Suppose heights of female (cm) is normally distributed as N(µ = 165, o² = 7.52) where the mean µ = 165 and the standard deviation o = 7.5. Do the followings with R: a. What proportion of female is taller than 170cm? 6. What proportion of heights of female is in the interval (165 – 1.96 * 7.5, 165 + 1.96 * 7.5)? c. Create a plot of probability density function (pdf) of the normal distribution.
Suppose heights of female (cm) is normally distributed as N(µ = 165, o² = 7.52) where the mean µ = 165 and the standard deviation o = 7.5. Do the followings with R: a. What proportion of female is taller than 170cm? 6. What proportion of heights of female is in the interval (165 – 1.96 * 7.5, 165 + 1.96 * 7.5)? c. Create a plot of probability density function (pdf) of the normal distribution.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
Related questions
Question
just a b and c please thank you so much
![Q2.
Suppose heights of female (cm) is normally distributed as
N(u = 165, o2 = 7.52)
where the mean µ =
165 and the standard deviation o = 7.5. Do the followings with R:
a. What proportion of female is taller than 170cm?
b. What proportion of heights of female is in the interval
(165 – 1.96 * 7.5, 165 + 1.96 * 7.5)?
c. Create a plot of probability density function (pdf) of the normal distribution.
d. Create a plot of cdf of the normal distribution.
e. Draw a random sample of size 1000 from the distribution. Plot a histogram and calculate the sample
mean and the sample variance. The sample mean and the sample variance are estimators of what
values?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36c16d30-8080-41a6-9b28-34917665af49%2F95e31c7f-cba0-41c7-aaee-f70fb7d9040f%2Fiv2pn_processed.png&w=3840&q=75)
Transcribed Image Text:Q2.
Suppose heights of female (cm) is normally distributed as
N(u = 165, o2 = 7.52)
where the mean µ =
165 and the standard deviation o = 7.5. Do the followings with R:
a. What proportion of female is taller than 170cm?
b. What proportion of heights of female is in the interval
(165 – 1.96 * 7.5, 165 + 1.96 * 7.5)?
c. Create a plot of probability density function (pdf) of the normal distribution.
d. Create a plot of cdf of the normal distribution.
e. Draw a random sample of size 1000 from the distribution. Plot a histogram and calculate the sample
mean and the sample variance. The sample mean and the sample variance are estimators of what
values?
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