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Hypothesis Testing of Mean

The post anaesthesia care area (recovery room) at St. Luke's Hospital in Pflugerville, Ontario, was recently enlarged. The hope was that with the enlargement the mean number of patients per day would be more than 25. A random sample of 15 days from an approximately normal population revealed the following numbers of patients:

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

a) What is the null hypothesis?
b) What is the alternative hypothesis?
c) What test will you use to test the alternative hypothesis?
d) Find the p-value and interpret its meaning.
e) At the ? = 0.05 significance level, can we conclude that the mean number of patients per day is more than 25? From Statdisk 95% C/I 25.273 < mean< 26.916
f) Is this a right-tail test, left-tail test, or two-tail test?

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Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.