SOLUTION: The weights of the fish in a certain lake are normally distributed with a mean of 14 lbs and a standard deviation of 5.5 lbs. If 35 fish are randomly selected, what is the proba

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Question 1149470: The weights of the fish in a certain lake are normally distributed with a mean of 14 lbs and a standard deviation of 5.5 lbs.
If 35 fish are randomly selected, what is the probability that the mean weight will be less than 13.2 lbs?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
That z value is(x bar-mean)/sigma/sqrt(n)
z<(13.2-14)/5.5/sqrt(35)
<-.8*sqrt(35)/5.5
<-0.8605
That probability is 0.1948

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