Question

The average age of cars owned by residents of a small city is 6 years with a standard deviation of 2.2 years but the distribution is quite skewed. A simple random sample of 400 cars is to be selected, and the sample mean age x bar of these cars is to be computed.

We know the random variable x bar has approximately a normal distributuion because of

a. the law of large numbers

b. the central limit theorem

c. simpson's rule

d. the fact that probabilities are true only in the long run

Answer 1

As per the central limit theorem, the distribution of x bar will be approximately normal if the sample size is large.

Hence,

Option B is correct.