According to a survey, working men reported doing 62.7 minutes of household chores a day, while working women reported tackling 76 minutes daily. But when examined more closely, millennial men reported doing just as many household chores as the average working women, 76 minutes, compared to an average of 57 minutes among both boomer men and Gen Xers. The information that follows is adapted from these data and is based on random samples of 1126 men and 815 women. All Women All Men Millennials Boomers Xers Mean Standard Deviation 76 62.7 76 57 57 10.4 14.6 9.2 13.9 10.5 n 815 1,126 335 495 296 (a) Construct a 95% confidence interval for the average time all men spend doing household chores. (Round your answers to one decimal place.) 61.2 X minutes to 64.2 X minutes (b) Construct a 95% confidence interval for the average time women spend doing household chores. (Round your answers to one decimal place.). x minutes to 76.5 x minutes 75.5

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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According to a survey, working men reported doing 62.7 minutes of household chores a day, while working women reported tackling 76 minutes daily. But when examined more
closely, millennial men reported doing just as many household chores as the average working women, 76 minutes, compared to an average of 57 minutes among both boomer men
and Gen Xers. The information that follows is adapted from these data and is based on random samples of 1126 men and 815 women.
Mean Standard Deviation
76
62.7
Millennials 76
Boomers
57
Xers
57
All Women
All Men
10.4
14.6
9.2
13.9
10.5
n
815
1,126
335
495
296
(a) Construct a 95% confidence interval for the average time all men spend doing household chores. (Round your answers to one decimal place.)
61.2
x minutes to 642
x minutes
(b) Construct a 95% confidence interval for the average time women spend doing household chores. (Round your answers to one decimal place.)
x minutes to 76.5
75.5
x minutes
Transcribed Image Text:According to a survey, working men reported doing 62.7 minutes of household chores a day, while working women reported tackling 76 minutes daily. But when examined more closely, millennial men reported doing just as many household chores as the average working women, 76 minutes, compared to an average of 57 minutes among both boomer men and Gen Xers. The information that follows is adapted from these data and is based on random samples of 1126 men and 815 women. Mean Standard Deviation 76 62.7 Millennials 76 Boomers 57 Xers 57 All Women All Men 10.4 14.6 9.2 13.9 10.5 n 815 1,126 335 495 296 (a) Construct a 95% confidence interval for the average time all men spend doing household chores. (Round your answers to one decimal place.) 61.2 x minutes to 642 x minutes (b) Construct a 95% confidence interval for the average time women spend doing household chores. (Round your answers to one decimal place.) x minutes to 76.5 75.5 x minutes
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