Essentials of Statistics (5th Edition)
5th Edition
ISBN: 9780321924599
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 1.2, Problem 33BSC
Percentages in Advertising An ad for Big Skinny wallets included the statement that one of their wallets “reduces your filled wallet size by 50%-200%.” What is wrong with this statement?
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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
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.
blank
c. What is the probability that a…
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.
Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year.
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 1 Solutions
Essentials of Statistics (5th Edition)
Ch. 1.2 - Statistical Significance versus Practical...Ch. 1.2 - Source of Data In conducting a statistical study,...Ch. 1.2 - Voluntary Response Sample What is a voluntary...Ch. 1.2 - Correlation and Causation What is meant by the...Ch. 1.2 - Consider the Source. In Exercises 5-8, determine...Ch. 1.2 - Consider the Source. In Exercises 5-8, determine...Ch. 1.2 - Consider the Source. In Exercises 5-8, determine...Ch. 1.2 - Consider the Source. In Exercises 5-8, determine...Ch. 1.2 - Sampling Method. In Exercises 9-12, determine...Ch. 1.2 - Sampling Method. In Exercises 9-12, determine...
Ch. 1.2 - Sampling Method. In Exercises 9-12, determine...Ch. 1.2 - Sampling Method. In Exercises 9-12, determine...Ch. 1.2 - Statistical Significance and Practical...Ch. 1.2 - Statistical Significance and Practical...Ch. 1.2 - Statistical Significance and Practical...Ch. 1.2 - Statistical Significance and Practical...Ch. 1.2 - In Exercises 17-20, refer to the data in the table...Ch. 1.2 - In Exercises 17-20, refer to the data in the table...Ch. 1.2 - Prob. 19BSCCh. 1.2 - Conclusion If we use the listed pulse rates with...Ch. 1.2 - In Exercises 21-24, refer to the data in the table...Ch. 1.2 - Prob. 22BSCCh. 1.2 - Prob. 23BSCCh. 1.2 - In Exercises 21-24, refer to the data in the table...Ch. 1.2 - Prob. 25BSCCh. 1.2 - Whats Wrong? In Exercises 25-28, identify what is...Ch. 1.2 - Whats Wrong? In Exercises 25-28, identify what is...Ch. 1.2 - Prob. 28BSCCh. 1.2 - Percentages. In Exercises 29-36, answer the given...Ch. 1.2 - Percentages. In Exercises 29-36, answer the given...Ch. 1.2 - Percentages. In Exercises 29-36, answer the given...Ch. 1.2 - Prob. 32BSCCh. 1.2 - Percentages in Advertising An ad for Big Skinny...Ch. 1.2 - Percentages. In Exercises 29-36, answer the given...Ch. 1.2 - Percentages. In Exercises 29-36, answer the given...Ch. 1.2 - Percentages in Advertising A New York Times...Ch. 1.2 - ATV Accidents The Associated Press provided an...Ch. 1.2 - Falsifying Data A researcher at the...Ch. 1.2 - Whats Wrong with This Picture? The Newport...Ch. 1.3 - Parameter and Statistic What is a parameter, and...Ch. 1.3 - Prob. 2BSCCh. 1.3 - Discrete/Continuous Data Which of the following...Ch. 1.3 - Identifying the Population In a Gallup poll of...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 5-12, determine whether the given...Ch. 1.3 - In Exercises 13-20, determine whether the given...Ch. 1.3 - In Exercises 13-20, determine whether the given...Ch. 1.3 - In Exercises 13-20, determine whether the given...Ch. 1.3 - In Exercises 13-20, determine whether the given...Ch. 1.3 - Prob. 17BSCCh. 1.3 - In Exercises 13-20, determine whether the given...Ch. 1.3 - Prob. 19BSCCh. 1.3 - In Exercises 13-20, determine whether the given...Ch. 1.3 - In Exercises 21-28, determine which of the four...Ch. 1.3 - In Exercises 21-28, determine which of the four...Ch. 1.3 - Prob. 23BSCCh. 1.3 - In Exercises 21-28, determine which of the four...Ch. 1.3 - In Exercises 21-28, determine which of the four...Ch. 1.3 - In Exercises 21-28, determine which of the four...Ch. 1.3 - In Exercises 21-28, determine which of the four...Ch. 1.3 - In Exercises 21-28, determine which of the four...Ch. 1.3 - In Exercises 29-32, identify the level of...Ch. 1.3 - In Exercises 29-32, identify the level of...Ch. 1.3 - In Exercises 29-32, identify the level of...Ch. 1.3 - In Exercises 29-32, identify the level of...Ch. 1.3 - Countable For each of the following, categorize...Ch. 1.3 - Scale for Rating Food A group of students develops...Ch. 1.3 - Interpreting Temperature Increase In the Born...Ch. 1.4 - Simple Random Sample At a national conference of...Ch. 1.4 - Observational Study and Experiment You want to...Ch. 1.4 - Simple Random Convenience Sample A student of the...Ch. 1.4 - Convenience Sample The author conducted a survey...Ch. 1.4 - In Exercises 5-8, determine whether the given...Ch. 1.4 - In Exercises 5-8, determine whether the given...Ch. 1.4 - In Exercises 5-8, determine whether the given...Ch. 1.4 - In Exercises 5-8, determine whether the given...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - In Exercises 9-20, identify which of these types...Ch. 1.4 - Simple Random Samples. In Exercises 21-26,...Ch. 1.4 - Simple Random Samples. In Exercises 21-26,...Ch. 1.4 - Prob. 23BSCCh. 1.4 - Simple Random Samples. In Exercises 21-26,...Ch. 1.4 - Simple Random Samples. In Exercises 21-26,...Ch. 1.4 - Simple Random Samples. In Exercises 21-26,...Ch. 1.4 - Prob. 27BBCh. 1.4 - In Exercises 27-30, indicate whether the...Ch. 1.4 - In Exercises 27-30, indicate whether the...Ch. 1.4 - In Exercises 27-30, indicate whether the...Ch. 1.4 - In Exercises 31-34, identify which of these...Ch. 1.4 - In Exercises 31-34, identify which of these...Ch. 1.4 - Prob. 33BBCh. 1.4 - In Exercises 33-36, identify which of these...Ch. 1.4 - Blinding For the study described in Exercise 34,...Ch. 1.4 - Sample Design Literacy In Cardiovascular Effects...Ch. 1 - Chicago Bulls The numbers of the current players...Ch. 1 - Chicago Bulls Which of the following best...Ch. 1 - Earthquake Depths Data Set 16 includes depths (km)...Ch. 1 - Earthquake Depths Are the earthquake depths...Ch. 1 - Earthquake Depths Which of the following best...Ch. 1 - Earthquake Depths True or false: If you construct...Ch. 1 - Prob. 7CQQCh. 1 - Parameter and Statistic In a recent Gallup poll,...Ch. 1 - Observational Study or Experiment Are the data...Ch. 1 - 10. Statistical Significance and Practical...Ch. 1 - Walmart Stores Currently, there are 4227 Walmart...Ch. 1 - Whats Wrong? A survey sponsored by the American...Ch. 1 - Whats Wrong? A survey included 4230 responses from...Ch. 1 - Sampling Seventy-two percent of Americans squeeze...Ch. 1 - Percentages a. The labels on U-Turn protein energy...Ch. 1 - Why the Discrepancy? A Gallup poll was taken two...Ch. 1 - Statistical Significance and Practical...Ch. 1 - Marijuana Survey In a recent Pew poll of 1500...Ch. 1 - Marijuana Survey Identify the type of sampling...Ch. 1 - Marijuana Survey Exercise 8 referred to a Pew poll...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - Prob. 5CRECh. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - For Chapter 2 through Chapter 14, the Cumulative...Ch. 1 - Simple Random Sample In this project, we will use...Ch. 1 - Critical Thinking The concept of six degrees of...Ch. 1 - Critical Thinking The concept of six degrees of...
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- In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 3 4 or more 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 4 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. Compare it to the expected value of x. The…arrow_forwardIn Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Excel File: data05-23.xls Number of Cups per Day Number of Responses 0 365 264 193 2 3 4 or more 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round your answers to four decimal places. a. Develop a probability distribution for x. x 0 1 2 3 f(x) b. Compute the expected value of x. cups of coffee c. Compute the variance of x. cups of coffee squared d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y. Compare it to the expected value of x. The…arrow_forwardA technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency. Develop a probability distribution for the duration of a service call. Duration of Call x f(x) 1 2 3 4 Which of the following probability distribution graphs accurately represents the data set? Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)? What is the probability a service call will take three hours? A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?arrow_forward
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