Question 1056588: A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid
diet yields a higher mean weight loss than the powder diet. The powder diet group had a mean weight loss of 42 pounds
with a standard deviation of 12 pounds. The liquid diet group had a mean weight loss of 45 pounds with a standard deviation
of 14 pounds.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet. The powder diet group had a mean weight loss of 42 pounds
with a standard deviation of 12 pounds. The liquid diet group had a mean weight loss of 45 pounds with a standard deviationof 14 pounds.
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Ho:: u1 - u2 = 0
Ha:: u1 - u2 > 0
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z(42-45)/sqrt[14^2/36 + 12^2/13] = -0.74
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p-value = 2*p(z < -0.74) = 2normalcdf(-100,-0.74) = 2*0.23 = 0.46
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Since the p-value is greater than 5%, fail to reject Ho
The test results support support the conclusion that there is
no difference in mean weight loss.
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Cheers,
Stan H.
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