A cruise company would like to estimate the average beer consumption to plan its

Question

A cruise company would like to estimate the average beer consumption to plan its beer inventory levels on future? seven-day cruises.? (The ship certainly? doesn't want to run out of beer in the middle of the? ocean!) The average beer consumption over 22 randomly selected? seven-day cruises was 81,686 bottles with a sample standard deviation of 4,521bottles. Complete parts a and b below.
a. Construct an 80?% confidence interval to estimate the average beer consumption per cruise.
The 80?% confidence interval to estimate the average beer consumption per cruise is from a lower limit of __ bottles to an upper limit of __ bottles.
?(Round to the nearest whole? numbers.)
b. What assumptions need to be made about this? population?
A. The only assumption needed is that the population follows the? Student's t-distribution.
B. The only assumption needed is that the population distribution is skewed to one side.
C. The only assumption needed is that the population size is larger than 30.
D. The only assumption needed is that the population follows the normal probability distribution.

Explanation / Answer

Standard error of the mean = SEM = S/?N = 963.88

t(?, N-1) = 1.323

Confidence interval = m +/- (t(?, N-1)*SEM)

Mean = 81686

Lower bound: 80410.79

Upper bound: 82961.21

D. The only assumption needed is that the population follows the normal probability distribution.?

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