Question

Suppose x has a distribution with μ = 60 and σ = 17.

(a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means?
No, the sample size is too small.
Yes, the x distribution is normal with mean μ x = 60 and σ x = 4.25.   
 Yes, the x distribution is normal with mean μ x = 60 and σ x = 17
Yes, the x distribution is normal with mean μ x = 60 and σ x = 1.1.

(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 = 60 and σ x = 17. 
Yes, the x distribution is normal with mean μ x = 60 and σ x = 1.1.
Yes, the x distribution is normal with mean μ x = 60 and σ x = 4.25.

(c) Find P(56 ≤ x ≤ 61). (Round your answer to four decimal places.)
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