Nutrition labels The nutrition label on a bag of potato chips says that a one ou

Question

Nutrition labels

The nutrition label on a bag of potato chips says that a one ounce (28 gram) serving of potato chips has 130 calories and contains ten grams of fat, with three grams of saturated fat. A random sample of 35 bags yielded a sample mean of 134 calories with a standard deviation of 17 calories. Is there evidence that the nutrition label does not provide an accurate measure of calories in the bags of potato chips? We have verified the independence, sample size, and skew conditions are satisfied.

Explanation / Answer

here std error of mean =std deviation/(n)1/2 =2.874

hence test stat t=(X-mean)/std error =(134-130)/2.874=1.392

for above test stat t and 34 degrees of freedom ; p value =0.1730

whcih is very high and hence we can not reject null hypothesis

therefore there si not sufficient evidence that the nutrition label does not provide an accurate measure of calories in the bags of potato chips

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