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A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.56 years and the standard deviation is 9.21 years. a) Construct a 99% confidence interval for the mean age of all customers, assuming that the assumptions and conditions for the confidence interval have been met. b) How large is the margin of error? c) How would the confidence interval change if you had assumed that the population standard deviation was known to be 10.0 years? a) What is the confidence interval? C (Round to two decimal places as needed.) 41 39 36 29 34 37 26 47 28 47 20 19 21 14 36 41 32 26 40 31 20 47 36 36 31

A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.56 years and the standard deviation is 9.21 years. a) Construct a 99% confidence interval for the mean age of all customers, assuming that the assumptions and conditions for the confidence interval have been met. b) How large is the margin of error? c) How would the confidence interval change if you had assumed that the population standard deviation was known to be 10.0 years? a) What is the confidence interval? C (Round to two decimal places as needed.) 41 39 36 29 34 37 26 47 28 47 20 19 21 14 36 41 32 26 40 31 20 47 36 36 31

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.56 years and the standard deviation is 9.21 years. a) Construct a 99% confidence interval for the mean age of all customers, assuming that the assumptions and conditions for the confidence interval have been met. b) How large is the margin of error? 41, 39, 36, 29, 3437, 26, 47, 28, 47 20, 19, 21, 14, 36 41, 32, 26, 40, 31 20, 47, 36, 36, 31 c) How would the confidence interval change if you had assumed that the population standard deviation was known to be 10.0 years? a) What is the confidence interval? (Round to two decimal places as needed.) A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.56 years and the standard deviation is 9.21 years. a) Construct a 99% confidence interval for the mean age of all customers, assuming that the assumptions and conditions for the confidence interval have been met. b) How large is the margin of error? c) How would the confidence interval change if you had assumed that the population standard deviation was known to be 10.0 years? a) What is the confidence interval? (Round to two decimal places as needed.) B D Q 2 41 39 36 29 340 37 26 47 28 47 20 19 21 14 36 41 32 26 40 31 20 47 36 36 31 :
Transcribed Image Text:A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.56 years and the standard deviation is 9.21 years. a) Construct a 99% confidence interval for the mean age of all customers, assuming that the assumptions and conditions for the confidence interval have been met. b) How large is the margin of error? 41, 39, 36, 29, 3437, 26, 47, 28, 47 20, 19, 21, 14, 36 41, 32, 26, 40, 31 20, 47, 36, 36, 31 c) How would the confidence interval change if you had assumed that the population standard deviation was known to be 10.0 years? a) What is the confidence interval? (Round to two decimal places as needed.) A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.56 years and the standard deviation is 9.21 years. a) Construct a 99% confidence interval for the mean age of all customers, assuming that the assumptions and conditions for the confidence interval have been met. b) How large is the margin of error? c) How would the confidence interval change if you had assumed that the population standard deviation was known to be 10.0 years? a) What is the confidence interval? (Round to two decimal places as needed.) B D Q 2 41 39 36 29 340 37 26 47 28 47 20 19 21 14 36 41 32 26 40 31 20 47 36 36 31 :
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