A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean different than the 600mg claimed by the manufacturer. Test this claim at the .01 significance level. The mean acetaminophen content for a random sample of n = 29 tablets is 597.9 mg with a standard deviation of 3.8 mg. What are the hypotheses? What is the test statistic? Is it a z or a t? Find the P-value for this test statistic. How does it compare to the significance level? On the normal curve, indicate the location of the test statistic and the p-value. (label them on the graph) Write a conclusion in statistical terms and relate it to the parameters of this problem.

A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean different than the 600mg claimed by the manufacturer. Test this claim at the .01 significance level. The mean acetaminophen content for a random sample of n = 29 tablets is 597.9 mg with a standard deviation of 3.8 mg. What are the hypotheses? What is the test statistic? Is it a z or a t? Find the P-value for this test statistic. How does it compare to the significance level? On the normal curve, indicate the location of the test statistic and the p-value. (label them on the graph) Write a conclusion in statistical terms and relate it to the parameters of this problem.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean different than the 600mg claimed by the manufacturer. Test this claim at the .01 significance level. The mean acetaminophen content for a random sample of n = 29 tablets is 597.9 mg with a standard deviation of 3.8 mg.
What are the hypotheses?

What is the test statistic? Is it a z or a t?

Find the P-value for this test statistic. How does it compare to the significance level? On the normal curve, indicate the location of the test statistic and the p-value. (label them on the graph)