Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 11.5, Problem 64E
Use the information given in the previous exercise to construct a 95 % bootstrap confidence
11.63 The Sheboygan (Wisconsin) Fire Department received a report on the potential effects of reductions in the number of firefighters it employs (“Study of Fire Department Causes Controversy,” USA TODAY NETWORK-Wisconsin, December 22, 2016).
In one section of the report, the average working heart rate percentage (the percentage value of the observed maximum heart rate during firefighting drills divided by an age-adjusted maximum heart rate for each firefighter) was reported for the driver of the first-arriving fire engine when only two firefighters (including the driver) were present, and for the driver of the first-arriving fire engine when more than two firefighters (up to five) were present.
The average working heart rate percentages were based on an earlier study, which included data from a sample of six drills using only two firefighters and from a sample of 18 drills using more than two firefighters. For purposes of this exercise, assume that these samples are representative of all drills with two firefighters and all drills with more than two firefighters.
The following data values are consistent with summary statistics given in the paper. Do these data support the claim that the mean average working heart rate percentage for the driver in a two-firefighter team is greater than the mean average working heart rate percentage for the driver in teams containing from three to five firefighters? Use a 0.05 significance level to carry out a randomization test of the given claim. You can make use of the Shiny apps in the collection at statistics.cengage.com/PSO6e/Apps.html.
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Students have asked these similar questions
ons
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
Introduction To Statistics And Data Analysis
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