The owner of a fish market has an assistant who has determined that the weights of rainbow trout are normally distributed,with mean of 3.2 kilograms and standard deviation of 0.8 kilogram.
-What percentage of samples of 4 fish will have sample means between 3.0 and 4.0 kilograms?
A) 67%
B) 29%
C) 84%
D) 16%

Question

Quizplus · Accepted Answer

The correct answer is A because the sample mean will also be normally distributed with a mean of 3.2 kilograms and a standard deviation of 0.8 / sqrt(4) = 0.4 kilograms. The probability of a sample mean between 3.0 and 4.0 kilograms is the area under the normal curve between those two values, which is approximately 67%.

The Owner of a Fish Market Has an Assistant Who