Suppose x has a distribution with μ = 22 and σ = 20.
(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 μ x = 22 and σ x = 1.3
No, the sample size is too small.
Yes, the x distribution is normal with mean μ x = 22 and σ x = 5
Yes, the x distribution is normal with mean μ x = 22 and σ x = 20.
(b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16?
No, the sample size is too small
Yes, the x distribution is normal with mean μ x = 22 and σ x = 1.3
Yes, the x distribution is normal with mean μ x = 22 and σ x = 20
Yes, the x distribution is normal with mean μ x = 22 and σ x = 5
(c) Find P(18 ≤ x ≤ 23). (Round your answer to four decimal places.)
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