Question 189953: An advertisement claims that Fasto Stomach Calm will provide relief from indigestion in less than 10 mins. For a test of the claim, 35 individuals were given the the product, and the average time was 9.25 mins, with a standard deviation of 2 mins. Can one conclude, at the 0.05 level of significance that the claim is justified?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An advertisement claims that Fasto Stomach Calm will provide relief from indigestion in less than 10 mins. For a test of the claim, 35 individuals were given the the product, and the average time was 9.25 mins, with a standard deviation of 2 mins. Can one conclude, at the 0.05 level of significance that the claim is justified?
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Ho: u >= 10
Ha: u < 10 (Claim)
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Critical Value for left-tail T-test with df= 34 = -1.691
Test statistic: t(9.25) = (9.25-10)/[2/sqrt(35)] = -2.2185
p-value: P(t<-2.2185) = 0.0166
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Conclusion:
Since the p-value is less than 5%, reject Ho.
The test supports the companies claim.
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Cheers,
Stan H.
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