Question

Suppose x has a distribution with μ = 12 and σ = 8. (a) If a...

Suppose x has a distribution with μ = 12 and σ = 8.

(a) If a random sample of size n = 34 is drawn, find μx, σx and P(12 ≤ x ≤ 14). (Round σx to two decimal places and the probability to four decimal places.)

μx =
σx =
P(12 ≤ x ≤ 14) =


(b) If a random sample of size n = 58 is drawn, find μx, σx and P(12 ≤ x ≤ 14). (Round σx to two decimal places and the probability to four decimal places.)

μx =
σx =
P(12 ≤ x ≤ 14) =


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

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