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1. A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean in excess of the 600mg claimed by the manufacturer. Test this claim at the .005 significance level. The mean acetaminophen content for a random sample of n = 25 tablets is 601.9 mg with a standard deviation of 3.5 mg. a) What are the hypotheses? b) What is the test statistic? Is it a z or a t? Indicate its location on the graph below c) 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) d) Write a conclusion in statistical terms and relate it to the parameters of this problem.

1. A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean in excess of the 600mg claimed by the manufacturer. Test this claim at the .005 significance level. The mean acetaminophen content for a random sample of n = 25 tablets is 601.9 mg with a standard deviation of 3.5 mg. a) What are the hypotheses? b) What is the test statistic? Is it a z or a t? Indicate its location on the graph below c) 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) d) Write a conclusion in statistical terms and relate it to the parameters of this problem.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean in excess of the 600mg claimed by the manufacturer. Test this claim at the .005 significance level. The mean acetaminophen content for a random sample of n = 25 tablets is 601.9 mg with a standard deviation of 3.5 mg. a) What are the hypotheses? b) What is the test statistic? Is it a z or a t? Indicate its location on the graph below c) 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) d) Write a conclusion in statistical terms and relate it to the parameters of this problem.
Transcribed Image Text:1. A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean in excess of the 600mg claimed by the manufacturer. Test this claim at the .005 significance level. The mean acetaminophen content for a random sample of n = 25 tablets is 601.9 mg with a standard deviation of 3.5 mg. a) What are the hypotheses? b) What is the test statistic? Is it a z or a t? Indicate its location on the graph below c) 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) d) Write a conclusion in statistical terms and relate it to the parameters of this problem.
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