Suppose we are sampling from a strongly right skewed distribution that has a mean of 85 and a standard deviation of 12.

Which of the following statements about the sampling distribution of the sample mean in this scenario are true?There may be more than one correct statement; check all that are true.

a)

The sampling distribution of the sample mean has a standard deviation of 12.

b)

The sampling distribution of the sample mean will always be normal.

c)

The sampling distribution of the sample mean will tend toward the normal distribution as the sample size increases.

d)

The sampling distribution of the sample mean has a mean of 85.