The inspection division of the LCC company 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 population mean of 1.99 liter

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 population mean has been 1.97 liters, what is your answer to (a)?