SOLUTION: 27. Film critics gave the film Basic Statistics: The Movie an average rating of 8.1 (on a scale of 0-10). The standard deviation is 0.7. You drew a random sample of n = 56 from all

Question 1039365: 27. Film critics gave the film Basic Statistics: The Movie an average rating of 8.1 (on a scale of 0-10). The standard deviation is 0.7. You drew a random sample of n = 56 from all film critics and asked them to rate the film Boyhood with a number. What is the probability that the average rating in the sample is greater than 8.0?
� 14%
� 44%
� 86%
� 56%

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Film critics gave the film Basic Statistics: The Movie an average rating of 8.1 (on a scale of 0-10). The standard deviation is 0.7. You drew a random sample of n = 56 from all film critics and asked them to rate the film Boyhood with a number. What is the probability that the average rating in the sample is greater than 8.0?
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z(8) = (8-8.1)/[0.7/sqrt(56)] = -1.0690
P(x-bar > 8) = P(z > -1.0690) = normalcdf(-1.0690,100) = 86%
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Cheers,
Stan H.
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� 14%
� 44%
� 86%
� 56%
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