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Find population of soft-drink fill is normally distributed

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Question: The inspection division of the Lee County Weights and Measures Department wants to estimate the actual amount of soft drink 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 population standard deviation for 2-liter bottles is 0.05 liter. A random sample of 100 2-liter bottles at this bottling plant indicates a sample mean of 1.99 liters.

a. Construct a 95% confidence interval estimate of the population mean amount of soft drink in each bottle.

b. Must you assume that the population of soft-drink fill is normally distributed? Explain.

c. Explain why a value of 2.02 liters for a single bottle is not unusual, even though it is outside the confidence interval you calculated.

d. Suppose that the sample mean is 1.97 liters. What is your answer to (a)?

Reference no: EM131689416

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