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1. A certain process for manufacturing screws whose nominal diameter is 4.70 mm. Historically the process...

1. A certain process for manufacturing screws whose nominal diameter is 4.70 mm. Historically the process standard deviation is known to be 0.05mm. Measurements are taken on a sample with the intention of evaluating the process mean. The results were the following:

#Data/How Frequently

4.52

1

4.66

4

4.67

5

4.68

7

4.69

14

4.70

9

4.71

6

4.72

4

 
 a. Do you think the mean is at "face"/nominal value? 
 b. What is the P-value of the test? 
 c. What will be the probability of making a type II error if the real mean were located at 4.68 mm? EXPLAIN
Math   Statistics-And-Probability   
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