SOLUTION: The weights of the fish in a certain lake are normally distributed with a mean of 10 lb and a standard deviation of 6. If 4 fish are randomly selected, what is the probability that

Question 327128: The weights of the fish in a certain lake are normally distributed with a mean of 10 lb and a standard deviation of 6. If 4 fish are randomly selected, what is the probability that the mean weight will be between 7.6 and 13.6 lb?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The weights of the fish in a certain lake are normally distributed with a mean of 10 lb and a standard deviation of 6.
If 4 fish are randomly selected, what is the probability that the mean weight will be between 7.6 and 13.6 lb?
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t(7.6) = (7.6-10)/[6/sqrt(4)] = -0.8
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t(13.6) = (13.6-10)/[6/sqrt(4)] = 1.2
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P(7.6< xbar < 13.6) = P(-0.8 < t < 1.2 when df = 3) = 0.6000
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Cheers,
Stan H.
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