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A new drug designed to reduce fever is being tested for how well it works and fo

ID: 2949544 • Letter: A

Question

A new drug designed to reduce fever is being tested for how well it works and for side effects. Ten patients entering a hospital with a high fever were selected at random. The temperature (in degrees Celsius) was measured, the drug was given, and two hours later the temperature was measured again. The Minitab output is below: Paired T-Test and Cl: Before, After Before After Difference 10 1.590 1.4750.466 N Mean StDev SE Mean 10 39.140 1.0320.326 10 37.550 0.9610.304 T-Test of me an difference 0 (vs > 0) : T-value 3.41 p-value = 0.004 At a 5% level of significance, does it appear that the drug is effective in lowering temperature ue reducing fever)? Note that the assumptions were checked and are all met.

Explanation / Answer

Null and alternative hypothesis is

H0 : It appear that the drug is effective at lowering temperature

H1 :It does not appear that the drug is effective at lowering temperature

Here t = 3.41 and p-value = 0.004

The value of test statistic is 3.41

Degrees of freedom = n -1 = 10 - 1 = 9

p-value = 0.04

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