Problem set 5: use the following information to answer questions 15-16 (5 points total): Suppose you are interested in comparing the mean number of hours worked by gender. Weekly Hours Worked Women Range 59 Minimum value 11 Maximum value 70 Mean 37.28 Variance 142.88 Standard deviation 11.95 Sum 2013 Number of observations 54 Weekly Hours Worked Men Range 60 Minimum value Maximum value 65 Mean 42.31 Variance 100.00 Standard deviation 10.00 Sum 1,227 Number of observations 29 15. Use all or some of the information above to calculate the value of the independent samples t- statistic (3 pts). Please use the formula 8.5 on page 256 to calculate the estimated standard error. 16. Suppose you are interested in comparing the mean number of hours worked by sex. Using the information above, calculate the number of degrees of freedom associated with an independent samples t-statistic (2 pts)