The standard deviation for a population is a = 15.5.A sample of 21 observations selected from this population gave a mean equal to 140.05. The population is known to have a normal distribution. Round your answers to two decimal places. a. Make a 99% confidence interval for μ. b. Construct a 97% confidence interval for μ. c. Determine a 95% confidence interval for u. d. Does the width of the confidence intervals constructed in parts a through c decrease as the confidence level decreases?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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The standard deviation for a population is a = 15.5. A sample of 21 observations selected from this
population gave a mean equal to 140.05. The population is known to have a normal distribution.
Round your answers to two decimal places.
a. Make a 99% confidence interval for μ.
b. Construct a 97% confidence interval for u.
(i
c. Determine a 95% confidence interval for μ.
d. Does the width of the confidence intervals constructed in parts a through c decrease as the confidence
level decreases?
eTextbook and Medial
Transcribed Image Text:The standard deviation for a population is a = 15.5. A sample of 21 observations selected from this population gave a mean equal to 140.05. The population is known to have a normal distribution. Round your answers to two decimal places. a. Make a 99% confidence interval for μ. b. Construct a 97% confidence interval for u. (i c. Determine a 95% confidence interval for μ. d. Does the width of the confidence intervals constructed in parts a through c decrease as the confidence level decreases? eTextbook and Medial
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