Question

7. A quality control specialist for a restaurant chain is assigned the task of checking if 16-oz serving size of soda

actually contains 16 ounces of soda, on average. From past experience, the amount of soda served in a 16 oz serving size is normally distributed with a population standard deviation of 1.2 oz. The specialist takes a random sample of 12 orders of soda served in the 16 oz serving size. The data collected by the quality control specialist is: 14.2, 15.1, 15.8, 15.4, 16.1, 14.9, 15.0, 16.4, 15.9, 14.8, 16.2, 15.8. At 5% significance level, does the 16-oz serving size of soda actually contain 16 ounces of soda, on average?

a. State and describe the appropriate parameter(s).

b. State the hypotheses.

c. State the Type I and Type II errors in context.

d. State and describe the appropriate random variable.

e. State the test statistic and the p-value.

f. Sketch an accurate and fully labeled graph showing the p-value.

g. Make the decision and state the conclusion in the context of the problem.

Answer 1