Elementary Statistics: A Step By Step Approach
10th Edition
ISBN: 9781259755330
Author: Allan G. Bluman
Publisher: McGraw-Hill Education
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Chapter 10, Problem 18CQ
a.
To determine
To construct: The
b.
To determine
To compute: The value of the
c.
To determine
To test: The significance of the
d.
To determine
To find: The regression equation for the given data.
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For unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of
months unemployed and the values in the second column show the corresponding number of unemployed persons.
Months
Unemployed
Number
Unemployed
1
1029
2
1686
3
2269
4
2675
5
3487
6
4652
7
4145
8
3587
9
2325
10
1120
Let x be a random variable indicating the number of months a person is unemployed.
a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals).
(x)
f(x)
1
2
3
4
5
6
7
8
9
10
b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution.
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
blank
c. What is the probability that a…
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
x
10
f(x)
.05
20
30
.10
.10
40
.20
50
60
.35
.20
a. Is this probability distribution valid?
- Select your answer-
Explain.
f(x)
Σf(x)
Select your answer
Select your answer
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
For unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of
months unemployed and the values in the second column show the corresponding number of unemployed persons.
Months
Unemployed
Number
Unemployed
1
1029
2
1686
3
2269
4
2675
5
3487
6
4652
7
4145
8
3587
9
2325
10
1120
Let x be a random variable indicating the number of months a person is unemployed.
a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals).
(x)
f(x)
1
2
3
4
5
6
7
8
9
10
b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution.
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
c. What is the probability that a person…
Chapter 10 Solutions
Elementary Statistics: A Step By Step Approach
Ch. 10.1 - Stopping Distances In a study on speed control, it...Ch. 10.1 - What is meant by the statement that two variables...Ch. 10.1 - How is a linear relationship between two variables...Ch. 10.1 - What is the symbol for the sample correlation...Ch. 10.1 - What is the range of values for the correlation...Ch. 10.1 - What is meant when the relationship between the...Ch. 10.1 - Give examples of two variables that are positively...Ch. 10.1 - What is the diagram of the independent and...Ch. 10.1 - What is the name of the correlation coefficient...Ch. 10.1 - What statistical test is used to test the...
Ch. 10.1 - When two variables are correlated, can the...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - Prob. 23ECh. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - For Exercises 11 through 27, perform the following...Ch. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECCh. 10.1 - Prob. 29ECCh. 10.1 - Prob. 30ECCh. 10.2 - Applying the Concepts 102 Stopping Distances...Ch. 10.2 - What two things should be done before one performs...Ch. 10.2 - What are the assumptions for regression analysis?Ch. 10.2 - Prob. 3ECh. 10.2 - What is the symbol for the slope? For the y...Ch. 10.2 - Prob. 5ECh. 10.2 - When all the points fall on the regression line,...Ch. 10.2 - What is the relationship between the sign of the...Ch. 10.2 - As the value of the correlation coefficient...Ch. 10.2 - Prob. 9ECh. 10.2 - When the value of r is not significant, what value...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - Prob. 12ECh. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - Prob. 17ECh. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - For Exercises 11 through 27, use the same data as...Ch. 10.2 - For Exercises 28 through 33, do a complete...Ch. 10.2 - Prob. 29ECh. 10.2 - For Exercises 28 through 33, do a complete...Ch. 10.2 - For Exercises 28 through 33, do a complete...Ch. 10.2 - For Exercises 28 through 33, do a complete...Ch. 10.2 - Prob. 33ECh. 10.2 - For Exercises 34 and 35, do a complete regression...Ch. 10.2 - For Exercises 34 and 35, do a complete regression...Ch. 10.2 - For Exercises 13, 15, and 21 in Section 101, find...Ch. 10.2 - The y intercept value a can also be found by using...Ch. 10.2 - The value of the correlation coefficient can also...Ch. 10.3 - Applying the Concepts 103 Interpreting Simple...Ch. 10.3 - What is meant by the explained variation? How is...Ch. 10.3 - What is meant by the unexplained variation? How is...Ch. 10.3 - What is meant by the total variation? How is it...Ch. 10.3 - Define the coefficient of determination.Ch. 10.3 - How is the coefficient of determination found?Ch. 10.3 - Define the coefficient of nondetermination.Ch. 10.3 - How is the coefficient of nondetermination found?Ch. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - Prob. 10ECh. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Prob. 13ECh. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Compute the standard error of the estimate for...Ch. 10.3 - Compute the standard error of the estimate for...Ch. 10.3 - Compute the standard error of the estimate for...Ch. 10.3 - Prob. 19ECh. 10.3 - For the data in Exercises 14 in Sections 101 and...Ch. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.4 - Applying the Concepts 104 More Math Means More...Ch. 10.4 - Explain the similarities and differences between...Ch. 10.4 - What is the general form of the multiple...Ch. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - How do the values of the individual correlation...Ch. 10.4 - Age, GPA, and Income A researcher has determined...Ch. 10.4 - Nursing Home Satisfaction A researcher found that...Ch. 10.4 - Special Occasion Cakes A pastry chef who...Ch. 10.4 - Aspects of Students Academic Behavior A college...Ch. 10.4 - Age, Cholesterol, and Sodium A medical researcher...Ch. 10.4 - Explain the meaning of the multiple correlation...Ch. 10.4 - What is the range of values R can assume?Ch. 10.4 - Prob. 13ECh. 10.4 - What are the hypotheses used to test the...Ch. 10.4 - What test is used to test the significance of R?Ch. 10.4 - What is the meaning of the adjusted R2? Why is it...Ch. 10 - For Exercises 1 through 7, do a complete...Ch. 10 - For Exercises 1 through 7, do a complete...Ch. 10 - For Exercises 1 through 7, do a complete...Ch. 10 - For Exercises 1 through 7, do a complete...Ch. 10 - For Exercises 1 through 7, do a complete...Ch. 10 - For Exercises 1 through 7, do a complete...Ch. 10 - For Exercises 1 through 7, do a complete...Ch. 10 - For Exercise 4, find the standard error of the...Ch. 10 - Prob. 10.3.9RECh. 10 - Prob. 10.3.10RECh. 10 - Prob. 10.3.11RECh. 10 - Prob. 10.3.12RECh. 10 - (Opt.) A study found a significant relationship...Ch. 10 - Prob. 10.4.14RECh. 10 - Prob. 10.4.15RECh. 10 - Prob. 1CQCh. 10 - Determine whether each statement is true or false....Ch. 10 - Determine whether each statement is true or false....Ch. 10 - Determine whether each statement is true or false....Ch. 10 - Determine whether each statement is true or false....Ch. 10 - Determine whether each statement is true or false....Ch. 10 - Prob. 7CQCh. 10 - Select the best answer. 8. To test the...Ch. 10 - Select the best answer. 9. The test of...Ch. 10 - Prob. 10CQCh. 10 - Prob. 11CQCh. 10 - Prob. 12CQCh. 10 - Complete the following statements with the best...Ch. 10 - Prob. 14CQCh. 10 - Prob. 15CQCh. 10 - Prob. 16CQCh. 10 - Prob. 17CQCh. 10 - Prob. 18CQCh. 10 - Prob. 19CQCh. 10 - Prob. 20CQCh. 10 - Prob. 21CQCh. 10 - Prob. 22CQCh. 10 - Prob. 23CQCh. 10 - For Exercise 20, find the 90% prediction interval...Ch. 10 - Prob. 25CQCh. 10 - Prob. 26CQCh. 10 - (Opt.) Find R when ryx1 = 0.561 and ryx2 = 0.714...Ch. 10 - Prob. 28CQCh. 10 - Prob. 1CTCCh. 10 - Prob. 2CTCCh. 10 - Prob. 3CTCCh. 10 - Prob. 4CTCCh. 10 - Product Sales When the points in a scatter plot...Ch. 10 - Prob. 6CTCCh. 10 - Prob. 7CTCCh. 10 - Product Sales When the points in a scatter plot...Ch. 10 - Prob. 9CTC
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- In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 3 4 or more 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 4 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. Compare it to the expected value of x. The…arrow_forwardIn Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 2 3 4 or more 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. Compare it to the expected value of x. The…arrow_forwardA technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency. Develop a probability distribution for the duration of a service call. Duration of Call x f(x) 1 2 3 4 Which of the following probability distribution graphs accurately represents the data set? Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)? What is the probability a service call will take three hours? A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?arrow_forward
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