Bags of a certain brand of tortilla chips claim to have a net weight of 140 grams. Net weights actually vary slightly from bag to bag and are Normally distributed with mean μ. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses

H0: μ = 140, Ha: μ

Question

Bags of a certain brand of tortilla chips claim to have a net weight of 140 grams. Net weights actually vary slightly from bag to bag and are Normally distributed with mean μ. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses 
 
 H0: μ = 140, Ha: μ < 140. 
 
 To do this, a sample of 16 bags of this brand of tortilla chips is selected at random and determines the sample mean to be 138.8 grams and the sample standard deviation to be 2.4 grams. Suppose we were not sure if the distribution of net weights was Normal. In which of the following circumstances would we not be safe using a t procedure in this problem?

Accepted Answer

A box plot of the data has a large outlier.

Answer

A histogram of the data shows moderate skewness.

Answer

The mean and median of the data are nearly equal.

Answer

The sample standard deviation is large.

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