Suppose x has a distribution with μ = 84 and σ = 15. (a) If random...

Suppose x has a distribution with μ = 84 and σ = 15.

(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 = 84 and σ_x = 0.9. Yes, the x distribution is normal with mean μ_x = 84 and σ_x = 3.75.Yes, the x distribution is normal with mean μ_x = 84 and σ_x = 15.

(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 = 84 and σ_x = 0.9.Yes, the x distribution is normal with mean μ_x = 84 and σ_x = 3.75. No, the sample size is too small.Yes, the x distribution is normal with mean μ_x = 84 and σ_x = 15.

Find P(80 ≤ x ≤ 85). (Round your answer to four decimal places.)

Expert Solution

Given that the random variable X has mean 84 and standard deviations 15

orchestra answered 2 years ago

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