The 2008 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 40.56, with a standard deviation of 17.54. The sample size is 169.

A)Estimate the value of the standard error

B)Calculate a 90 percent confidence interval for these data

C)Provide a one or two sentence interpretation of this result

D)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)

E)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%)