Question

A manufacturing process drills holes in sheet metal that are supposed to be 0.5000cm in diameter....

A manufacturing process drills holes in sheet metal that are supposed to be 0.5000cm in diameter. Before and after a new drill press is installed, the hole diameter is carefully measured for 12 randomly chosen parts. At the 0.01 level of significance, can we conclude that the drill has a different variance?

New Drill Measurements: 0.4973 0.5055 0.5035 0.4906 0.5098 0.5036 0.4910 0.4875 0.5123 0.5023 0.4893 0.5063
Old Drill Measurements: 0.4689 0.5141 0.4837 0.5212 0.5113 0.5120 0.4865 0.4898 0.5153 0.5256 0.4743 0.5286

a. What test should you run?

b. State the null and alternate hypotheses

H0:_________________

H1:_________________

c. What is the level of significance?

d. Find the critical value

e. Compute the value of the test statistic

f. Determine the p-value

g. What is your decision regarding the null hypothesis? Interpret the result

Math   Statistics-And-Probability   
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