2 -9 points Baidistat3 13 E.000 My Notes The gypsy moth is a serious threat to o

Question

2 -9 points Baidistat3 13 E.000 My Notes The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.9, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 1.3. What are the mean and standard deviation of the average number of moths per trap x in 60 traps? (Round your mean to two decimal places and your standard deviation to three decimal places) mean standard deviation moths moths What is the shape of this sampling distribution? The sampling distribution should be skewed to the left The sampling distribution should be skewed to the right The sampling distribution should be approximately Normal.

Explanation / Answer

according to the central limit theorem

the mean of the sample would be xbar= 0.9

and the standard deviation of the sample is

s/sqrt(n) , where n is the sample size

1.3/sqrt(60) = 0.1678

as the sample size is greater than 30 , then the shape of the sample should be same as that of the population , the sampling sidistribution should be skewed to the right

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