Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounce

Question

Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly 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 Ha: < 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 ounces with a standard deviation of s = 0.24 ounces. Suppose we were not sure if the distribution of net weights were Normal. In which of the following circumstances would we not be safe using a t procedure in this problem? A boxplot of the data shows the presence of a large outlier. The mean and median of the data are nearly equal. A histogram of the data is moderately skewed. The sample standard deviation is large. Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly 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 Ha: < 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 ounces with a standard deviation of s = 0.24 ounces. Suppose we were not sure if the distribution of net weights were Normal. In which of the following circumstances would we not be safe using a t procedure in this problem? A boxplot of the data shows the presence of a large outlier. The mean and median of the data are nearly equal. A histogram of the data is moderately skewed. The sample standard deviation is large.

Explanation / Answer

In which of the following circumstances would we not be safe using a t procedure in this problem?

Ans:A box plot of the data shows the presence of a large oulier

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