Question: The post anesthesia care area (recovery room) as St. Lukes Hospital in Maumee, Ohio, was recently enlarged. The hope was that with the enlargement of the mean number of patients per day would be more than 25. A random sample of 15 days revealed the following numbers of patients.

25 27 25 26 28 28 27 24 26 25 29 25 27 24

At the .01 significance level, can we conclude that the mean number of patients per day is more than 25? Estimate the p-value and interpret it.