6.28 The following sample of 16 measurements was se- lected from a population that is approximately normally Loa distributed: LO28 91 80 99 110 95 106 78 121 106 100 97 82 100 83 115 104 a. Construct an 80% confidence interval for the popula- tion 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 The following sample of 16 measurements was se-
lected from a population that is approximately normally
LOGO2e 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 popula-
tion 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 The following sample of 16 measurements was se- lected from a population that is approximately normally LOGO2e 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 popula- tion 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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