Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 1.3, Problem 10BSC
In Exercises 9–20, identify which of these types of sampling is used: random, systematic, convenience, stratified, or cluster.
10. Sexuality of Women The sexuality of women was discussed in Shere Hite’s book Women and Love: A Cultural Revolution. Her conclusions were based on sample data that consisted of 4500 mailed responses from 100.000 questionnaires that were sent to women.
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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.
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…
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…
Chapter 1 Solutions
Elementary Statistics (13th Edition)
Ch. 1.1 - Online Medical Info USA Today posted this question...Ch. 1.1 - Reported Versus Measured In a survey of 1046...Ch. 1.1 - Statistical Significance Versus Practical...Ch. 1.1 - Correlation One study showed that for a recent...Ch. 1.1 - Consider the Source. In Exercises 58, determine...Ch. 1.1 - Consider the Source. In Exercises 58, determine...Ch. 1.1 - Consider the Source. In Exercises 58, determine...Ch. 1.1 - Consider the Source. In Exercises 58, determine...Ch. 1.1 - Sampling Method. In Exercises 912, determine...Ch. 1.1 - Sampling Method. In Exercises 912, determine...
Ch. 1.1 - Sampling Method. In Exercises 9-12, determine...Ch. 1.1 - Sampling Method. In Exercises 912, determine...Ch. 1.1 - Statistical Significance and Practical...Ch. 1.1 - Statistical Significance and Practical...Ch. 1.1 - Statistical Significance and Practical...Ch. 1.1 - Statistical Significance and Practical...Ch. 1.1 - In Exercises 1720, refer to the sample of body...Ch. 1.1 - In Exercises 1720, refer to the sample of body...Ch. 1.1 - In Exercises 1720, refer to the sample of body...Ch. 1.1 - In Exercises 1720, refer to the sample of body...Ch. 1.1 - In Exercises 2124, refer to the data in the table...Ch. 1.1 - In Exercises 2124, refer to the data in the table...Ch. 1.1 - In Exercises 2124, refer to the data in the table...Ch. 1.1 - In Exercises 2124, refer to the data in the table...Ch. 1.1 - Whats Wrong? In Exercises 2528, identify what is...Ch. 1.1 - Whats Wrong? In Exercises 2528, identify what is...Ch. 1.1 - Whats Wrong? In Exercises 2528, identify what is...Ch. 1.1 - Whats Wrong? In Exercises 25-28, identify what is...Ch. 1.1 - Workplace Attire In a survey conducted by Opinion...Ch. 1.1 - Checking Job Applicants In a study conducted by...Ch. 1.1 - Marriage Proposals In a survey conducted by...Ch. 1.1 - Chillax USA Today reported results from a Research...Ch. 1.1 - Percentages in Advertising An ad for Big Skinny...Ch. 1.1 - Percentages in Advertising Continental Airlines...Ch. 1.1 - Percentages In Advertising A New York Times...Ch. 1.1 - Percentages in Negotiations When the author was...Ch. 1.1 - Whats Wrong with This Picture? The Newport...Ch. 1.1 - Falsifying Data A researcher at the...Ch. 1.2 - Parameter and Statistic In a Harris Interactive...Ch. 1.2 - Quantitative/Categorical Data Identify each of the...Ch. 1.2 - Discrete/Continuous Data Which of the following...Ch. 1.2 - Health Survey In a survey of 1020 adults in the...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 512, identify whether the given value...Ch. 1.2 - In Exercises 1320, determine whether the data are...Ch. 1.2 - In Exercises 1320, determine whether the data are...Ch. 1.2 - In Exercises 13-20, determine whether the data are...Ch. 1.2 - In Exercises 13-20, determine whether the data are...Ch. 1.2 - In Exercises 1320, determine whether the data are...Ch. 1.2 - In Exercises 1320, determine whether the data are...Ch. 1.2 - In Exercises 1320, determine whether the data are...Ch. 1.2 - In Exercises 1320, determine whether the data are...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2128, determine which of the four...Ch. 1.2 - In Exercises 2932, identify the level of...Ch. 1.2 - Social Security Numbers As part of a project in a...Ch. 1.2 - Temperatures As this exercise is being written, it...Ch. 1.2 - College Ranks As of this writing, U.S. News World...Ch. 1.2 - Countable For each of the following, categorize...Ch. 1.3 - Back Pain Treatment In a study designed to test...Ch. 1.3 - Blinding What does it mean when we say that the...Ch. 1.3 - Replication In what specific way was replication...Ch. 1.3 - Sampling Method The patients included in the study...Ch. 1.3 - Exercises 58 refer to the study of an association...Ch. 1.3 - Experiment or Observational Study Is the study an...Ch. 1.3 - Exercises 58 refer to the study of an association...Ch. 1.3 - Sampling Method Assume that the population...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - In Exercises 920, identify which of these types of...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - Critical Thinking: Whats Wrong? In Exercises 2128,...Ch. 1.3 - In Exercises 2932, indicate whether the...Ch. 1.3 - Prob. 30BSCCh. 1.3 - In Exercises 2932, indicate whether the...Ch. 1.3 - In Exercises 2932, indicate whether the...Ch. 1.3 - In Exercises 3336, identify which of these designs...Ch. 1.3 - In Exercises 3336, identify which of these designs...Ch. 1.3 - In Exercises 3336, identify which of these designs...Ch. 1.3 - In Exercises 3336, identify which of these designs...Ch. 1.3 - Simple Random Sample vs. Random Sample Refer to...Ch. 1 - Hospitals In a study of births in New York State,...Ch. 1 - Hospitals Which of the following best describes...Ch. 1 - Birth Weights In the same study cited in Exercise...Ch. 1 - Birth Weights Are the birth weights described in...Ch. 1 - Birth Weights Which of the following best...Ch. 1 - Statistic /Parameter In an AARP survey of 1019...Ch. 1 - AARP Survey Refer to the survey described in...Ch. 1 - Observational Study or Experiment Are the data...Ch. 1 - Physicians Health Study In the Physicians Health...Ch. 1 - Sampling In a statistical study, which of the...Ch. 1 - Whats Wrong? In an American Optometric Association...Ch. 1 - Paying for First Dates USA Today posted this...Ch. 1 - Sample Design Literacy In Cardiovascular Effects...Ch. 1 - Divorces and Margarine One study showed that there...Ch. 1 - Simple Random Sample Which of the following is/are...Ch. 1 - Defense of Marriage Act Both of the following...Ch. 1 - Colleges in United States Currently, there are...Ch. 1 - Percentages a. The labels on U-Turn protein energy...Ch. 1 - Types of Data In each of the following, identify...Ch. 1 - Statistical Significance and Practical...Ch. 1 - Prob. 1CRECh. 1 - Prob. 2CRECh. 1 - Tallest Person Robert Wadlow (19181940) is the...Ch. 1 - Body Temperature The given expression is used for...Ch. 1 - Determining Sample Size The given expression is...Ch. 1 - Standard Deviation One way to get a very rough...Ch. 1 - Standard Deviation The standard deviation is an...Ch. 1 - Standard Deviation The given expression is used to...Ch. 1 - Scientific Notation. In Exercises 912, the given...Ch. 1 - Scientific Notation. In Exercises 912, the given...Ch. 1 - Scientific Notation. In Exercise 912, the given...Ch. 1 - Prob. 12CRECh. 1 - Prob. 1TPCh. 1 - Critical Thinking: Do Male Symphony Conductors...Ch. 1 - Critical Thinking: Do Male Symphony Conductors...Ch. 1 - Critical Thinking: Do Male Symphony Conductors...Ch. 1 - Critical Thinking: Do Male Symphony Conductors...
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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 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_forwardA psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed. x f(x) for x = 1, 2, or 3 a. Consider the required conditions for a discrete probability function, shown below. f(x) ≥0 Σf(x) = 1 (5.1) (5.2) Does this probability distribution satisfy equation (5.1)? Select Does this probability distribution satisfy equation (5.2)? Select b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)? c. What is the probability that it takes at least 2 sessions to gain the patient's trust (to 3 decimals)?arrow_forward
- A 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. 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_forwardWest 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 10 20 f(x) .05 .10 11 30 40 50 60 .10 .20 .35 .20 a. Is this probability distribution valid? Yes Explain. greater than or equal to 0 f(x) Σf(x) equal to 1 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 yeararrow_forwardReconsider the patient satisfaction data in Table 1. Fit a multiple regression model using both patient age and severity as the regressors. (a) Test for significance of regression. (b) Test for the individual contribution of the two regressors. Are both regressor variables needed in the model? (c) Has adding severity to the model improved the quality of the model fit? Explain your answer.arrow_forward
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