Question

In: Statistics and Probability

A recent study reported that monthly consumption of beer in is 1.7 gallons per person. A...

A recent study reported that monthly consumption of beer in is 1.7 gallons per person. A random sample of 36 adults was selected. Using a standard deviation of 0.5 gallons per month per​ person, what is the probability that the sample mean was between 1.6 and 1.8 gallons per month per​ person?

A. 0.5596

B. 0.9082

C. 0.4960

D. 0.7698

Solutions

Expert Solution

The probability is calculated by Z score as the sample size is 36>30

Z at 1.6

and Z at 1.8

Hence

The probability is calculated usind table shown below

=0.8849-0.1151

D. =0.7698


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