Suppose x has a distribution with u = 12 and o = 7. (a) If a random sample of size n = 45 is drawn, find uy, ox and P(12 < x < 14). (Round , to two decimal places and the probability to four decimal places.) 阪= Ox = P(12 < x< 14) = (b) If a random sample of size n = 60 is drawn, find ux, o y and P(12

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Suppose x has a distribution with u = 12 and o = 7.
(a) If a random sample of size n = 45 is drawn, find uy, ox and P(12 < x < 14). (Round , to two decimal places and the probability to four decimal places.)
阪=
Ox =
P(12 < x< 14) =
(b) If a random sample of size n = 60 is drawn, find ux, o y and P(12 <x< 14). (Round o z to two decimal places and the probability to four decimal places.)
阪=
ox =
P(12 < xs 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--
part (a) because of the
-Select--- v sample size. Therefore, the distribution about ug is
--Select--
Transcribed Image Text:Suppose x has a distribution with u = 12 and o = 7. (a) If a random sample of size n = 45 is drawn, find uy, ox and P(12 < x < 14). (Round , to two decimal places and the probability to four decimal places.) 阪= Ox = P(12 < x< 14) = (b) If a random sample of size n = 60 is drawn, find ux, o y and P(12 <x< 14). (Round o z to two decimal places and the probability to four decimal places.) 阪= ox = P(12 < xs 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-- part (a) because of the -Select--- v sample size. Therefore, the distribution about ug is --Select--
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