1. The post anesthesia care area (recovery room) at St. Mary's Hospital in Hackensack, New Jersey, was recently expanded. The hope is that the change would increase the mean number of patients served per day to more than 25. A random sample of fifteen days revealed the following number of patients. 24 28 25 25 26 29 29 27 24 22 24 29 30 24 27 At the 0.05 significance level, can we conclude that the mean number of patients per day is more than 25? a. State the null and alternative hypothesis. b. State the level of significance. c. Which distribution (normal and t) for this problem? EXPLAIN WHY. d. Create a decision rule. Construct the appropriate graph and include the critical value. e. Calculate the test statistic. f. State the conclusion. g. Estimate the p-value. (SHOW ALL WORK FROM TABLE.) Restate the conclusion. h. Include an EXCEL PRINTOUT. HIGHLIGHT ALL RELEVANT CALCULATIONS