Question

A rivet is to be inserted into a hole. If the standard deviation of hole diameter exceeds 0.02 mm, there is an unacceptably high probability that the rivet will not fit. A random sample of n = 15 parts is selected, and the hole diameter is measured. The sample standard deviation of the hole diameter measurements is s = 0.016mm. At α = 0.05 conduct a hypothesis test to investigate to indicate that the standard deviation of hole diameter exceeds 0.02 mm. To gain full credit, you should provide the following 1-8:

1. State and check the modeling assumptions.

2. Define the parameter of interest.


3. State the hypotheses.

4. Calculate the value of the test statistic. What is the distribution of the test statistic?


5. Find the p-value using the appropriate table.

6. State the decision and the conclusion in the context of the problem.


7. Calculate a 95% confidence for σ and interpret your interval in the context of this problem.

8. Use the confidence bound in part 7 to test the hypothesis.

Answer 1