The management of a soft drink company is interested in determining whether the proper amount of soft
drink has been placed in 2-liter bottles at the local bottling plant. The bottling plant has informed the management that the population standard deviation for 2-liter bottles is 0.05 liter. A random sample of one hundred 2-liter bottles selected from this bottling plant indicates a sample mean of 1.978 liters.
a. Use a one-sample hypothesis test to decide whether the mean amount in the bottles is different from 2.0 liters. Use a 0.05 level of significance.
b. Construct a 95% confidence interval estimate of the population mean amount in the bottles.
c. Compare the results of parts (a) and (b). What conclusions do you reach?