A machine produces ball bearings is calibrated to produce diameters of 0.5 inches on average. A...
A machine produces ball bearings is calibrated to produce diameters of 0.5 inches on average. A sample of 10 ball bearings from the process was taken. The average diameter was 0.493 inches, with a standard deviation of 0.022 inches. A quality control inspector wants to determine if the machine is calibrated properly. Conduct a hypothesis test at the alpha= 0.05 level to answer his question.
1. What is the parameter of interest?
2. What is the Point estimate for the parameter of interest?
3. Write down the Null Hypothesis
4. Write down the Alternative Hypothesis
5. What’s the test-statistics?
6. Where is the rejection region?
7. What’s the critical value?
8. What’s your conclusion?
9. Write down the definition of P-value in terms of math, and estimate a reasonable range of P-value.
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