3) The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches (based on information from Statistical Abstract of the United States, 112th edition). a) What is the probability that an 18-year-old man selected at random is between 67 and 69 notas inches tall?

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Author:Amos Gilat
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3) The heights of 18-year-old men are approximately normally distributed with mean 68 inches
and standard deviation 3 inches (based on information from Statistical Abstract of the United
States, 112th edition).
a) What is the probability that an 18-year-old man selected at random is between 67 and 69 noitas2
inches tall?
b) Suppose a random sample of nine 18-year-old men is selected.
gestion sulav 2 sdt bail (d
i) What is the mean and standard deviation for the sampling distribution of the means?
edit odimas (s
ii) What is the probability that the mean height x is between 67 and 69 inches tall? hurt (3
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Yer ser pignuse in noitadintails
to sięmes mobasy 8 101 lauant od si bluow (b
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bas SV = di dottudmaib seed a szoqquz (
AT 11 is
to soudineb 3, edi soon gaudtyrs yeadw
popola.ons
c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why
oxic to zolan
would you expect this?
hot honnivob bmbaste bus morth od lw *
Transcribed Image Text:3) The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches (based on information from Statistical Abstract of the United States, 112th edition). a) What is the probability that an 18-year-old man selected at random is between 67 and 69 noitas2 inches tall? b) Suppose a random sample of nine 18-year-old men is selected. gestion sulav 2 sdt bail (d i) What is the mean and standard deviation for the sampling distribution of the means? edit odimas (s ii) What is the probability that the mean height x is between 67 and 69 inches tall? hurt (3 stemire a svad of nonuditzib xoci moit Yer ser pignuse in noitadintails to sięmes mobasy 8 101 lauant od si bluow (b nisiqxd sel and cael nsent bas SV = di dottudmaib seed a szoqquz ( AT 11 is to soudineb 3, edi soon gaudtyrs yeadw popola.ons c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why oxic to zolan would you expect this? hot honnivob bmbaste bus morth od lw *
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