The number of violent crimes committed in a day possesses a distribution with a mean of 2.3 crimes per day and a standard deviation of 2 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.
◦ approximately normal with mean = 2.3 and standard deviation = 0.2
◦ approximately normal with mean = 2.3 and standard deviation = 2
◦ shape unknown with mean = 2.3 and standard deviation = 0.2
◦ shape unknown with mean = 2.3 and standard deviation = 2