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Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Textbook Question
Chapter 9.1, Problem 1TY
A director of alumni affairs at a small college wants to determine whether there is a linear relationship between the number of years alumni have been out of school and their annual contributions (in thousands of dollars). The data are shown in the table below. Display the data in a
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Students have asked these similar questions
To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow:
Twin Pair
1
2
3
4
5
6
School A
169
157
115
99
119
113
School B
123
157
112
99
121
122
Twin Pair
7
8
9
10
11
12
School A
120
121
124
145
138
117
School B
153
90
124
140
142
102
Suppose a sign test for matched pairs with a 1% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school…
A horse trainer teaches horses to jump by using two methods of instruction. Horses being taught by method A have a lead horse that accompanies each jump. Horses being taught by method B have no lead horse. The table shows the number of training sessions required before each horse performed the jumps properly.
Method A
25
23
39
29
37
20
Method B
41
21
46
42
24
44
Method A
45
35
27
31
34
49
Method B
26
43
47
32
40
Use a rank-sum test with a5% level of significance to test the claim that there is no difference between the training sessions distributions. If the value of the sample test statistic R, the rank-sum, is 150, calculate the P-value. Round your answer to four decimal places.
A data processing company has a training program for new salespeople. After completing the training program, each trainee is ranked by his or her instructor. After a year of sales, the same class of trainees is again ranked by a company supervisor according to net value of the contracts they have acquired for the company. The results for a random sample of 11 salespeople trained in the last year follow, where x is rank in training class and y is rank in sales after 1 year. Lower ranks mean higher standing in class and higher net sales.
Person
1
2
3
4
5
6
x rank
8
11
2
4
5
3
y rank
7
10
1
3
2
4
Person
7
8
9
10
11
x rank
7
9
10
1
6
y rank
8
11
9
6
5
Using a 1% level of significance, test the claim that the relation between x and y is monotone (either increasing or decreasing). Verify that the Spearman rank correlation coefficient . This implies that the P-value lies between 0.002 and 0.01. State…
Chapter 9 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 9.1 - A director of alumni affairs at a small college...Ch. 9.1 - A researcher conducts a study to determine whether...Ch. 9.1 - Consider the data on page 469 on the salaries and...Ch. 9.1 - Calculate the correlation coefficient for the...Ch. 9.1 - Use technology to calculate the correlation...Ch. 9.1 - In Try It Yourself 4, you calculated the...Ch. 9.1 - In Try It Yourself 5, you calculated the...Ch. 9.1 - Two variables have a positive linear correlation....Ch. 9.1 - Describe the range of values for the correlation...Ch. 9.1 - What does the sample correlation coefficient r...
Ch. 9.1 - Give examples of two variables that have perfect...Ch. 9.1 - Explain how to determine whether a sample...Ch. 9.1 - Discuss the difference between r and p.Ch. 9.1 - What are the null and alternate hypotheses for a...Ch. 9.1 - In your own words, what does it mean to say...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - In Exercises 13 and 14, identify the explanatory...Ch. 9.1 - In Exercises 13 and 14, identify the explanatory...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - In Exercise 23, add data for a child who is 6...Ch. 9.1 - In Exercise 24, remove the data for the girl who...Ch. 9.1 - In Exercise 25, remove the data for the...Ch. 9.1 - In Exercise 26, add data for an international...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - Interchanging x and y In Exercise 26, let the time...Ch. 9.1 - Generate a new data set. Using your knowledge of...Ch. 9.1 - Describe how to create a data set with a value of...Ch. 9.1 - Describe how to create a data set with a value of...Ch. 9.1 - Try to create a data set with a value of r that is...Ch. 9.2 - Find the equation of the regression line for the...Ch. 9.2 - Use technology to find the equation of the...Ch. 9.2 - The regression equation for the Old Faithful data...Ch. 9.2 - What is a residual? Explain when a residual is...Ch. 9.2 - Two variables have a positive linear correlation....Ch. 9.2 - Explain how to predict y-values using the equation...Ch. 9.2 - For a set of data and a corresponding regression...Ch. 9.2 - In order to predict y-values using the equation of...Ch. 9.2 - Why is it not appropriate to use a regression line...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Interchanging X and y In Exercises 31 and 32,...Ch. 9.2 - Interchanging X and y In Exercises 31 and 32,...Ch. 9.2 - In Exercises 33 and 34, (a) find the equation of...Ch. 9.2 - In Exercises 33 and 34, (a) find the equation of...Ch. 9.2 - In Exercises 35 and 36, (a) construct a scatter...Ch. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Prob. 43ECh. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - Prob. 48ECh. 9.2 - Prob. 1ACh. 9.2 - Prob. 2ACh. 9.2 - Prob. 3ACh. 9.2 - Prob. 4ACh. 9.3 - The correlation coefficient for the Old Faithful...Ch. 9.3 - Prob. 2TYCh. 9.3 - Using the results of Example 2, construct a 95%...Ch. 9.3 - Graphical Analysis In Exercises 13, use the...Ch. 9.3 - Graphical Analysis In Exercises 13, use the...Ch. 9.3 - Graphical Analysis In Exercises 13, use the...Ch. 9.3 - The coefficient of determination r2 is the ratio...Ch. 9.3 - What is the coefficient of determination for two...Ch. 9.3 - Two variables have a bivariate normal...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - STEM Employment and Mean Wage The table shows the...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Fund Assets The table shows the total assets (in...Ch. 9.3 - New-Vehicle Sales The table shows the numbers of...Ch. 9.3 - New-Vehicle Sales The table shows the numbers of...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Prob. 37ECh. 9.3 - In Exercises 37 and 38, construct the indicated...Ch. 9.4 - A statistics professor wants to determine how...Ch. 9.4 - Use the regression equation found in Try It...Ch. 9.4 - Predicting y-Values In Exercises 14, use the...Ch. 9.4 - Predicting y-Values In Exercises 14, use the...Ch. 9.4 - Prob. 3ECh. 9.4 - Predicting y-Values In Exercises 14, use the...Ch. 9.4 - Finding a Multiple Regression Equation In...Ch. 9.4 - Finding a Multiple Regression Equation In...Ch. 9.4 - In Exercises 7 and 8, calculate r2adi and...Ch. 9.4 - In Exercises 7 and 8, calculate r2adi and...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - Prob. 9.1.5RECh. 9 - Prob. 9.1.6RECh. 9 - Prob. 9.1.7RECh. 9 - Prob. 9.1.8RECh. 9 - In Exercises 912, find the equation of the...Ch. 9 - Prob. 9.2.10RECh. 9 - In Exercises 912, find the equation of the...Ch. 9 - Prob. 9.2.12RECh. 9 - In Exercises 1316, use the value of the...Ch. 9 - Prob. 9.3.14RECh. 9 - Prob. 9.3.15RECh. 9 - Prob. 9.3.16RECh. 9 - Prob. 9.3.17RECh. 9 - Prob. 9.3.18RECh. 9 - Prob. 9.3.19RECh. 9 - Prob. 9.3.20RECh. 9 - Prob. 9.3.21RECh. 9 - In Exercises 1924, construct the indicated...Ch. 9 - Prob. 9.3.23RECh. 9 - Prob. 9.3.24RECh. 9 - Prob. 9.4.25RECh. 9 - Prob. 9.4.26RECh. 9 - Prob. 9.4.27RECh. 9 - Prob. 9.4.28RECh. 9 - Prob. 1CQCh. 9 - For Exercises 18, use the data in the table, which...Ch. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - For Exercises 18, use the data in the table, which...Ch. 9 - Prob. 9CQCh. 9 - Net Sales The equation used to predict the net...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - Analyzing the Data (a) The data in the table show...Ch. 9 - Making Predictions Construct a 95% prediction...Ch. 9 - Prob. 1TCh. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - Prob. 4TCh. 9 - Prob. 5TCh. 9 - Use technology to find the multiple regression...Ch. 9 - Prob. 7T
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