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Problem set 3buse the following in tons (25 points total)! The 2020 General Social Sure tours worked by a respondent each wee Stand deviation of Estimate the vah rd error ( pts) 43185 4 178 standard error square root of 173square root 1 3333 The estimated value the standard error ins'1 9339 - 133 "10 Calculate a 95 percent interval for these data (S PEP Gil meant 385#2106 133 Lover CL HigherCI 14 Provide a one or two of this result (5 pts) We are 954% confident that the mean mi er of hours worked britsponent per week is between 12 Using this data, example which demonstrates that the precision of a comm for example increase sample ng this data onstrates that the cision of a consider d the level off confidence (inc.Problem set 3: use the following information to answer questions 9-15 (25 points total): 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 169 9. Estimate the value of the standard enor (5 pts) (-43.85 0-17:33 m 169 standard error - oisquare root! 1733/square root 169-13333 The estimated value of the standard emeri 183:3 83 10. Calculate a 95 percent confidence interval for these care (@ pts), 11 Provide a one or two sentence expretation of this result (5 pts); We are 95%% confident that the mean number week is between HJESS hours 12. Using this data provide pothetical hammerin precision of a confidence for Stamp increase sample size toll old00m s ors) edition of a co oundence