The 2022 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 44.82, with a standard deviation of 18.32. The sample size is 196. Estimate the value of the standard error (5 pts).

Calculate a 95 percent confidence interval for these data (5 pts).

Provide a one or two sentence interpretation of this result (5 pts).

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 at 95 percent confidence interval) (5 pts).

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)?