A pharmaceutical company produces caffeine pills that are each supposed to contain 200 mg of caffeine. A plant that produces thousands of these pills per batch took an SRS of 15 pills from their latest batch to see if they contained the proper amount of caffeine. The sample data had a mean of 200.4 mg of caffeine per pill with a standard deviation of 0.8 mg. The amounts were roughly symmetric with no outliers. Based on this sample, which of the following is a 95% confidence interval for the mean amount of caffeine (in mg) per pill in this batch?
A pharmaceutical company produces caffeine pills that are each supposed to contain 200 mg of caffeine. A plant that produces thousands of these pills per batch took an SRS of 15 pills from their latest batch to see if they contained the proper amount of caffeine. The sample data had a mean of 200.4 mg of caffeine per pill with a standard deviation of 0.8 mg. The amounts were roughly symmetric with no outliers. Based on this sample, which of the following is a 95% confidence interval for the mean amount of caffeine (in mg) per pill in this batch?
Principles of Instrumental Analysis
7th Edition
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
ChapterA1: Evaluation Of Analytical Data
Section: Chapter Questions
Problem A1.12QAP
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Transcribed Image Text:A pharmaceutical company produces caffeine pills that are each supposed to contain 200 mg of caffeine. A
plant that produces thousands of these pills per batch took an SRS of 15 pills from their latest batch to see if
they contained the proper amount of caffeine. The sample data had a mean of 200.4 mg of caffeine per pill with
a standard deviation of 0.8 mg. The amounts were roughly symmetric with no outliers.
Based on this sample, which of the following is a 95% confidence interval for the mean amount of caffeine (in
mg) per pill in this batch?
Transcribed Image Text:A
200.4 + 0.8
0.8
200.4 土1.96
200
0.8
200.4 土2.145
V200
0.8
D.
200.4 土1.96
/15
0.8
200.4 土2.145
15
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