1. The data in Drink.xlsx represent the amount of soft drink filled in a sample of 50 2-liter bottles. Assume that the amount of soft drink filled is normally distributed and the population standard deviation is unknown.

a. At the 0.05 level of significance, is there evidence that the mean amount of soft drink filled is different from 2.0 liters? Use the critical value approach. Identify the appropriate test to use, explain why you use that test, and interpret your results.

b. (10 points) Determine the p-value and interpret its meaning.

2. A BOA branch located in a commercial district of a city has the business objective of developing an improved process for serving customers during the noon-to-1:00 pm lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the number of minutes that elapses from when the customer enters the line to when he or she reaches the teller window. Data are collected from a random sample of 15 customers. Suppose a Chase branch located in a residential area is also concerned with the same business objective. Data are collected from a random sample of 15 customers and stored in Bank Waiting Time.xlsx.

a. Is there evidence of a difference in the variability of the waiting time between the two branches (use ? = 0.05)? Identify the appropriate test to use, explain why you use that test, and interpret your results.

b. Is there any evidence of a difference in the mean waiting time between the two branches? Identify the appropriate test to use, explain why you use that test, and interpret your results.