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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

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?

This question was asked on May 10, 2010.

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