1. A production line is producing electrical components. Under normal conditions 2.4% of the components are defective. To monitor production, a sample of 18 components is taken each hour. If the number of defectives becomes too high, the production line is stopped and adjustments are made. (a) What distribution applies to the number of defectives in a sample? (b) Write down specifically the null hypothesis and the alternative hypothesis. (c) For 1% level of significance, what is the smallest number of defectives in the sample which should shut down the production line? 2. In problem 1 the probability that any 1 component will be defective has increased to 6.3%. Now what is the probability of a Type Il error?
1. A production line is producing electrical components. Under normal conditions 2.4% of the components are defective. To monitor production, a sample of 18 components is taken each hour. If the number of defectives becomes too high, the production line is stopped and adjustments are made. (a) What distribution applies to the number of defectives in a sample? (b) Write down specifically the null hypothesis and the alternative hypothesis. (c) For 1% level of significance, what is the smallest number of defectives in the sample which should shut down the production line? 2. In problem 1 the probability that any 1 component will be defective has increased to 6.3%. Now what is the probability of a Type Il error?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:1. A production line is producing electrical components. Under normal conditions
2.4% of the components are defective. To monitor production, a sample of 18
components is taken each hour. If the number of defectives becomes too high, the
production line is stopped and adjustments are made.
(a) What distribution applies to the number of defectives in a sample?
(b) Write down specifically the null hypothesis and the alternative hypothesis.
(c) For 1% level of significance, what is the smallest number of defectives in the
sample which should shut down the production line?
2. In problem 1 the probability that any 1 component will be defective has increased
to 6.3%. Now what is the probability of a Type Il error?
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