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Math · Statistics And Probability
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Suppose x has a distribution with μ = 51 and σ = 5.

(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 = 51 and σx = 5.

Yes, the x distribution is normal with mean μx = 51 and σx = 0.3.    

Yes, the x distribution is normal with mean μx = 51 and σx = 1.25.

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 μx = 51 and σx = 1.25.

No, the sample size is too small.    

Yes, the x distribution is normal with mean μx = 51 and σx = 0.3.

Yes, the x distribution is normal with mean μx = 51 and σx = 5.


Find P(47 ≤ x ≤ 52). (Round your answer to four decimal places.)

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