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
Homework Answers
Answer #1
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