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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 litre 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-litre bottles is 0.05 liter. A random sample of one hundred 2 liter bottles selected from this bottling plant indicate a sample mean of 1.99 liters.

a. At the 0.05 level of significance, is there evidence that the 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?

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