Question

In: Statistics and Probability

Suppose x has a distribution with μ = 35 and σ = 14. (a) If random...

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.)

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