[Data Set: L06028] The following sample of 16 measurements was selected from a population that is approximately normally distributed: 91 80 99 110 95 106 78 121 106 100 97 82 100 83 115 104 a. Construct an 80% confidence interval for the population mean. b. Construct a 95% confidence interval for the population mean and compare the width of this interval with that of part a. c. Carefully interpret each of the confidence intervals and explain why the 80% confidence interval is narrower.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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6.28
[Data Set: L06028] The following sample of 16 measurements was selected
from a population that is approximately normally distributed:
91
80
99
110
95
106
78
121
106
100
97
82
100
83
115
104
a. Construct an 80% confidence interval for the population mean.
b. Construct a 95% confidence interval for the population mean and compare
the width of this interval with that of part a.
c. Carefully interpret each of the confidence intervals and explain why the 80%
confidence interval is narrower.
Transcribed Image Text:6.28 [Data Set: L06028] The following sample of 16 measurements was selected from a population that is approximately normally distributed: 91 80 99 110 95 106 78 121 106 100 97 82 100 83 115 104 a. Construct an 80% confidence interval for the population mean. b. Construct a 95% confidence interval for the population mean and compare the width of this interval with that of part a. c. Carefully interpret each of the confidence intervals and explain why the 80% confidence interval is narrower.
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