The length of a trout in a lake is known to have a highly skewed population dist

Question

The length of a trout in a lake is known to have a highly skewed population distribution with a mean of 10.2 inches and a standard deviation of 1.4 inches. A mistake was made in reporting the number of fish sampled. There were actually 40 random fish sampled rather than 4. The sampling distribution for the sample mean of 40 fish will be. ...

A) most likely skewed since the sample size is small and the population is not normal

B) normally distributed with a mean of 10.2 and a SD of .221

C) normally distributed with a mean of 10.2 and a SD of 1.4

D) highly skewed with a mean of 10.2 and a SD of 1.4

Explanation / Answer

= 10.2

= 1.4

n = 40

mean of the sampling distribution = 10.2

standard error of the sampling distribution = / sqrt(n) = 1.4 / sqrt(40) = 0.221

So, Corret option is Option-B) normally distributed with a mean of 10.2 and a SD of .221

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