Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
9th Edition
ISBN: 9781337098120
Author: Frederick J Gravetter, Larry B. Wallnau, Lori-Ann B. Forzano
Publisher: Cengage Learning
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Chapter 8.4, Problem 3LC
A researcher expects a treatment to produce an increase in the population
- a. + 2.33
- b. ± 2.58
- c. + 1.65
- d. ± 2.33
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For unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of
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2
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West Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1000 people (Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff.
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Excel File: data05-19.xls
x
10
f(x)
.05
20
30
.10
.10
40
.20
50
60
.35
.20
a. Is this probability distribution valid?
- Select your answer-
Explain.
f(x)
Σf(x)
Select your answer
Select your answer
b. What is the probability MCC will obtain more than 30 new clients (to 2 decimals)?
c. What is the probability MCC will obtain fewer than 20 new clients (to 2 decimals)?
d. Compute the expected value and variance of x.
Expected value
Variance
clients per year
squared clients per year
For unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of
months unemployed and the values in the second column show the corresponding number of unemployed persons.
Months
Unemployed
Number
Unemployed
1
1029
2
1686
3
2269
4
2675
5
3487
6
4652
7
4145
8
3587
9
2325
10
1120
Let x be a random variable indicating the number of months a person is unemployed.
a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals).
(x)
f(x)
1
2
3
4
5
6
7
8
9
10
b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution.
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
c. What is the probability that a person…
Chapter 8 Solutions
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Ch. 8.1 - In general terms, what is a hypothesis test? 1. A...Ch. 8.1 - A sample is selected from a population with a mean...Ch. 8.1 - Which of the following accurately describes the...Ch. 8.1 - A sample of n - 25 individuals is selected from a...Ch. 8.2 - What does a type II error mean? a. A researcher...Ch. 8.2 - Which of the following defines a Type I error? a....Ch. 8.2 - Prob. 3LCCh. 8.3 - A research report includes the statement, z -...Ch. 8.3 - Prob. 2LCCh. 8.3 - What assumption is needed before you can use the...
Ch. 8.4 - A population is known to have a mean of = 50. A...Ch. 8.4 - A researcher is conducting an experiment to...Ch. 8.4 - A researcher expects a treatment to produce an...Ch. 8.5 - Under what circumstances can a very small...Ch. 8.5 - A sample of n - 9 scores is selected from a...Ch. 8.5 - If other factors are held constant, then how does...Ch. 8.6 - If the power of a hypothesis test is found to be p...Ch. 8.6 - How does the sample size influence the likelihood...Ch. 8.6 - How is the power of a hypothesis test related to...Ch. 8 - Identify the four steps of a hypothesis test as...Ch. 8 - Define the alpha level and the critical region for...Ch. 8 - Define a Type I error and a Type II error and...Ch. 8 - If the alpha level is changed from = .05 to =...Ch. 8 - Explain how each of the following influences the...Ch. 8 - Ackerman and Goldsmith (2011) report that students...Ch. 8 - Babcock and Marks (2010) review survey data from...Ch. 8 - Childhood participation in sports, cultural...Ch. 8 - The psychology department is gradually changing...Ch. 8 - A random sample is selected from a normal...Ch. 8 - A random sample of n = 16 stores is selected from...Ch. 8 - In a study examining the effect of humor on...Ch. 8 - A random sample is selected from a normal...Ch. 8 - Researchers at a National Weather Center in the...Ch. 8 - A high school teacher has designed a new course...Ch. 8 - Miller (2008) examined the energy drink...Ch. 8 - After examining over one million online restaurant...Ch. 8 - A researcher is evaluating the influence of a...Ch. 8 - A researcher plans to conduct an experiment...Ch. 8 - Research has shown that 10 scores have been...Ch. 8 - Briefly explain how increasing sample size...Ch. 8 - Explain how the power of a hypothesis test is...
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