C2. Average years of education are reported by social class based on data from the GSS 2018. Mean Standard Deviation Lower class 12.19 3.08 102 Working class 13.16 2.93 523 Middle class 14.60 2.88 498 Upper class 15.21 3.01 34 a. Construct the 95% confidence interval for the mean number of years of education for lower- and working-class respondents. b. Construct the 99% confidence interval for the mean number of years of education for lower-class and middle-class respondents. C. 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
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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C2. Average years of education are reported by social class based on data from the GSS 2018.
Mean
Standard Deviation
Lower class
12.19
3.08
102
Working class
13.16
2.93
523
Middle class
14.60
2.88
498
Upper class
15.21
3.01
34
a. Construct the 95% confidence interval for the mean number of years of education
for lower- and working-class respondents.
b. Construct the 99% confidence interval for the mean number of years of education
for lower-class and middle-class respondents.
C. As our confidence in the result increases, how does the size of the confidence interval
Change? Explain why this is so.
CHAPTER 7 E
Transcribed Image Text:C2. Average years of education are reported by social class based on data from the GSS 2018. Mean Standard Deviation Lower class 12.19 3.08 102 Working class 13.16 2.93 523 Middle class 14.60 2.88 498 Upper class 15.21 3.01 34 a. Construct the 95% confidence interval for the mean number of years of education for lower- and working-class respondents. b. Construct the 99% confidence interval for the mean number of years of education for lower-class and middle-class respondents. C. As our confidence in the result increases, how does the size of the confidence interval Change? Explain why this is so. CHAPTER 7 E
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