Question

The number of violent crimes committed in a day possesses a distribution with a mean of...

The number of violent crimes committed in a day possesses a distribution with a mean of 2.2 crimes per day and a standard deviation of 6 crimes per day. A random sample of 100 days was observed, and the mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample mean.

A)

shape unknown with mean = 2.2 and standard deviation = 6

B)

shape unknown with mean = 2.2 and standard deviation = 0.6

C)

approximately normal with mean = 2.2 and standard deviation = 6

D)

approximately normal with mean = 2.2 and standard deviation = 0.6
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Answer #1

By the central limit theorem:

The distribution will be approximately normal with mean = 2.2 and standard deviation = = 0.6

Option D is correct.

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