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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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?
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