

1. Test the hypothesis H₀: p = 0.9 againstH₁: p ? 0.9 at ? = 0.05. Find the p-value.
2. Explain how the question in part (a) could be answered byconstructing a 95% two-sided confidence interval for p.