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Step 5 of 5: What is the conclusion?

Step 5 of 5: What is the conclusion?

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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A drug, which is used for treating cancer, has potentially dangerous side effects if it is taken in doses which are larger than the required dosage for the treatment. The tablet should contain 47.87 mg and the variance should be 0.04. 15 tablets are randomly selected and the amount of drug in each tablet is measured. The sample has a mean of 47.875 mg and a variance of 0.0008 mg. Does the data suggest at a = 0.05 that the tablets do not have the desired variance? Step 5 of 5: What is the conclusion?
Transcribed Image Text:A drug, which is used for treating cancer, has potentially dangerous side effects if it is taken in doses which are larger than the required dosage for the treatment. The tablet should contain 47.87 mg and the variance should be 0.04. 15 tablets are randomly selected and the amount of drug in each tablet is measured. The sample has a mean of 47.875 mg and a variance of 0.0008 mg. Does the data suggest at a = 0.05 that the tablets do not have the desired variance? Step 5 of 5: What is the conclusion?
Expert Solution
Step 1: Determine the given data in the question

Let sigma squaredbe the population variance.

Given that,

Pop. mean left parenthesis mu right parenthesis equals 47.87

Pop. variance left parenthesis sigma squared right parenthesis equals 0.04

Sample size left parenthesis n right parenthesis equals 15

Sample mean left parenthesis X with bar on top right parenthesis equals 47.875

Sample variance left parenthesis S squared right parenthesis equals 0.0008

Assume the level of significance left parenthesis alpha right parenthesis equals 0.05


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