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Consider the following information on years of education:   Mean Standard Deviation N Lower Class 11.36 2.96 121 Working Class 12.73 2.79 676 Middle Class 14.40 3.04 636 Upper Class 15.49 2.95 53 Construct the 95% confidence interval for the mean number of years of education for lower class and middle class respondents. Construct the 99% confidence interval for the mean number of years of education for lower class and middle class respondents. As our confidence in the result increases, how does the size of the confidence interval change?  Explain why this is so.

Consider the following information on years of education:   Mean Standard Deviation N Lower Class 11.36 2.96 121 Working Class 12.73 2.79 676 Middle Class 14.40 3.04 636 Upper Class 15.49 2.95 53 Construct the 95% confidence interval for the mean number of years of education for lower class and middle class respondents. Construct the 99% confidence interval for the mean number of years of education for lower class and middle class respondents. As our confidence in the result increases, how does the size of the confidence interval change?  Explain why this is so.

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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  1. Consider the following information on years of education:
 

Mean

Standard Deviation

N

Lower Class

11.36

2.96

121

Working Class

12.73

2.79

676

Middle Class

14.40

3.04

636

Upper Class

15.49

2.95

53
  1. Construct the 95% confidence interval for the mean number of years of education for lower class and middle class respondents.
  2. Construct the 99% confidence interval for the mean number of years of education for lower class and middle class respondents.
  3. As our confidence in the result increases, how does the size of the confidence interval change?  Explain why this is so.
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