Suppose x has a distribution with = 80 and = 10.


(a)

If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means?

Yes, the x distribution is normal with mean x = 80 and x = 2.5.

Yes, the x distribution is normal with mean x = 80 and x = 0.6.

Yes, the x distribution is normal with mean x = 80 and x = 10.

No, the sample size is too small.

(b)

If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16?

Yes, the x distribution is normal with mean x = 80 and x = 2.5.

Yes, the x distribution is normal with mean x = 80 and x = 0.6.

Yes, the x distribution is normal with mean x = 80 and x = 10.

No, the sample size is too small.

C) Find P(77 ≤ x ≤ 81). (Round your answer to four decimal places.)