24) The number of violent crimes committed in a day possesses a distribution wit

Question

24) The number of violent crimes committed in a day possesses a distribution with a mean of 3.5 24) crimes per day and a standard deviation of 4 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) approximately normal with mean = 3.5 and standard deviation = 4 B) shape unknown with mean 3.5 and standard deviation-4 C) approximately normal with mean = 3.5 and standard deviation =0.4 D) shape unknown with mean-3.5 and standard deviation 0.4

Explanation / Answer

For the sample of 100, mean = population mean =3.5

sample standard deviation = populationstandard deviaatin/sqrt(sample size) = 4/sqrt(100) = 0.4

C) approximately normal with mean=3.5 and standard deviation=0.4

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