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?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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?
Transcribed Image Text: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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