The 2020 General Social Survey contains information on the number of hours worked by a respondent each week. The mean number of hours worked per week is 43.85, with a standard deviation of 17.33. The sample size is 144. 9. Estimate the value of the standard error (5 pts). 10. Calculate a 90 percent confidence interval for these data (5 pts). 1 1. Provide a one or two sentence interpretation of this result (5 pts). 12. Using this data, provide a hypothetical numerical example which demonstrates that the precision of a confidence interval is in part a function of sample size (for example, increase sample size to 10,000) (5 pts). 13. Using this data, provide a hypothetical numerical example which demonstrates that the precision of a confidence interval is a function of both sample size and the level of confidence (increase to 99%) (5 pts)