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 14 randomly selected seven-day cruises was 81,842 bottles with a sample standard deviation of 4,533bottles. 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.)

Explanation / Answer

n = 14

X bar = 81842

S = 4533

T score for 80% confidence interval = t0.1,13 = 1.35

Confidence interval = (X bar + t0.1,13 * s / sqrt(n))

= (81842 + 1.35 * 4533 / sqrt(14))

= 81842 + 1636

= (80206, 83478)

Lower limit = 80206

Upper limit = 83478

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