Question

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

Answer #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:
d. What is the probability of making a type I error? EXPLAIN
e. If the screw thickness specifications are: 4.70 + 0.10
i. What proportion of the screws are out of specification? Will
this proportion affect the sample size?...

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