# Question: A recent GSS asked How many days in the past

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.

a. Find a 95% confidence interval for the population mean for women. Interpret.

b. Do you think that this variable has a normal distribution? Does this cause a problem with the confidence interval method in part a? Explain.

a. Find a 95% confidence interval for the population mean for women. Interpret.

b. Do you think that this variable has a normal distribution? Does this cause a problem with the confidence interval method in part a? Explain.

## Answer to relevant Questions

Refer to the previous exercise. This question was asked of 10 students in a class at the University of Wisconsin recently. The responses were 0, 0, 1, 0, 7, 2, 1, 0, 0, 3. Find and interpret a 90% confidence interval for ...The GSS asked in 2008, “On the average day about how many hours do you personally watch television?” Software reports the results for females, a. Would you expect that TV watching has a normal distribution? Why or why ...A tax assessor wants to estimate the mean property tax bill for all homeowners in Madison, Wisconsin. A survey 10 years ago got a sample mean and standard deviation of $1400 and $1000. Explain why the terminology “do not reject H0” is preferable to “accept H0.” Suppose you wanted to test H0: p = 0.50, but you had 0 successes in n trials. If you had found the test statistic using the se = √p̂(1 - p̂)/n designed for confidence intervals, show what happens to the test statistic. ...Post your question