Bags of a certain brand of tortilla chips claim to have a net weight of 14 oz. 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 H ₀ : μ = 14, H _a : μ < 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.

1. Determine which of the following statements regarding the decision the representative would make is true:

A. He would not reject H ₀ at a significance level of 0.05

B. He would reject H ₀ at a significance level of 0.05 but not at 0.025

C. He would reject H ₀ at a significance level of 0.025 but not at 0.01

2. 95% confidence interval for the population mean will be:

A. 13.88 +/- 0.1420

B. 13.88 +/- 0.1048

C. 13.88 +/- 0.5144

D. 13.88 +/- 0.1279

3. 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. The mean and median of the data are nearly equal

B. A histogram of the data is moderately skewed

C. A box plot of the data shows the presence of a large outlier