Elementary Statistics: A Step By Step Approach
9th Edition
ISBN: 9780073534985
Author: Allan Bluman
Publisher: McGraw-Hill Science/Engineering/Math
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Chapter 11.1, Problem 1AC
Skittles Color Distribution
M&M/Mars, the makers of Skittles candies, states that the flavor blend is 20% for each flavor. Skittles is a combination of lemon, lime, orange, strawberry, and grape flavored candies. The following data list the results of four randomly selected bags of Skittles and their flavor blends. Use the data to answer the questions.
- 1. Are the variables quantitative or qualitative?
- 2. What type of test can be used to compare the observed values to the
expected values ? - 3. Compute a chi-square test on the total values.
- 4. What hypotheses should you use?
- 5. What are the degrees of freedom for the test? What is the critical value?
- 6. What is your conclusion?
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12. A sociologist hypothesizes that the crime rate is higher in areas
with higher poverty rate and lower median income. She col-
lects data on the crime rate (crimes per 100,000 residents),
the poverty rate (in %), and the median income (in $1,000s)
from 41 New England cities. A portion of the regression results
is shown in the following table.
Standard
Coefficients
error
t stat
p-value
Intercept
-301.62
549.71
-0.55 0.5864
Poverty
53.16
14.22
3.74 0.0006
Income
4.95
8.26
0.60 0.5526
a.
b.
Are the signs as expected on the slope coefficients?
Predict the crime rate in an area with a poverty rate of
20% and a median income of $50,000.
3. Using data from 50 work
2. The owner of several used-car dealerships believes that the
selling price of a used car can best be predicted using the car's
age. He uses data on the recent selling price (in $) and age of
20 used sedans to estimate Price = Po + B₁Age + ε. A portion
of the regression results is shown in the accompanying table.
Standard
Coefficients
Intercept
21187.94
Error
733.42
t Stat p-value
28.89 1.56E-16
Age
-1208.25
128.95 -9.37
2.41E-08
a. What is the estimate for B₁? Interpret this value.
b. What is the sample regression equation?
C. Predict the selling price of a 5-year-old sedan.
ian income of $50,000.
erty rate of
13. Using data from 50 workers, a researcher estimates Wage =
Bo+B,Education + B₂Experience + B3Age+e, where Wage
is the hourly wage rate and Education, Experience, and Age
are the years of higher education, the years of experience, and
the age of the worker, respectively. A portion of the regression
results is shown in the following table. ni ogolloo bash
1
Standard
Coefficients error
t stat p-value
Intercept
7.87
4.09
1.93
0.0603
Education
1.44
0.34
4.24 0.0001
Experience
0.45
0.14
3.16
0.0028
Age
-0.01
0.08 -0.14 0.8920
a. Interpret the estimated coefficients for Education and
Experience.
b. Predict the hourly wage rate for a 30-year-old worker
with four years of higher education and three years of
experience.
Chapter 11 Solutions
Elementary Statistics: A Step By Step Approach
Ch. 11.1 - Skittles Color Distribution MM/Mars, the makers of...Ch. 11.1 - How does the goodness-of-fit test differ from the...Ch. 11.1 - How are the degrees of freedom computed for the...Ch. 11.1 - How are the expected values computed for the...Ch. 11.1 - When the expected frequency is less than 5 for a...Ch. 11.1 - Prob. 5ECh. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - For Exercises 5 through 18, perform these steps....
Ch. 11.1 - Prob. 10ECh. 11.1 - Prob. 11ECh. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - Prob. 16ECh. 11.1 - Prob. 17ECh. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - Tossing Coins Three coins are tossed 72 times, and...Ch. 11.1 - Prob. 20ECCh. 11.2 - Satellite Dishes in Restricted Areas The Senate is...Ch. 11.2 - Prob. 1ECh. 11.2 - How are the degrees of freedom computed for the...Ch. 11.2 - Generally, how would the null and alternative...Ch. 11.2 - What is the name of the table used in the...Ch. 11.2 - How are the expected values computed for each cell...Ch. 11.2 - How are the null and alternative hypotheses stated...Ch. 11.2 - Prob. 7ECh. 11.2 - Prob. 8ECh. 11.2 - Prob. 9ECh. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - Prob. 13ECh. 11.2 - Prob. 14ECh. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - Prob. 17ECh. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - Prob. 21ECh. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - Prob. 25ECh. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - Prob. 27ECh. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - Prob. 29ECh. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECCh. 11.2 - Prob. 33ECCh. 11.2 - When the chi-square test value is significant and...Ch. 11 - For Exercises 1 through 10, follow these steps. a....Ch. 11 - Prob. 11.1.2RECh. 11 - Prob. 11.1.3RECh. 11 - Prob. 11.1.4RECh. 11 - Prob. 11.2.5RECh. 11 - Prob. 11.2.6RECh. 11 - Prob. 11.2.7RECh. 11 - Prob. 11.2.8RECh. 11 - The Data Bunk is located in Appendix B, or on the...Ch. 11 - Prob. 2DACh. 11 - Prob. 3DACh. 11 - Prob. 1CQCh. 11 - Determine whether each statement is true or false....Ch. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 6CQCh. 11 - Complete the following statements with the best...Ch. 11 - Prob. 8CQCh. 11 - Prob. 9CQCh. 11 - Prob. 10CQCh. 11 - Prob. 11CQCh. 11 - Prob. 12CQCh. 11 - Prob. 13CQCh. 11 - Prob. 14CQCh. 11 - Prob. 15CQCh. 11 - Prob. 16CQCh. 11 - Prob. 17CQCh. 11 - Prob. 18CQCh. 11 - Prob. 19CQCh. 11 - Prob. 1CTCCh. 11 - Prob. 2CTC
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