Several square inches of gold leaf are required in the manufacture of a high-end component. Suppose that,

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Several square inches of gold leaf are required in the manufacture of a high-end component. Suppose that, the population of the amount of gold leaf has \(\sigma=8.4\) square inches. We want to test the null hypothesis \(\mu=80.0\) square inches against the alternative hypothesis \(\mu<80.0\) square inches on the basis of a random sample of size \(n=100\).

(a) If the null hypothesis is rejected for \(\bar{X}<78.0\) square inches and otherwise it is accepted, what is the probability of Type I error?

(b) What is the answer to part

(a) if the null hypothesis is \(\mu \geq 80.0\) square inches instead of \(\mu=80.0\) square inches?

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Probability And Statistics For Engineers

ISBN: 9780134435688

9th Global Edition

Authors: Richard Johnson, Irwin Miller, John Freund

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