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 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 = 14, Ha: μ < 14. To do this, he selects 16 bags of this brand at random and determines the net weight of each. He finds the sample mean to be = 13.88 and the sample standard deviation to be s = 0.24. Reference: Ref 7-2 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? Question 6 options: The mean and median of the data are nearly equal. A histogram of the data shows moderate skewness. A stemplot of the data has a large outlier. The sample standard deviation is large.

Answer 1

Note : Allowed to solve one question per post.

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 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 = 14, Ha: μ < 14. To do this, he selects 16 bags of this brand at random and determines the net weight of each. He finds the sample mean to be = 13.88 and the sample standard deviation to be s = 0.24

There is sufficient evidence to support the representative of a consumer advocate that the mean net weight is less than advertised