SOLUTION: A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 6 inches
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Question 1192758: A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 6 inches. A random sample of 26 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.
I've tried several times, but my answers were wrong even while using the stats program.
previous answers: .0664 and .4668, I've just recent tried again and got the answer .6628
please help Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! z=difference from the mean/sd/sqrt(n)
=+/-0.5*sqrt(26)/6
=+/-0.425
0.3291 is the probability.
the sd is sqrt (26)/6=0.8498
Now treat it as a regular z test.
