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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
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
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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?
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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