In this question, you will explore the shape of standardized scores of a uniform distribution versus a normal distribution. (a) First, you will explore with the uniform distribution. Generate 1000 data points from Uniform(0, 1), and assign these 1000 data points to an R object called simulateUniform. Attach your code. (b) Standardized all data in simulate Uniform by subtracting the sample mean from each data point and then dividing it by the sample standard deviation. Assign the standardized data to an R object called standardizedUniform. Attach code. (c) Compute the mean and standard deviation of the standardized data in standardized Uniform. What are the mean and standard deviation? Attach code. (d) Draw a histogram of the standardized data in standardizedUniform. Describe the shape of the histogram. Does it look normal? Why? Attach the code and the histogram. (e) Now, you will explore with the normal distribution. Generate 1000 data points from N(10,5), and assign these 1000 data points to an R object called simulate Normal. Attach your code. (f) Standardized all data in simulate Normal by subtracting the sample mean from each data point and then dividing it by the sample standard deviation. Assign the standardized data to an R. object called standardizedNormal. Attach code. (g) Compute the mean and standard deviation of the standardized data in standardizedNormal. What are the mean and standard deviation? Attach code.
In this question, you will explore the shape of standardized scores of a uniform distribution versus a normal distribution. (a) First, you will explore with the uniform distribution. Generate 1000 data points from Uniform(0, 1), and assign these 1000 data points to an R object called simulateUniform. Attach your code. (b) Standardized all data in simulate Uniform by subtracting the sample mean from each data point and then dividing it by the sample standard deviation. Assign the standardized data to an R object called standardizedUniform. Attach code. (c) Compute the mean and standard deviation of the standardized data in standardized Uniform. What are the mean and standard deviation? Attach code. (d) Draw a histogram of the standardized data in standardizedUniform. Describe the shape of the histogram. Does it look normal? Why? Attach the code and the histogram. (e) Now, you will explore with the normal distribution. Generate 1000 data points from N(10,5), and assign these 1000 data points to an R object called simulate Normal. Attach your code. (f) Standardized all data in simulate Normal by subtracting the sample mean from each data point and then dividing it by the sample standard deviation. Assign the standardized data to an R. object called standardizedNormal. Attach code. (g) Compute the mean and standard deviation of the standardized data in standardizedNormal. What are the mean and standard deviation? Attach code.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Transcribed Image Text:In this question, you will explore the shape of standardized scores of a uniform
distribution versus a normal distribution.
(a) First, you will explore with the uniform distribution. Generate 1000 data points
from Uniform(0, 1), and assign these 1000 data points to an R. object called
simulateUniform. Attach your code.
(b) Standardized all data in simulate Uniform by subtracting the sample mean from
each data point and then dividing it by the sample standard deviation. Assign the
standardized data to an R object called standardizedUniform. Attach code.
(c) Compute the mean and standard deviation of the standardized data in
standardizedUniform. What are the mean and standard deviation? Attach code.
(d) Draw a histogram of the standardized data in standardizedUniform. Describe the
shape of the histogram. Does it look normal? Why? Attach the code and the
histogram.
(e) Now, you will explore with the normal distribution. Generate 1000 data points from
N(10,5), and assign these 1000 data points to an R object called simulateNormal.
Attach your code.
(f) Standardized all data in simulate Normal by subtracting the sample mean from
each data point and then dividing it by the sample standard deviation. Assign the
standardized data to an R object called standardizedNormal. Attach code.
(g) Compute the mean and standard deviation of the standardized data in
standardizedNormal. What are the mean and standard deviation? Attach code.
(h) Draw a histogram of the standardized data in standardizedNormal. Describe the
shape of the histogram. Does it look normal? Why? Attach the code and the
histogram.
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