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) About Me  (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