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Suppose x has a distribution with μ = 23 and σ = 18. (a) If a random...

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Statistics

Suppose x has a distribution with μ = 23 andσ = 18.

(a) If a random sample of size n = 42 is drawn, findμx, σxand P(23 ≤ x ≤ 25). (Roundσx to two decimal places and theprobability to four decimal places.)

μx =
σx =
P(23 ≤ x ≤ 25) =


(b) If a random sample of size n = 63 is drawn, findμx, σxand P(23 ≤ x ≤ 25). (Roundσx to two decimal places and theprobability to four decimal places.)

μx =
σx =
P(23 ≤ x ≤ 25) =


(c) Why should you expect the probability of part (b) to be higherthan that of part (a)? (Hint: Consider the standarddeviations in parts (a) and (b).)
The standard deviation of part (b) is  ---Select---smaller than larger than the same as part (a) because ofthe  ---Select--- larger smaller same sample size.Therefore, the distribution about μxis  ---Select--- wider narrower the same .

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