How often do women feel sad? A recent GSS asked, "How many days in the past seven days have you felt sad?" The 816 women who responded had a median of 1, mean of 1.81, and standard deviation of 1.98. The 633 men who responded had a median of 1, mean of 1.42, and standard deviation of 1.83. 8.82 Į a. Find a 95% confidence interval for the population mean for women. Interpret. b. Do you think that this variable has a normal distribu- tion? Does this cause a problem with the confidence interval method in part a? Explain.

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How often do women feel sad? A recent GSS asked,
"How many days in the past seven days have you felt
sad?" The 816 women who responded had a median of
1, mean of 1.81, and standard deviation of 1.98. The 633
men who responded had a median of 1, mean of 1.42, and
standard deviation of 1.83.
8.82
Į a. Find a 95% confidence interval for the population
mean for women. Interpret.
b. Do you think that this variable has a normal distribu-
tion? Does this cause a problem with the confidence
interval method in part a? Explain.
Transcribed Image Text:How often do women feel sad? A recent GSS asked, "How many days in the past seven days have you felt sad?" The 816 women who responded had a median of 1, mean of 1.81, and standard deviation of 1.98. The 633 men who responded had a median of 1, mean of 1.42, and standard deviation of 1.83. 8.82 Į a. Find a 95% confidence interval for the population mean for women. Interpret. b. Do you think that this variable has a normal distribu- tion? Does this cause a problem with the confidence interval method in part a? Explain.
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