In: Statistics and Probability
Suppose x has a distribution with μ = 35 and σ = 14.
(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 μx = 35 and σx = 0.9.No, the sample size is too small. Yes, the x distribution is normal with mean μx = 35 and σx = 3.5.Yes, the x distribution is normal with mean μx = 35 and σx = 14.
(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 μx = 35 and σx = 3.5.Yes, the x distribution is normal with mean μx = 35 and σx = 14. No, the sample size is too small.Yes, the x distribution is normal with mean μx = 35 and σx = 0.9.
Find P(31 ≤ x ≤ 36). (Round your answer to four
decimal places.)