The weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 18 . If 15 f ish are randomly selected, what is the probability that the mean weight will be between 16.6 and 21.6 lb?
1 answer:
Answer:
0.3991
Step-by-step explanation:
Given that the weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 18 .
we know that when a sample is taken mean would be the same but std error would vary
when a sample of size 15 is taken we have
Standard error of sample =
the probability that the mean weight will be between 16.6 and 21.6 lb
So we get the required probability as
0.3991
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