Question: The inspection division of the Lee County Weights and Measures Department is interested in determining whether the proper amount of soft drink has been placed in 2-liter bottles at the local bottling plant of a large nationally known soft-drink company. The bottling plant has informed the inspection division that the standard deviation for 2-liter bottles is 0.05 liter. A random sample of 100 2-liter bottles selected from this bottling plant indicates a sample mean of 1.99 liters.
a. At the 0.05 level of significance, is there evidence that the population mean amount in the bottles is different from 2.0 liters?
b. Compute the p-value and interpret its meaning.
c. Construct a 95% confidence interval estimate of the population mean amount in the bottles.
d. Compare the results of (a) and (c). What conclusions do you reach?