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A television documentary on overeating claimed that Americans are about 10 pounds overweight on average (μ)....

A television documentary on overeating claimed that Americans are about 10 pounds overweight on average (μ). To test this claim, 18 randomly selected individuals were examined; their average (x̄) excess weight was found to be 12.4 pounds, and the sample standard deviation (s) was 2.7 pounds. At a significance level of 0.01, is there any reason to doubt the validity of the claimed 10-pound value?

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null hypothesis Alternate Hypothesis 10 10 for 0.01 level with two tailed test and n-1-17 degree of freedom, critical value of t- Decision rule 2.898 reject Ho if absolute value of test statistic t>2.898 population mean sample mean sample size sample std deviation 10 12.40 18.00 2.70 μέ standard errror of means sx-s/in= 0.636 test statistic t

as test statistic is in critical region ; we reject null hypothesis and conclude that American are overweight different from 10 pounds on average

we have sufficient evidence to doubt the validity of the claimed 10-pound value

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