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: $\mu$ = 14 versus H_a: $\mu$

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: $\mu$ = 14 versus H_a: $\mu$< 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.What is the value of the test statistic?

Quizplus · Accepted Answer

The test statistic can be calculated as:
t = (x̄ - μ) / (s / √n)
where x̄ is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.
Plugging in the values, we get:
t = (13.88 - 14) / (0.24 / √16)
t = -2
Therefore, the value of the test statistic is -2.00.

Bags of a Certain Brand of Tortilla Chips Claim to Have