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Just need help on (d), thank you!

2. In the mid-19m century, Sir Francis Galton demonstrated, through extensive data collection, that many human
characteristics such as height and IQ are distributed throughout the entire population in accordance with the normal
distribution. Galton recorded the heights of 8585 men in Great Britain. This forms a normal distribution with a mean
of 67 inches and standard deviation of 2.5 inches.
x=random vamiable that
U = elx)= 67 enles h. of
g = SD(x) =2.5
g z=varlx) =6.28
(a) Graph this normal distribution and label the x-axis.
men.
x~ N(67. 2.52
=67
els
mean u =
SD =0 2.S.
n=8585
e 00
70
(b) What proportion of these men were between 66 and 68 inches tall?
75
(e6ex<68
66-67
2.5
し8-67
ーu
ģ 2.4)
2.5
ne2)dnid is emo 000 bne 000E s<<. eedi vilidadog srnimotd (o)
31@84
(c) What fraction of the adult male population in Great Britain was within one standard deviation of the mean
height? [Use the normal diştribution function in Excel, not the Empirical Rule]
-
-P(-1
Xーu
668269
A8.088.8
(d) What height corresponds to the 95th percentile in the Galton study? oho a
olow worl
nomun bns2qtiong owl oeortlo doso ni anoinoqorg boroedo or
TAo BLonbat muq
2oulsv sesdi 251lomixon
Transcribed Image Text:2. In the mid-19m century, Sir Francis Galton demonstrated, through extensive data collection, that many human characteristics such as height and IQ are distributed throughout the entire population in accordance with the normal distribution. Galton recorded the heights of 8585 men in Great Britain. This forms a normal distribution with a mean of 67 inches and standard deviation of 2.5 inches. x=random vamiable that U = elx)= 67 enles h. of g = SD(x) =2.5 g z=varlx) =6.28 (a) Graph this normal distribution and label the x-axis. men. x~ N(67. 2.52 =67 els mean u = SD =0 2.S. n=8585 e 00 70 (b) What proportion of these men were between 66 and 68 inches tall? 75 (e6ex<68 66-67 2.5 し8-67 ーu ģ 2.4) 2.5 ne2)dnid is emo 000 bne 000E s<<. eedi vilidadog srnimotd (o) 31@84 (c) What fraction of the adult male population in Great Britain was within one standard deviation of the mean height? [Use the normal diştribution function in Excel, not the Empirical Rule] - -P(-1 Xーu 668269 A8.088.8 (d) What height corresponds to the 95th percentile in the Galton study? oho a olow worl nomun bns2qtiong owl oeortlo doso ni anoinoqorg boroedo or TAo BLonbat muq 2oulsv sesdi 251lomixon
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