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Suppose x has a distribution with μ = 45 and σ = 13. (a) If random...

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Statistics

Suppose x has a distribution with μ = 45 and σ = 13.

(a) If random samples of size n = 16 are selected, can we sayanything about the x distribution of sample means?

Yes, the x distribution is normal with mean μ x = 45 and σ x =13.

Yes, the x distribution is normal with mean μ x = 45 and σ x =3.25.

Yes, the x distribution is normal with mean μ x = 45 and σ x =0.8.

No, the sample size is too small.

(b) If the original x distribution is normal, can we sayanything 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 = 45 and σ x =0.8.

Yes, the x distribution is normal with mean μ x = 45 and σ x =3.25.

Yes, the x distribution is normal with mean μ x = 45 and σ x =13.

(c) Find P(41 ≤ x ≤ 46). (Round your answer to four decimalplaces.)

Answer & Explanation Solved by verified expert
3.7 Ratings (429 Votes)
Solution Given thatmean 45standard deviation 13n    See Answer
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