Hospital Stays:In a certain state, the average length of "short hospital stays" for men is 5.2 days and 4.5 days for women.A random sample of recent hospital stays for men and women revealed the following information.

Men,1. Women,2

Sample size ] 32 30

Sample mean] 5.5 days. 4.2 days

Population standard] 1.2 days. 1 .5 days

deviation

Question:At 1% significance level, can it be concluded that the difference in average short hospital stays for men and women is less than 2 days?

Let:1= average length of short hospital stays for menand2= average length of short hospital stays for women.

Perform the hypothesis test, using the 5-step process:

a)Let HoandH1 in symbols only.Identify which hypothesis is the claim and determine the type of test (right-tail, left-tail, two tail).

b)Determine the critical value and label it --for example, z = 1.96or t = -2.421, etc).

c)Compute the test value.If you are using the p-value method, then compute the test value and the p-value of the test.

d)Make the decision toReject HoorDo not reject Ho.

e)State your complete conclusion in the context of the claim.