Question

6.5-4) Suppose x has a distribution with μ = 39 and σ = 20. (a)If random...

6.5-4) Suppose x has a distribution with μ = 39 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 μx = 39 and σx = 5.

No, the sample size is too small.   

Yes, the x distribution is normal with mean μx = 39 and σx = 1.3.

Yes, the x distribution is normal with mean μx = 39 and σx = 20


(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 = 39 and σx = 20.

No, the sample size is too small.

   Yes, the x distribution is normal with mean μx = 39 and σx = 5.

Yes, the x distribution is normal with mean μx = 39 and σx = 1.3.


b) Find P(35 ≤ x ≤ 40). (Round your answer to four decimal places.)_____________

Homework Answers

Answer #1

Solution: Given that μ = 39 and σ = 20

(a) option A. Yes, the x distribution is normal with mean μx = 39 and σx = 5

(b) option C. Yes, the x distribution is normal with mean μx = 39 and σx = 5

P(35 ≤ x ≤ 40) = 0.3674


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