A) The length of trout in a lake follows a normal distribution with mean length of...
A) The length of trout in a lake follows a normal distribution with mean length of 16 inches and standard deviation of 1.5 inches. What is the probability that the length of a single fish is between 13 and 19 inches?
B) What is the probability that this or a more extreme sample mean can be drawn from this population?
C) Your friend claims that he caught 36 trout from this lake and their average length was 18 inches. Do you believe him? Explain.
Homework Answers
A)
Here we have
The z-score for X = 13 is
The z-score for X = 19 is
The probability that the length of a single fish is between 13 and 19 inches is
b)
Here sample size and sample mean is needed.
c)
The z-score for 
is
The z-score 8 is unusual so it seems that your claim is not correct.
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