To identify the type of test of hypothesis

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Answer 1

Question

Chapter 9, Problem 11RE

a)

To determine

To identify the type of test of hypothesis

b)

To determine

To state null and alternative hypotheses

c)

To determine

To find test statistic

d)

To determine

To find p-value

e)

To determine

To justify whether to reject null hypothesis at a = 0.05

e)

To determine

To justify whether to reject null hypothesis at a = 0.01

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West Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1000 people (Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff. Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year. Excel File: data05-19.xls 10 20 f(x) .05 .10 11 30 40 50 60 .10 .20 .35 .20 a. Is this probability distribution valid? Yes Explain. greater than or equal to 0 f(x) Σf(x) equal to 1 b. What is the probability MCC will obtain more than 30 new clients (to 2 decimals)? c. What is the probability MCC will obtain fewer than 20 new clients (to 2 decimals)? d. Compute the expected value and variance of x. Expected value Variance clients per year squared clients per year

Reconsider the patient satisfaction data in Table 1. Fit a multiple regression model using both patient age and severity as the regressors. (a) Test for significance of regression. (b) Test for the individual contribution of the two regressors. Are both regressor variables needed in the model? (c) Has adding severity to the model improved the quality of the model fit? Explain your answer.

The output voltage of a power supply is assumed to be normally distributed. Sixteen observations taken at random on voltage are as follows: 10.35, 9.30, 10.00, 9.96, 11.65, 12.00, 11.25, 9.58, 11.54, 9.95, 10.28, 8.37, 10.44, 9.25, 9.38, and 10.85. (a) Test the hypothesis that the mean voltage equals 12 V against a two-sided alternative using a = 0.05. (b) Construct a 95% two-sided confidence interval on μ. (c) Test the hypothesis that σ² = 11 using α = 0.05. (d) Construct a 95% two-sided confidence interval on σ. (e) Construct a 95% upper confidence interval on σ. (f) Does the assumption of normality seem reasonable for the output voltage?

Answer 2

Question

Chapter 9, Problem 11RE

a)

To determine

To identify the type of test of hypothesis

b)

To determine

To state null and alternative hypotheses

c)

To determine

To find test statistic

d)

To determine

To find p-value

e)

To determine

To justify whether to reject null hypothesis at a = 0.05

e)

To determine

To justify whether to reject null hypothesis at a = 0.01

Expert Solution & Answer

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Answer 3

Question

Chapter 9, Problem 11RE

a)

To determine

To identify the type of test of hypothesis

b)

To determine

To state null and alternative hypotheses

c)

To determine

To find test statistic

d)

To determine

To find p-value

e)

To determine

To justify whether to reject null hypothesis at a = 0.05

e)

To determine

To justify whether to reject null hypothesis at a = 0.01

Expert Solution & Answer

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See solution

Answer 4

Question

Chapter 9, Problem 11RE

a)

To determine

To identify the type of test of hypothesis

b)

To determine

To state null and alternative hypotheses

c)

To determine

To find test statistic

d)

To determine

To find p-value

e)

To determine

To justify whether to reject null hypothesis at a = 0.05

e)

To determine

To justify whether to reject null hypothesis at a = 0.01

Expert Solution & Answer

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Answer 5

Chapter 9, Problem 11RE

a)

To determine

To identify the type of test of hypothesis

b)

To determine

To state null and alternative hypotheses

c)

To determine

To find test statistic

d)

To determine

To find p-value

e)

To determine

To justify whether to reject null hypothesis at a = 0.05

e)

To determine

To justify whether to reject null hypothesis at a = 0.01

Answer 6

Chapter 9, Problem 11RE

a)

To determine

To identify the type of test of hypothesis

Answer 7

Chapter 9, Problem 11RE

a)

To determine

To identify the type of test of hypothesis

Answer 8

b)

To determine

To state null and alternative hypotheses

Answer 9

b)

To determine

To state null and alternative hypotheses

Answer 10

c)

To determine

To find test statistic

Answer 11

c)

To determine

To find test statistic

Answer 12

d)

To determine

To find p-value

Answer 13

d)

To determine

To find p-value

Answer 14

e)

To determine

To justify whether to reject null hypothesis at a = 0.05

Answer 15

e)

To determine

To justify whether to reject null hypothesis at a = 0.05

Answer 16

e)

To determine

To justify whether to reject null hypothesis at a = 0.01

Answer 17

e)

To determine

To justify whether to reject null hypothesis at a = 0.01

Answer 18

Expert Solution & Answer

Answer 19

Expert Solution & Answer

Answer 20

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Answer 21

To identify the type of test of hypothesis

Solution Summary: The author explains the z-test for one sample proportion and the null hypothesis.

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To identify the type of test of hypothesis

To state null and alternative hypotheses

To find test statistic

To find p-value

To justify whether to reject null hypothesis at a = 0.05

To justify whether to reject null hypothesis at a = 0.01

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Chapter 9 Solutions