# Question: A random sample of 100 women from the General Social

A random sample of 100 women from the General Social Survey showed that the mean number of children reported was 1.85 with a standard deviation of 1.5. (Interestingly, a sample of 100 men showed a mean of 1.49 children.)

a. Find a 95% confidence interval for the population mean number of children for women. Because the sample size is so large, you can use 1.96 for the critical value of t (which is the same as the critical value of z) if you do the calculations manually.

b. Find a 90% confidence interval. Use 1.645 for the critical value of t, which is the critical value of z.

c. Which interval is wider, and why?

a. Find a 95% confidence interval for the population mean number of children for women. Because the sample size is so large, you can use 1.96 for the critical value of t (which is the same as the critical value of z) if you do the calculations manually.

b. Find a 90% confidence interval. Use 1.645 for the critical value of t, which is the critical value of z.

c. Which interval is wider, and why?

**View Solution:**## Answer to relevant Questions

In finding a confidence interval for a random sample of 30 students GPAs, one interval was (2.60, 3.20) and the other was (2.65, 3.15). a. One of them is a 95% interval and one is a 90% interval. Which is which, and how do ...The weights of four randomly and independently selected bags of tomatoes labeled 5 pounds were found to be 5.1, 5.0, 5.3, and 5.1 pounds. Assume Normality. a. Find a 95% confidence interval for the mean weight of all bags of ...A body mass index of more than 25 is considered unhealthful. The Minitab output given is from 50 randomly and independently selected people from the NHANES study. A biologist is interested in studying the effects that applying insecticide to a fruit farm has on the local bat population. She collects 23 bats from a grove of fruit trees where the insecticide is used and finds the mean ...Report and interpret the 95% confidence interval for the difference in mean triglyceride level for men and women (refer to the Minitab output in Exercise 9.59). Does this support the hypothesis that men and women differ in ...Post your question