Hypotheses testing question
Panadol is a pain-killer. Recently an epidemic of headaches has hit the nation and the manufacturers of Panadol have created a new, stronger painkiller called Painadene. The manufacturers are interested in testing whether the speed of pain relief is different with Painadene. It is known that the mean time taken by Panadol tablets to relieve pain is 35.1 minutes and the standard deviation is 5 minutes.
The manufacturers would like to construct a hypothesis test for the population mean time taken for Painadene tablets to relieve pain assuming the same population standard deviation as the Panadol tablets. A random sample of 37 people with headaches trialled the new Painadene tablets and the mean time taken to relieve the pain was calculated to be 36.0 minutes.
The manufacturers set up the hypothesis test using a two-tailed alternative.
Calculate the test statistic (z) that corresponds to this situation. Give your answer as a decimal to 2 decimal places.
Part B) Referring to the Panadol and Painadene example , using the test statistic you calculated, a 5% significance level and a two-sided alternative hypothesis, the manufacturers should do which of the following?
a. Reject the alternative hypothesis b. Fail to reject the null hypothesis c. Reject the null hypothesis d. Fail to reject the alternative hypothesis