Bags of a Certain Brand of Tortilla Chips Claim to Have

Multiple Choice

Bags of a certain brand of tortilla chips claim to have a net weight of 14 oz.Net weights slightly vary from bag to bag.Assume net weights are Normally distributed.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:  = 14 versus H_a:  < 14.To do this,he selects 16 bags of tortilla chips of this brand at random and determines the net weight of each.He finds a sample mean of 13.88 oz with a standard deviation of s = 0.24 oz.Suppose we were not sure if the distribution of net weights were Normal.In which of the following circumstances would the t procedure not be robust in this problem?

A) The mean and median of the data are nearly equal.
B) A histogram of the data is moderately skewed.
C) A boxplot of the data shows the presence of a large outlier.
D) The sample standard deviation is large.