Question: Length of Hospital Stays. The average length of #short hospital stays” for men is slightly longer than that of women, 5.2 days vs. 4.5 days. A random sample of recent hospital stays for both men and women revealed the following. At a (probability of a type 1 error)= 0.01 is there sufficient evidence to conclude that the average hospital stay for men is longer than the average hospital stay for women?

Men Women

Sample size 32 30

Sample Mean 5.5 days 4.2 days

Population Standard Deviation 1.2 days 1.5 days