a) What is the p-value of the test statistic? b) Construct the relevant confidence interval estimate on the true mean. Use interval notation, and write infinity when/if necessary. c) Test the manufacturer's claim, stating the results in context.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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Benzene is a toxic chemical used in the manufacturing of medicinal chemicals, dyes, artificial leather, and linoleum. A manufacturer claims that its exit water meets the federal regulation with a mean of less than 7980 ppm of benzene. To assess the benzene content of the water, 10 independent samples were collected and found to have an average of 7906 ppm benzene. Assume a known standard deviation of 80 ppm. Using a significance level of 0.01,

a) What is the p-value of the test statistic?
b) Construct the relevant confidence interval estimate on the true mean. Use interval notation, and write infinity when/if necessary.
c) Test the manufacturer's claim, stating the results in context.

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