Do women tend to spend more time on housework than men? If so, how much more? A study reported the results shown in the table to the right for the number of hours spent on housework per week. Complete parts a through d below. Gender Sample Size Mean Women Men Housework Hours The standard error is se= 0.9366. (Round to four decimal places as needed.) 477 500 a. Based on this study, calculate how many more hours per week, on the average, women spend on housework than men. 31.7 17.3 On average, women spend 14.4 more hours per week on housework. b. Find the standard error for comparing the means. What factor causes the standard error to be small compared to the sample standard deviations for the two groups? Clear all Standard Deviation 15.8 13.3 The large sample sizes small compared to the sample standard deviations for the two groups. cause the standard error to be to c. Calculate the 95% confidence interval comparing the population means for women (w) and men (HM). Interpret the result including the relevance of 0 being within the interval or not. The 95% confidence interval for (Hw-HM) is from Check answer

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Do women tend to spend more time
on housework than men? If so, how
much more? A study reported the
results shown in the table to the right
for the number of hours spent on
housework per week. Complete parts
a through d below.
The standard error is se = 0.9366.
(Round to four decimal places as needed.)
DOD
DOD
F4
a. Based on this study, calculate how many more hours per week, on the average,
women spend on housework than men.
On average, women spend 14.4 more hours per week on housework.
b. Find the standard error for comparing the means. What factor causes the
standard error to be small compared to the sample standard deviations for the
two groups?
Gender Sample Size Mean
Women
31.7
Men
17.3
OCT
27
F5
The
large sample sizes
cause the standard error to be
small compared to the sample standard deviations for the two groups.
tv
c. Calculate the 95% confidence interval comparing the population means for
women (w) and men (HM). Interpret the result including the relevance of 0 being
within the interval or not.
The 95% confidence interval for (Hw-HM) is from
Housework Hours
F6
477
500
Clear all
MacBook Air
F7
Standard
Deviation
15.8
13.3
to
Check answer
DII
F8
F9
A
Transcribed Image Text:Do women tend to spend more time on housework than men? If so, how much more? A study reported the results shown in the table to the right for the number of hours spent on housework per week. Complete parts a through d below. The standard error is se = 0.9366. (Round to four decimal places as needed.) DOD DOD F4 a. Based on this study, calculate how many more hours per week, on the average, women spend on housework than men. On average, women spend 14.4 more hours per week on housework. b. Find the standard error for comparing the means. What factor causes the standard error to be small compared to the sample standard deviations for the two groups? Gender Sample Size Mean Women 31.7 Men 17.3 OCT 27 F5 The large sample sizes cause the standard error to be small compared to the sample standard deviations for the two groups. tv c. Calculate the 95% confidence interval comparing the population means for women (w) and men (HM). Interpret the result including the relevance of 0 being within the interval or not. The 95% confidence interval for (Hw-HM) is from Housework Hours F6 477 500 Clear all MacBook Air F7 Standard Deviation 15.8 13.3 to Check answer DII F8 F9 A
Expert Solution
Step 1: Given information:

For gender women,

Sample size, n subscript W equals 477

Sample mean, x with bar on top subscript W equals 31.7

Sample standard deviation, s subscript W equals 15.8


For gender men, 

Sample size, n subscript M equals 500

Sample mean, x with bar on top subscript M equals 17.3

Sample standard deviation, s subscript M equals 13.3


Confidence level, 1 minus alpha equals 0.95

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