Supposed it has been established that for a certain type of client the average length of a home visit by a public health nurse is 45 minutes with a standard deviation of 15 minutes, and that for a second type of client the average home visit is 30 minutes long with a standard deviation of 20 minutes. If a nurse randomly visits 35 clients from the first and 40 from the second population, what is the probability that the average length of home visit will differ between client type one and client type two by 20 or less minutes?
(10pts)
7. Supposed it has been established that for a certain type of client the average length of a home visit by a public health nurse is 45 minutes with a standard deviation of 15 minutes,and that for a second type of client the average home visit is 30 minutes long with a standard deviation of 20 minutes.If a nurse randomly visits 35 clients from the first and 40 from the second population,what is the probability that the average length of home visit will differ between client type one and client type two by 20 or less minutes? (10pts)