Question 2 Based on the 1988 National Survey of Families and Households, it was re- ported that men spent a mean of 18.1 hours per week doing housework. Suppose the standard deviation was 13.1 hours....
Question 2 Based on the 1988 National Survey of Families and Households, it was re- ported that men spent a mean of 18.1 hours per week doing housework. Suppose the standard deviation was 13.1 hours. a Assuming a normal distribution, sketch the approximate distribution of the number of hours that a randomly selected man spent doing housework in 1988 b Based on the graph in part (a), explain why the population distribution is very unlikely to be normal and why is it most likely skewed t the right. c Assuming a normal distribution (even though it is unlikely), what propor- tion of men spent an average of 20 hours or more on housework each wee in 1988? d What proportion of men spent less than an average of 5 hours on housework each week in 1988? * You may use technology to calculate the probabilities in parts (c) and (d) but you must show what you've done to get your answer.
Question 2 Based on the 1988 National Survey of Families and Households, it was re- ported that men spent a mean of 18.1 hours per week doing housework. Suppose the standard deviation was 13.1 hours. a Assuming a normal distribution, sketch the approximate distribution of the number of hours that a randomly selected man spent doing housework in 1988 b Based on the graph in part (a), explain why the population distribution is very unlikely to be normal and why is it most likely skewed t the right. c Assuming a normal distribution (even though it is unlikely), what propor- tion of men spent an average of 20 hours or more on housework each wee in 1988? d What proportion of men spent less than an average of 5 hours on housework each week in 1988? * You may use technology to calculate the probabilities in parts (c) and (d) but you must show what you've done to get your answer.