The number of cars running a red light in a day, at a given intersection, posses

Question

The number of cars running a red light in a day, at a given intersection, possesses a distribution with a mean of 4.2 cars and a standard deviation of 33. The number of cars running the red light was observed on 100 randomly chosen days and the mean number of cars calculated. Describe the sampling distribution of the sample mean.

The number of cars running a red light in a day, at a given intersection, possesses a distribution with a mean of

4.24.2

cars and a standard deviation of

33.

The number of cars running the red light was observed on 100 randomly chosen days and the mean number of cars calculated. Describe the sampling distribution of the sample mean.

A. approximately normal with mean=4.2 and standard deviation=0.3

B. approximately normal with mean=4.2 and standard deviation=3

C. shape unknown with mean=4.2 and standard deviation=3

D. shape unknown with mean=4.2 and standard deviation=0.3

Explanation / Answer

The mean is approximately normal with mean of 4.2. and standard deviation of s/sqrt(N)=3/sqrt(100)=0.3. thus option A is the correct answer

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