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.

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C2. Average years of education are reported by social class based on data from the GSS 2019
17
Mean
Standard Deviation
2
12.19
3.08
102
Lower class
13.16
2.93
523
Working class
14.60
2.88
498
Middle class
15.21
3.01
34
Upper class
a. Construct the 95% confidence interval for the mean number of years of education
for lower- and working-class respondents.
of education
b. Construct the 99% confidence interval for the mean number of years
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.
Transcribed Image Text:C2. Average years of education are reported by social class based on data from the GSS 2019 17 Mean Standard Deviation 2 12.19 3.08 102 Lower class 13.16 2.93 523 Working class 14.60 2.88 498 Middle class 15.21 3.01 34 Upper class a. Construct the 95% confidence interval for the mean number of years of education for lower- and working-class respondents. of education b. Construct the 99% confidence interval for the mean number of years 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.
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