A random variable is not normally distributed, but it is mound-shaped. It has a mean of 12 and a standard deviation of 2.

If you take a sample of size 15, can you say what the shape of the sampling distribution for the sample mean is? Why?

If the sample size is 15, then you can say the sampling distribution of the sample mean is normally distributed since the sample size is less than 30.

If the sample size is 15, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is less than 30.

If the sample size is 15, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is less than 30.

For a sample of size 15, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary.

x =

x =