Essentials of Statistics (6th Edition)
6th Edition
ISBN: 9780134685779
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 8.1, Problem 30BSC
Type I and Type II Errors. In Exercises 29–32, provide statements that identify the type I error and the type II error that correspond to the given claim. (Although conclusions are usually expressed in verbal form, the answers here can be expressed with statements that include symbolic expressions such as p = 0.1.)
30. The proportion of people with blue eyes is equal to 0.35.
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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 8 Solutions
Essentials of Statistics (6th Edition)
Ch. 8.1 - Vitamin C and Aspirin A bottle contains a label...Ch. 8.1 - Estimates and Hypothesis Tests Data Set 3 Body...Ch. 8.1 - Mean Height of Men A formal hypothesis test is to...Ch. 8.1 - Interpreting P-value The Ericsson method is one of...Ch. 8.1 - Identifying H0 and H1. In Exercises 58, do the...Ch. 8.1 - Identifying H0 and H1. In Exercises 58, do the...Ch. 8.1 - Identifying H0 and H1. In Exercises 58, do the...Ch. 8.1 - Identifying H0 and H1. In Exercises 58, do the...Ch. 8.1 - Conclusions. In Exercises 912, refer to the...Ch. 8.1 - Conclusions. In Exercises 912, refer to the...
Ch. 8.1 - Conclusions. In Exercises 912, refer to the...Ch. 8.1 - Conclusions. In Exercises 912, refer to the...Ch. 8.1 - Test Statistics. In Exercises 1316, refer to the...Ch. 8.1 - Test Statistics. In Exercises 1316, refer to the...Ch. 8.1 - Test Statistics. In Exercises 1316, refer to the...Ch. 8.1 - Test Statistics. In Exercises 1316, refer to the...Ch. 8.1 - P-Values. In Exercises 1720, do the following: a....Ch. 8.1 - P-Values. In Exercises 1720, do the following: a....Ch. 8.1 - P-Values. In Exercises 1720, do the following: a....Ch. 8.1 - P-Values. In Exercises 1720, do the following: a....Ch. 8.1 - Critical Values. In Exercises 2124, refer to the...Ch. 8.1 - Critical Values. In Exercises 2124, refer to the...Ch. 8.1 - Critical Values. In Exercises 2124, refer to the...Ch. 8.1 - Critical Values. In Exercises 2124, refer to the...Ch. 8.1 - Final Conclusions. In Exercises 2528, use a...Ch. 8.1 - Final Conclusions. In Exercises 2528, use a...Ch. 8.1 - Final Conclusions. In Exercises 2528, use a...Ch. 8.1 - Final Conclusions. In Exercises 2528, use a...Ch. 8.1 - Type I and Type II Errors. In Exercises 2932,...Ch. 8.1 - Type I and Type II Errors. In Exercises 2932,...Ch. 8.1 - Type I and Type II Errors. In Exercises 2932,...Ch. 8.1 - Type I and Type II Errors. In Exercises 2932,...Ch. 8.1 - Interpreting Power Chantix (varenicline) tablets...Ch. 8.1 - Calculating Power Consider a hypothesis test of...Ch. 8.1 - Finding Sample Size to Achieve Power Researchers...Ch. 8.2 - In Exercises 14, use these results from a USA...Ch. 8.2 - In Exercises 14, use these results from a USA...Ch. 8.2 - Prob. 3BSCCh. 8.2 - In Exercises 14, use these results from a USA...Ch. 8.2 - Using Technology. In Exercises 58, identify the...Ch. 8.2 - Using Technology. In Exercises 58, identify the...Ch. 8.2 - Using Technology. In Exercises 58, identify the...Ch. 8.2 - Using Technology. In Exercises 58, identify the...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Exact Method For each of the three different...Ch. 8.2 - Using Confidence Intervals to Test Hypotheses When...Ch. 8.2 - Power For a hypothesis test with a specified...Ch. 8.3 - Video Games: Checking Requirements Twelve...Ch. 8.3 - df If we are using the sample data from Exercise 1...Ch. 8.3 - t Test Exercise 2 refers to a t test. What is a t...Ch. 8.3 - Confidence Interval Assume that we will use the...Ch. 8.3 - Finding P-values. In Exercises 5-8, either use...Ch. 8.3 - Finding P-values. In Exercises 5-8, either use...Ch. 8.3 - Finding P-values. In Exercises 5-8, either use...Ch. 8.3 - Finding P-values. In Exercises 5-8, either use...Ch. 8.3 - Technology. In Exercises 9-12, test the given...Ch. 8.3 - Technology. In Exercises 9-12, test the given...Ch. 8.3 - Technology. In Exercises 9-12, test the given...Ch. 8.3 - Technology. In Exercises 9-12, test the given...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Hypothesis Test with Known How do the results...Ch. 8.3 - Hypothesis Test with Known How do the results...Ch. 8.3 - Finding Critical t Values When finding critical...Ch. 8.3 - Interpreting Power For the sample data in Example...Ch. 8.4 - Cans of Coke Data Set 26 Cola Weights and Volumes...Ch. 8.4 - Cans of Coke Use the data and the claim given in...Ch. 8.4 - Cans of Coke For the sample data from Exercise 1,...Ch. 8.4 - Cans of Coke: Confidence Interval If we use the...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Body Temperature Example 5 in Section 8-3 involved...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Finding Critical Values of 2 For large numbers of...Ch. 8.4 - Finding Critical Values of 2 Repeat Exercise 19...Ch. 8 - Distributions Using the methods of this chapter,...Ch. 8 - Tails Determine whether the given claim involves a...Ch. 8 - Instagram Poll In a Pew Research Center poll of...Ch. 8 - P-Value Find the P-value in a test of the claim...Ch. 8 - Conclusions True or false: In hypothesis testing,...Ch. 8 - Conclusions True or false: The conclusion of fail...Ch. 8 - Uncertainty True or false: If correct methods of...Ch. 8 - Chi-Square Test In a test of the claim that = 15...Ch. 8 - Robust Explain what is meant by the statements...Ch. 8 - Equivalent Methods Which of the following...Ch. 8 - True/False Characterize each of the following...Ch. 8 - Politics A county clerk in Essex County, New...Ch. 8 - Prob. 3RECh. 8 - Red Blood Cell Count A simple random sample of 40...Ch. 8 - Perception and Reality In a presidential election,...Ch. 8 - BMI for Miss America A claimed trend of thinner...Ch. 8 - BMI for Miss America Use the same BMI indexes...Ch. 8 - Type I Error and Type II Error a. In general, what...Ch. 8 - Lightning Deaths Listed below are the numbers of...Ch. 8 - Lightning Deaths Refer to the sample data in...Ch. 8 - Lightning Deaths Listed below are the numbers of...Ch. 8 - Lightning Deaths Listed below are the numbers of...Ch. 8 - Lightning Deaths The accompanying bar chart shows...Ch. 8 - Lightning Deaths The graph in Cumulative Review...Ch. 8 - Lightning Deaths The graph in Cumulative Review...Ch. 8 - Lightning Deaths Based on the results given in...Ch. 8 - Critical Thinking: Testing the Salk Vaccine The...
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