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A television documentary on overeating claimed that Americans are about 10 pounds over-weight on average. To...

A television documentary on overeating claimed that Americans are about 10 pounds over-weight on average. To test this claim, eighteen randomly selected individuals were examined; their average excess weight was found to be 12.4 pounds, and the sample standard deviation was 2.7 pounds. At a significance of 0.01, is there any reason to doubt the validity of the claimed 10-pound value?

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