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A powder diet is tested on 49 people, and a liquid diet is tested on 36...

  1. A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. The population standard deviations are two pounds and three pounds, respectively. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet. What formula would you use to solve this problem? State the null and alternative hypotheses.
Math   Statistics-And-Probability   
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Answer #1

Let 1 be mean of powder diet and 2 be the mean of liquid diet.  

The null and alternative hypothesis are

H0: 1 >= 2

Ha : 1 < 2

We use formula for test statistics as

T = (1 - 2) / (Sp * sqrt (1/n1 + 1/ n2))

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