4. Data from the 2008 General Social Survey (GSS) sample show that the mean number of children per respondent was 1.94 with a standard deviation of 1.70. A total of 2,020 people answered this question. (a) Estimate the population mean number of children per adult using a 90% confidence limit. (b) Estimate the population mean number of children using a 95% confidence limit. (c) Interpret what both of these confidence limits tell us. (d) What do you notice about the estimates as far as precision when you use these two different confidence limits? (e) Now, estimate the 95% confidence limits using a sample of 1,000 respondents instead of 2,020 (assuming the sample mean remains = 1.94 and SD = 1.70). What are the 95% confidence limits when N=1000? (f) How do your findings change when you used a smaller sample size?

Question

4.	Data from the 2008 General Social Survey (GSS) sample show that the mean number of children per respondent was 1.94 with a standard deviation of 1.70. A total of 2,020 people answered this question. (a) Estimate the population mean number of children per adult using a 90% confidence limit. (b) Estimate the population mean number of children using a 95% confidence limit. (c) Interpret what both of these confidence limits tell us. (d) What do you notice about the estimates as far as precision when you use these two different confidence limits? (e) Now, estimate the 95% confidence limits using a sample of 1,000 respondents instead of 2,020 (assuming the sample mean remains = 1.94 and SD = 1.70). What are the 95% confidence limits when N=1000? (f) How do your findings change when you used a smaller sample size?

PsyDAG · Answer

90% = mean ± 1.645 SEm Use the equations and table mentioned in my responses to your previous posts.