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 men and #2 = average length of short hospital stays for women. Perform the hypothesis test, using the 5-step process: a) Let Ho and H1 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 = 1.96 ort = -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 to Reject Ho or Do not reject Ho. e) State your complete conclusion in the context of the claim