According to the Bureau of Labor Statistics, in 2014 men spent an average of 42 hours per week on leisure activities, while women averaged of 36.4 hours. Suppose the sample standard deviations were 11.0 and 10.2 hours, respectively. These results were optained from samples of women and menof size 5,848 and 5,752, respectively. In this study, leisure refers to time spent socializing, in passive leisure, in active leisure, volunteering, in pet care, gardening, and recreational child care. Assume that the amounts of leisure time spent by Men and women have normal distributions with equal population variances.

A) Determine the pooled estimate of the common populations' standard deviation.

B) Produce the margin of error to estimate the difference of the two populations means with a confidence level of 95%

C) Calculate a 95% confidence interval for the difference in the average leisure time between women and men.

D) Does your results in part C indicate that the average amount of men's leisure time was larger than that of women in 2014? Support your assertions.

n I U I I... I U L I I I U I I I I I I J I I\\ I L I IVI According to the Bureau of Labor Statistics, in 2014 men spent an average of 42 hours per week on leisure activities, while women averaged of 36.4 hours. Suppose the sample standard deviations were 11.0 and 10.2 hours, respectively. These results were optained from samples of women and men of size 5,848 and 5,752, resepctivelv. In this study, leisure refers to time spent socializing, in passive leisure, in active leisure, volunteering, in pet care, gardening, and recreational child ca re. Assume that the amounts of leisure time spent by menand women have normal distributions with equal population variances. A] Determine the pooled estimate of the common populations' standard deviation. B} Produce the margin of error to estimate the difference of the two populations means with a confidence level of 95% C] Calculate a 95% condence interval for the difference in the average leisure time between women and men. D} Does your results in part C indicate that the average amount of men's leisure time was larger than that of women in 2014? Support your assertions. ll