6.37A study is being planned to evaluate the possible side effects of an anti-inflammatory drug. It is suspected that the drug may lead to an elevation in the blood pressure of users of the drug. A pre- liminary study of two groups of patients, one receiving the drug and the other receiving a placebo, provides the following information on the systolic blood pressure (in mm Hg) of the two groups:Group                                         Mean                  Standard Deviation Placebo                                      129.9                  18.5Anti-inflammatory drug            135.5                  18.7Assume that both groups have systolic blood pressures that have a normal distribution with stand- ard deviations relatively close to the values obtained in the pilot study. Suppose the study plan provides for the same number of patients in the placebo group as in the treatment group. Deter- mine the sample size necessary for an a 5 .05 t test to have a power of .80 to detect an increase of 5 mm Hg in the blood pressure of the treatment group relative to that of the placebo group.

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Asked Feb 26, 2019
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6.37

A study is being planned to evaluate the possible side effects of an anti-inflammatory drug. It is suspected that the drug may lead to an elevation in the blood pressure of users of the drug. A pre- liminary study of two groups of patients, one receiving the drug and the other receiving a placebo, provides the following information on the systolic blood pressure (in mm Hg) of the two groups:

Group                                         Mean                  Standard Deviation 

Placebo                                      129.9                  18.5

Anti-inflammatory drug            135.5                  18.7

Assume that both groups have systolic blood pressures that have a normal distribution with stand- ard deviations relatively close to the values obtained in the pilot study. Suppose the study plan provides for the same number of patients in the placebo group as in the treatment group. Deter- mine the sample size necessary for an a 5 .05 t test to have a power of .80 to detect an increase of 5 mm Hg in the blood pressure of the treatment group relative to that of the placebo group.

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Expert Answer

Step 1

We have to test for the increase of 5mm Hg in the blood pressure of the treatment group, relatively the placebo group. In the given information we observe that the sample sizes are equal.

 

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Step 2

In this case we need to describe whether the differences shows an increase or not. So we will apply one-tailed alternative test in this case.

That is as shown ;

 

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Step 3

Now, since the standard deviations are relatively close so we take the estimated standard d...

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