Graph χ 2 densities with 10, 40 and 80 df by using the applet comparison of gamma density functions .

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Answer 1

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 7.2, Problem 22E

a.

To determine

Graph χ2 densities with 10, 40 and 80 df by using the applet comparison of gamma density functions.

b.

To determine

Give the observation about the shapes of these density functions.

Give the most symmetric density function.

c.

To determine

Give the comparison of the mean and standard deviation of the approximating normal distribution and the mean and standard deviation of the χ2 random variable Y.

d.

To determine

Does the statement “if the number of degrees of freedom is large, the χ2 distribution can be approximated with a normal distribution” surprised or not.

Give the reason.

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I just need to know why this is wrong below: What is the test statistic W? W=5 (incorrect) and What is the p-value of this test? (p-value < 0.001-- incorrect) Use the Wilcoxon signed rank test to test the hypothesis that the median number of pages in the statistics books in the library from which the sample was taken is 400. A sample of 12 statistics books have the following numbers of pages pages 127 217 486 132 397 297 396 327 292 256 358 272 What is the sum of the negative ranks (W-)? 75 What is the sum of the positive ranks (W+)? 5What type of test is this? two tailedWhat is the test statistic W? 5 These are the critical values for a 1-tailed Wilcoxon Signed Rank test for n=12 Alpha Level 0.001 0.005 0.01 0.025 0.05 0.1 0.2 Critical Value 75 70 68 64 60 56 50 What is the p-value for this test? p-value < 0.001

Answer 2

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 7.2, Problem 22E

a.

To determine

Graph χ2 densities with 10, 40 and 80 df by using the applet comparison of gamma density functions.

b.

To determine

Give the observation about the shapes of these density functions.

Give the most symmetric density function.

c.

To determine

Give the comparison of the mean and standard deviation of the approximating normal distribution and the mean and standard deviation of the χ2 random variable Y.

d.

To determine

Does the statement “if the number of degrees of freedom is large, the χ2 distribution can be approximated with a normal distribution” surprised or not.

Give the reason.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 7.2, Problem 22E

a.

To determine

Graph χ2 densities with 10, 40 and 80 df by using the applet comparison of gamma density functions.

b.

To determine

Give the observation about the shapes of these density functions.

Give the most symmetric density function.

c.

To determine

Give the comparison of the mean and standard deviation of the approximating normal distribution and the mean and standard deviation of the χ2 random variable Y.

d.

To determine

Does the statement “if the number of degrees of freedom is large, the χ2 distribution can be approximated with a normal distribution” surprised or not.

Give the reason.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 7.2, Problem 22E

a.

To determine

Graph χ2 densities with 10, 40 and 80 df by using the applet comparison of gamma density functions.

b.

To determine

Give the observation about the shapes of these density functions.

Give the most symmetric density function.

c.

To determine

Give the comparison of the mean and standard deviation of the approximating normal distribution and the mean and standard deviation of the χ2 random variable Y.

d.

To determine

Does the statement “if the number of degrees of freedom is large, the χ2 distribution can be approximated with a normal distribution” surprised or not.

Give the reason.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 7.2, Problem 22E

a.

To determine

Graph χ2 densities with 10, 40 and 80 df by using the applet comparison of gamma density functions.

b.

To determine

Give the observation about the shapes of these density functions.

Give the most symmetric density function.

c.

To determine

Give the comparison of the mean and standard deviation of the approximating normal distribution and the mean and standard deviation of the χ2 random variable Y.

d.

To determine

Does the statement “if the number of degrees of freedom is large, the χ2 distribution can be approximated with a normal distribution” surprised or not.

Give the reason.

Answer 6

Chapter 7.2, Problem 22E

a.

To determine

Graph χ2 densities with 10, 40 and 80 df by using the applet comparison of gamma density functions.

Answer 7

Chapter 7.2, Problem 22E

a.

To determine

Graph χ2 densities with 10, 40 and 80 df by using the applet comparison of gamma density functions.

Answer 8

b.

To determine

Give the observation about the shapes of these density functions.

Give the most symmetric density function.

Answer 9

b.

To determine

Give the observation about the shapes of these density functions.

Give the most symmetric density function.

Answer 10

c.

To determine

Give the comparison of the mean and standard deviation of the approximating normal distribution and the mean and standard deviation of the χ2 random variable Y.

Answer 11

c.

To determine

Give the comparison of the mean and standard deviation of the approximating normal distribution and the mean and standard deviation of the χ2 random variable Y.

Answer 12

d.

To determine

Does the statement “if the number of degrees of freedom is large, the χ2 distribution can be approximated with a normal distribution” surprised or not.

Give the reason.

Answer 13

d.

To determine

Does the statement “if the number of degrees of freedom is large, the χ2 distribution can be approximated with a normal distribution” surprised or not.

Give the reason.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 7.2 - Refer to Example 7.2. The amount of fill dispensed...Ch. 7.2 - Refer to Exercise 7.9. Assume now that the amount...Ch. 7.2 - A forester studying the effects of fertilization...Ch. 7.2 - Suppose the forester in Exercise 7.11 would like...Ch. 7.2 - The Environmental Protection Agency is concerned...Ch. 7.2 - If in Exercise 7.13 we want the sample mean to...Ch. 7.2 - Suppose that X1, X2,Xm and Y1, Y2,Yn are...Ch. 7.2 - Referring to Exercise 7.13, suppose that the...Ch. 7.2 - Applet Exercise Refer to Example 7.4. Use the...Ch. 7.2 - Applet Exercise Refer to Example 7.5. If 2 = 1 and...

Graph χ 2 densities with 10, 40 and 80 df by using the applet comparison of gamma density functions .

Solution Summary: The author explains how to obtain the graph using APPLET: Choose comparison of gamma density functions under Applets.

Graph χ2 densities with 10, 40 and 80 df by using the applet comparison of gamma density functions.

Give the observation about the shapes of these density functions.

Give the most symmetric density function.

Give the comparison of the mean and standard deviation of the approximating normal distribution and the mean and standard deviation of the χ2 random variable Y.

Does the statement “if the number of degrees of freedom is large, the χ2 distribution can be approximated with a normal distribution” surprised or not.

Give the reason.

Want to see the full answer?

Chapter 7 Solutions

Graph χ 2 densities with 10, 40 and 80 df by using the applet comparison of gamma density functions .

Solution Summary: The author explains how to obtain the graph using APPLET: Choose comparison of gamma density functions under Applets.

Graph χ2 densities with 10, 40 and 80 df by using the applet comparison of gamma density functions.

Give the observation about the shapes of these density functions. Give the most symmetric density function.

Give the comparison of the mean and standard deviation of the approximating normal distribution and the mean and standard deviation of the χ2 random variable Y.

Does the statement “if the number of degrees of freedom is large, the χ2 distribution can be approximated with a normal distribution” surprised or not. Give the reason.

Want to see the full answer?

Chapter 7 Solutions

Give the observation about the shapes of these density functions.

Give the most symmetric density function.

Does the statement “if the number of degrees of freedom is large, the χ2 distribution can be approximated with a normal distribution” surprised or not.

Give the reason.