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  3. suppose x has a distribution with μ = 22 and Ï

Suppose x has a distribution with μ = 22 and σ = 20. (a) If...

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Statistics

Suppose x has a distribution with μ = 22 and σ = 20. (a) If arandom sample of size n = 37 is drawn, find μx, σ x and P(22 ≤ x ≤24). (Round σx to two decimal places and the probability to fourdecimal places.) μx = σ x = P(22 ≤ x ≤ 24) = (b) If a random sampleof size n = 59 is drawn, find μx, σ x and P(22 ≤ x ≤ 24). (Round σx to two decimal places and the probability to four decimalplaces.) μx = σ x = P(22 ≤ x ≤ 24) = (c) Why should you expect theprobability of part (b) to be higher than that of part (a)? (Hint:Consider the standard deviations in parts (a) and (b).) Thestandard deviation of part (b) is part (a) because of the samplesize. Therefore, the distribution about μx is .

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Solution Given thatmean 22standard deviation 20a n 37 22 n 20 37 329P 22 24 P22 22 329 2422 329 P 0 Z    See Answer
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