Suppose x has a distribution with μ = 70 and σ = 9. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means?

Question

Kaliyah Arnold

Mathematics

1 May, 15:29

Suppose x has a distribution with μ = 70 and σ = 9. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means?

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Answers (1)

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Lillie Peterson · Answer 1

No, the sample size is too small.

Yes, the x distribution is normal with mean μ x = 66 and σ x = 1.5.

Yes, the x distribution is normal with mean μ x = 66 and σ x = 6.

Yes, the x distribution is normal with mean μ x = 66 and σ x = 0.4.

(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 μ x = 66 and σ x = 0.4.

Yes, the x distribution is normal with mean μ x = 66 and σ x = 1.5.

No, the sample size is too small.

Yes, the x distribution is normal with mean μ x = 66 and σ x = 6 ...

Find P (62 ≤ x ≤ 67). (Round your answer to four decimal places.)