Vital Statistics: Heights of Men The heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard a ation 3 inches (based on information from Statistical Abstract of the Uni States, 112th edition). (a) What is the probability that an 18-year-old man selected at random is between 67 and 69 inches tall? (b) If a random sample of nine 18-year-old men is selected, what is the probability that the mean height x is between 67 and 69 inches?

College Algebra
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Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
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4.| Vital Statistics: Heights of Men The heights of 18-year-old men are
approximately normally distributed, with mean 68 inches and standard de
ation 3 inches (based on information from Statistical Abstract of the Unit-
States, 112th edition).
(a) What is the probability that an 18-year-old man selected at random is
between 67 and 69 inches tall?
(b) If a random sample of nine 18-year-old men is selected, what is the
probability that the mean height x is between 67 and 69 inches?
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Transcribed Image Text:suspect that the loader fnaU Siippct 4.| Vital Statistics: Heights of Men The heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard de ation 3 inches (based on information from Statistical Abstract of the Unit- States, 112th edition). (a) What is the probability that an 18-year-old man selected at random is between 67 and 69 inches tall? (b) If a random sample of nine 18-year-old men is selected, what is the probability that the mean height x is between 67 and 69 inches? S 2020-11-04 151.pdf ..pdf Aa w tv 9 MacBook Air DII F10 80 F7 F6 FS F4 F2 F3 @ %23 24 9 7 2 3 4 R Y W F G J K C V N M ommand comman * C0 I
(c) Why should you expect the probability of part (b) to be higher t
HLub) If a random sample of size n = 64 is drawn, find u, 0z, and
P(15 <is 17).
lb) If a random sample of size n =
P(15 <is 17).
atondard devint
Transcribed Image Text:(c) Why should you expect the probability of part (b) to be higher t HLub) If a random sample of size n = 64 is drawn, find u, 0z, and P(15 <is 17). lb) If a random sample of size n = P(15 <is 17). atondard devint
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