The graph represents the atmospheric pressure, in pounds per square inch, as a function of altitude in miles above sea level. Wh
ich statements accurately reflect this relationship? Select each correct answer.
The atmospheric pressure gets close to 14 lb/ft2 as the altitude continues to increase.
The atmospheric pressure is 14 lb/in2 at sea level.
As the altitude approaches sea level, the atmospheric pressure increases.
As the altitude increases, the atmospheric pressure increases.
The atmospheric pressure gets close to 14 lb/ft2 as the altitude continues to increase.
The atmospheric pressure is 14 lb/in2 at sea level.
As the altitude approaches sea level, the atmospheric pressure increases.
As the altitude increases, the atmospheric pressure increases.
1 answer:
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Answer:
(a) 0.5899
(b) 0.9166
Step-by-step explanation:
Let X be the random variable that represents the height of a woman. Then, X is normally distributed with
= 62.5 in
= 2.2 in
the normal probability density function is given by
, then
(a) = 0.5899
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)
(b) We are seeking where n = 37.
is normally distributed with mean 62.5 in and standard deviation
. So, the probability density function is given by
, and
= 0.9166
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))
You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.