The General Social Survey collects data on demographics, education, and work, among many other characteristics of US residents. The histograms below display the distributions of hours worked per week for two education groups: those with and without a college degree. Suppose we want to estimate the average difference between the number of hours worked per week by all Americans with a college degree and those without a college degree. Summary information for each group is shown in the tables to the right of the histograms. 200 College degree 100 - College degree Mean 41.8 hrs SD 15.1 hrs 20 40 60 80 n 505 No college degree 250 - No college degree Mean 39.4 hrs 125 - SD 15.1 hrs n 667 20 40 60 80 Hours worked per week (a) Create a 90% confidence interval for the difference (College - No College) in number of hours worked between the two groups. Give your answers to 3 decimal places. with degrees freedom Confidence interval is ( (b) Interpret the confidence interval in the previous part.

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The General Social Survey collects data on demographics, education, and work, among many other characteristics of US residents. The histograms below display the distributions of hours worked per week for two education groups: those with and without a college degree. Suppose we
want to estimate the average difference between the number of hours worked per week by all Americans with a college degree and those without a college degree. Summary information for each group is shown in the tables to the right of the histograms.
200
College degree
100
College degree
41.8 hrs
Mean
SD
15.1 hrs
20
40
60
80
n
505
250
No college degree
No college degree
Mean
SD
39.4 hrs
125 -
15.1 hrs
n
667
20
40
60
80
Hours worked per week
(a) Create a 90% confidence interval for the difference (College - No College) in number of hours worked between the two groups. Give your answers to 3 decimal places.
t* =
with
degrees of freedom
Confidence interval is
(b) Interpret the confidence interval in the previous part.
Transcribed Image Text:The General Social Survey collects data on demographics, education, and work, among many other characteristics of US residents. The histograms below display the distributions of hours worked per week for two education groups: those with and without a college degree. Suppose we want to estimate the average difference between the number of hours worked per week by all Americans with a college degree and those without a college degree. Summary information for each group is shown in the tables to the right of the histograms. 200 College degree 100 College degree 41.8 hrs Mean SD 15.1 hrs 20 40 60 80 n 505 250 No college degree No college degree Mean SD 39.4 hrs 125 - 15.1 hrs n 667 20 40 60 80 Hours worked per week (a) Create a 90% confidence interval for the difference (College - No College) in number of hours worked between the two groups. Give your answers to 3 decimal places. t* = with degrees of freedom Confidence interval is (b) Interpret the confidence interval in the previous part.
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