[2 marks] 0 3 ID: MST.FET.HT.CMHT.02.0020A Painadol is a well trusted, popular p

Question

[2 marks] 0 3 ID: MST.FET.HT.CMHT.02.0020A Painadol is a well trusted, popular pain-killer used by millions throughout the country. Recently an epidemic of headaches has hit the nation and the manufacturers of Painadol 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 Painadol tablets to relieve pain is 29 minutes and the standard deviation is 5 minutes Painadol The manufacturers would like to construct a hypothesis test for the mean time (H) taken for Painadene tablets to relieve pain assuming the same population standard deviation (o) as the Painadol tablets. A random sample of 36 people with headaches tried the new Painadene tablets and the mean time taken to relieve the pain was calculated as 28.13 minutes. The hypotheses that will be used by the manufacturers are H0: 29 and HA: 29 You may find this standard normal table useful throughout the following questions a) Calculate the test statistic (z) that corresponds to the sample and hypotheses. Give your answer as a decimal to 3 decimal places b) Using the test statistic for Panadol's hypothesis test and a level of significance of a = 0.1, Painadol should the null hypothesis

Explanation / Answer

Sol:

z=sample mean-pop mean/pop stddev/sqrt( n)

=(28.13-29)/(5/sqrt(36))

z=-1.044

Solutionb:

in R type below code to get p value..with rnorm function ull get p

2*pnorm(-1.044,,mean=0,sd=1)

p=0.2964854

p>0.05

Fail to reject H0

painadol should not reject H0

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