40 Perfect SAT scores. It is possible to score higher than 1600 on the combined mathematics and reading por- tions of the SAT, but scores 1600 and above are reported as 1600. The distribution of SAT scores (combining mathematics and reading) in 2014 was close to Normal with mean 1010 and standard deviation 218. What pro- portion of SAT scores for these two parts were reported as 1600? (That is, what proportion of SAT scores were actually higher than 1600?)

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Author:Amos Gilat
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Can you please help with 3.40 perfect SAT scores? Thanks
-Binet IQ
hat scores
the Nor-
eviation
to keep
en took
ould be
er time
dhood
rior."
erior
per-
me
is
ir
N
:
What's your perce
score such as the SAT or a child's height
ally give the percentile as well as the actual value of the
variable. The percentile is just the cumulative propor-
tion stated as a percent: the percent of all values of the
variable that were lower than this one. The upper arm
approximately
lengths of females in the United States are
Normal with mean 35.8 cm and standard deviation 2.1
cm, and those for males are approximately Normal with
mean 39.1 cm and standard deviation 2.3 cm.
3.39
(a) Cecile, a 73-year-old female in the United States,
has an upper arm length of 33.9 cm. What is her
percentile?
3.40
(b) Measure your upper arm length to the nearest tenth
of a centimeter, referring to Exercise 3.5 (page 84)
for the measurement instructions. What is your
arm length in centimeters? What is your percentile?
Perfect SAT scores. It is possible to score higher than
1600 on the combined mathematics and reading por-
tions of the SAT, but scores 1600 and above are reported
as 1600. The distribution of SAT scores (combining
mathematics and reading) in 2014 was close to Normal
with mean 1010 and standard deviation 218. What pro-
portion of SAT scores for these two parts were reported
as 1600? (That is, what proportion of SAT scores were
actually higher than 1600?)
3.41 Heights of men and women. The heights of women
aged 20-29 follow approximately the N(64.2, 2.8) dis-
tribution. Men the same age have heights distributed
as N(69.4, 3.0). What percent of men aged 20-29 are
taller than the mean height of women aged 20-29?
3.42 Weights aren't normal. The heights of people of the
same sex and similar ages follow a Normal distribu-
tion reasonably closely. Weights, on the nthou 1
not Normally distributed
T1
Transcribed Image Text:-Binet IQ hat scores the Nor- eviation to keep en took ould be er time dhood rior." erior per- me is ir N : What's your perce score such as the SAT or a child's height ally give the percentile as well as the actual value of the variable. The percentile is just the cumulative propor- tion stated as a percent: the percent of all values of the variable that were lower than this one. The upper arm approximately lengths of females in the United States are Normal with mean 35.8 cm and standard deviation 2.1 cm, and those for males are approximately Normal with mean 39.1 cm and standard deviation 2.3 cm. 3.39 (a) Cecile, a 73-year-old female in the United States, has an upper arm length of 33.9 cm. What is her percentile? 3.40 (b) Measure your upper arm length to the nearest tenth of a centimeter, referring to Exercise 3.5 (page 84) for the measurement instructions. What is your arm length in centimeters? What is your percentile? Perfect SAT scores. It is possible to score higher than 1600 on the combined mathematics and reading por- tions of the SAT, but scores 1600 and above are reported as 1600. The distribution of SAT scores (combining mathematics and reading) in 2014 was close to Normal with mean 1010 and standard deviation 218. What pro- portion of SAT scores for these two parts were reported as 1600? (That is, what proportion of SAT scores were actually higher than 1600?) 3.41 Heights of men and women. The heights of women aged 20-29 follow approximately the N(64.2, 2.8) dis- tribution. Men the same age have heights distributed as N(69.4, 3.0). What percent of men aged 20-29 are taller than the mean height of women aged 20-29? 3.42 Weights aren't normal. The heights of people of the same sex and similar ages follow a Normal distribu- tion reasonably closely. Weights, on the nthou 1 not Normally distributed T1
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