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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (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?
-------------
t(7.6) = (7.6-10)/[6/sqrt(4)] = -0.8
---
t(13.6) = (13.6-10)/[6/sqrt(4)] = 1.2
----
P(7.6< xbar < 13.6) = P(-0.8 < t < 1.2 when df = 3) = 0.6000
===============================================================
Cheers,
Stan H.
============