Suppose x has a distribution with μ = 82 and σ = 9.
(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 = 82 and σx = 0.6.No, the sample size is too small. Yes, the x distribution is normal with mean μx = 82 and σx = 2.25.Yes, the x distribution is normal with mean μx = 82 and σx = 9.
(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 = 82 and σx = 2.25.Yes, the x distribution is normal with mean μx = 82 and σx = 9. No, the sample size is too small.Yes, the x distribution is normal with mean μx = 82 and σx = 0.6.
Find P(78 ≤ x ≤ 83). (Round your answer to four
decimal places.)
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