SOLUTION: A weight loss program claims that on average people lose 10
pounds in 7 days. A researcher believes the extent of the weight
loss is exaggerated and decides to test this claim
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Question 918680: A weight loss program claims that on average people lose 10
pounds in 7 days. A researcher believes the extent of the weight
loss is exaggerated and decides to test this claim with a group of 14
individuals. After 7 days, the average weight loss was 8.6 pounds
with a sample standard deviation of 2.4 pounds.
a)Is this a directional or non-directional test? Explain
b) At a 5% significance level, is the claim of the weight loss program
supported?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
H0: mu = 10
H1: mu < 10 (since claim is weight loss is less)
Thus, Using a one tailed T Distribution
test statistic: t(8.6) = -1.4/(2.4/sqrt(14) = -2.18
critical value: invT(.05, 13) = -1.77
-2.18 < -.177
b) At a 5% significance level, the claim of the weight loss program is supported
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