If all the possible random samples of size n = 25 are selected from a population with = 80 and = 10 and

If all the possible random samples of size n = 25 are selected from a population with μ = 80 and σ = 10 and the mean is computed for each sample, then what shape is expected for the distribution of sample means?

a. The sample means tend to form a normal-shaped distribution whether the population is normal or not.

b. The sample means tend to form a normal distribution only if the population distribution is normal.

c. The sample means tend to be distributed evenly across the scale, forming a rectangular-shaped distribution.

d. There are thousands of possible samples and it is impossible to predict the shape of the distribution.