Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 2.3, Problem 50E
Consider the study described in the previous exercise. Explain why “taking two separate random samples” has the same benefits as random assignment to the two treatments in this experiment.
The Pew Research Center conducted a study of gender bias. The report “Men or Women: Who is the Better Leader? A Paradox in Public Attitudes” (pewsocialtrends.org, August 28, 2008) describes how the study was conducted:
In the experiment, two separate random samples of more than 1000 registered voters were asked to read a profile sent to them online of a hypothetical candidate for U.S. Congress in their district. One random sample of 1161 respondents read a profile of Ann Clark, described as a lawyer, a churchgoer, a member of the local Chamber of Commerce, an environmentalist and a member of the same party as the survey respondent. They were then asked what they liked and didn’t like about her, whether they considered her qualified and whether they were inclined to vote for her. There was no indication that this was a survey about gender or gender bias. A second random sample of 1139 registered voters was asked to read a profile of Andrew Clark, who-except for his gender-was identical in every way to Ann Clark. These respondents were then asked the same questions.
- a. What are the two treatments in this experiment?
- b. What are the response variables in this experiment?
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Students have asked these similar questions
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.
1. If a firm spends more on advertising, is it likely to increase
sales? Data on annual sales (in $100,000s) and advertising
expenditures (in $10,000s) were collected for 20 firms in order
to estimate the model Sales = Po + B₁Advertising + ε. A portion
of the regression results is shown in the accompanying table.
Intercept
Advertising
Standard
Coefficients
Error
t Stat
p-value
-7.42
1.46
-5.09
7.66E-05
0.42
0.05
8.70
7.26E-08
a. Interpret the estimated slope coefficient.
b. What is the sample regression equation?
C.
Predict the sales for a firm that spends $500,000
annually on advertising.
Chapter 2 Solutions
Introduction To Statistics And Data Analysis
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