Thinking Mathematically (6th Edition)
6th Edition
ISBN: 9780321867322
Author: Robert F. Blitzer
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 13.1, Problem 36E
(a)
To determine
To calculate: The professor who is declared as a new department chair using pairwise comparison method.
(b)
To determine
To calculate: The professor which is declared as a new department chair using pairwise comparison method.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The city of Raleigh has 11000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 450 randomly selected registered voters was conducted. 165 said they'd vote for Brown, 243 said they'd vote for Feliz, and 42 were undecided.
Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. Note: The proportion should be a fraction or decimal, not a percent. __________This sample statistic suggests that we might expect __________ of the 11000 registered voters to vote for Brown.
Please answer fast i give upvote
A company studies the product preferences of 20,000 consumers. It was found that each of the
products A, B and C was liked by 7500, 6500 and 5500 respectively and all the products were
liked by 1230. Products A and B were liked by 2500, products A and C were liked by 2300 and
products B and C were liked by 2530. Prove that the study results are not correct.
The cross-tabulation table below shows partial results from a study done at the June Mountain ski area. Patrons were asked whether they preferred snowboarding or skiing. If a person is randomly selected from the study and the person selected prefers snowboarding, how likely is it that the person selected is 25 to 40 years old?
Chapter 13 Solutions
Thinking Mathematically (6th Edition)
Ch. 13.1 - CHECK POINT 1 Four candidates are running for...Ch. 13.1 - CHECK POINT 2 Table 13.2 on page 841 shows the...Ch. 13.1 - Prob. 3CPCh. 13.1 - Prob. 4CPCh. 13.1 - CHECK POINT 5 Table 13.2 on page 841 shows the...Ch. 13.1 - Fill in each blank so that the resulting statement...Ch. 13.1 - Fill in each blank so that the resulting statement...Ch. 13.1 - Fill in each blank so that the resulting statement...Ch. 13.1 - Fill in each blank so that the resulting statement...Ch. 13.1 - Fill in each blank so that the resulting statement...
Ch. 13.1 - Prob. 6CVCCh. 13.1 - Fill in each blank so that the resulting statement...Ch. 13.1 - Prob. 8CVCCh. 13.1 - In Exercises 1-2, the preference ballots for three...Ch. 13.1 - In Exercises 1-2, the preference ballots for three...Ch. 13.1 - In Exercises 3-4, four students are running for...Ch. 13.1 - Prob. 4ECh. 13.1 - Your class is given the option of choosing a day...Ch. 13.1 - Prob. 6ECh. 13.1 - Prob. 7ECh. 13.1 - 8. The travel club members are voting for the...Ch. 13.1 - Four professors are running for chair of the...Ch. 13.1 - Prob. 10ECh. 13.1 - Prob. 11ECh. 13.1 - Use the preference table shown in Exercise 8....Ch. 13.1 - Prob. 13ECh. 13.1 - Use the preference table shown in Exercise 10. Who...Ch. 13.1 - Use the preference table shown in Exercise 7....Ch. 13.1 - Use the preference table shown in Exercise 8....Ch. 13.1 - Use the preference table shown in Exercise 9. Who...Ch. 13.1 - Prob. 18ECh. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - In Exercises 19-22, suppose that the pairwise...Ch. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Use the preference table shown in Exercise 9. Who...Ch. 13.1 - Prob. 26ECh. 13.1 - In Exercises 27-30, 72 voters are asked to rank...Ch. 13.1 - Prob. 28ECh. 13.1 - In Exercises 27-30, 72 voters are asked to rank...Ch. 13.1 - In Exercises 27-30, 72 voters are asked to rank...Ch. 13.1 - Prob. 31ECh. 13.1 - Prob. 32ECh. 13.1 - Prob. 33ECh. 13.1 - The programmers at the Theater Channel need to...Ch. 13.1 - 35. Five candidates. A, B, C, D, and E, are...Ch. 13.1 - Prob. 36ECh. 13.1 - Prob. 37ECh. 13.1 - Three candidates, A, B, and C, are running for...Ch. 13.1 - What is a preference ballot?Ch. 13.1 - Prob. 40ECh. 13.1 - Prob. 41ECh. 13.1 - 42. Describe the Borda count method. Is it...Ch. 13.1 - What is the plurality-with-elimination method? Why...Ch. 13.1 - What is the pairwise comparison method? Is it...Ch. 13.1 - Prob. 45ECh. 13.1 - Prob. 46ECh. 13.1 - Prob. 47ECh. 13.1 - Prob. 48ECh. 13.1 - Prob. 49ECh. 13.1 - Make Sense? In Exercises 49-52, determine whether...Ch. 13.1 - Make Sense? In Exercises 49-52, determine whether...Ch. 13.1 - Prob. 52ECh. 13.1 - Prob. 53ECh. 13.1 - In Exercises 53-56, construct a preference table...Ch. 13.1 - Prob. 55ECh. 13.1 - In Exercises 53-56, construct a preference table...Ch. 13.1 - 57. Research and present a group report on how...Ch. 13.1 - Research and present a group report on how voting...Ch. 13.2 - CHECK POINT I The 14 members of the school board...Ch. 13.2 - Prob. 2CPCh. 13.2 - CHECK POINT 3 An election with 120 voters and...Ch. 13.2 - Prob. 4CPCh. 13.2 - Fill in each blank so that the resulting statement...Ch. 13.2 - Fill in each blank so that the resulting statement...Ch. 13.2 - Fill in each blank so that the resulting statement...Ch. 13.2 - Prob. 4CVCCh. 13.2 - Prob. 5CVCCh. 13.2 - Fill in each blank so that the resulting statement...Ch. 13.2 - Voters in a small town are considering four...Ch. 13.2 - 2. Fifty-three people are asked to taste-test and...Ch. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - A town is voting on an ordinance dealing with...Ch. 13.2 - A town is voting on an ordinance dealing with...Ch. 13.2 - 7. The following preference table gives the...Ch. 13.2 - Prob. 8ECh. 13.2 - 9. Members of the Student Activity Committee at a...Ch. 13.2 - Prob. 10ECh. 13.2 - Prob. 11ECh. 13.2 - Prob. 12ECh. 13.2 - In Exercises 11-18, the preference table for an...Ch. 13.2 - Prob. 14ECh. 13.2 - In Exercises 11-18, the preference table for an...Ch. 13.2 - In Exercises 11-18, the preference table for an...Ch. 13.2 - In Exercises 11-18, the preference table for an...Ch. 13.2 - Prob. 18ECh. 13.2 - Prob. 19ECh. 13.2 - Describe the majority criterion.Ch. 13.2 - Describe the head-to-head criterion.Ch. 13.2 - Describe the monotonicity criterion.Ch. 13.2 - 23. Describe the irrelevant alternatives...Ch. 13.2 - 24. In your own words, state Arrow’s Impossibility...Ch. 13.2 - Prob. 25ECh. 13.2 - Is it possible to have election results using a...Ch. 13.2 - Prob. 27ECh. 13.2 - Prob. 28ECh. 13.2 - Make Sense? In Exercises 28-31, determine whether...Ch. 13.2 - Prob. 30ECh. 13.2 - Make Sense? In Exercises 28-31, determine whether...Ch. 13.2 - Prob. 32ECh. 13.2 - Prob. 33ECh. 13.2 - Prob. 34ECh. 13.2 - Prob. 35ECh. 13.2 - Citizen-initiated ballot measures often present...Ch. 13.3 - CHECK POINT 1 The Republic of Amador is composed...Ch. 13.3 - CHECK POINT 2 Refer to Check Point 1 on page 865....Ch. 13.3 - Prob. 3CPCh. 13.3 - Prob. 4CPCh. 13.3 - Prob. 5CPCh. 13.3 - Fill in each blank so that the resulting statement...Ch. 13.3 - Fill in each blank so that the resulting statement...Ch. 13.3 - Fill in each blank so that the resulting statement...Ch. 13.3 - Prob. 4CVCCh. 13.3 - Prob. 5CVCCh. 13.3 - Fill in each blank so that the resulting statement...Ch. 13.3 - Fill in each blank so that the resulting statement...Ch. 13.3 - Throughout this Exercise Set, in computing...Ch. 13.3 - Throughout this Exercise Set, in computing...Ch. 13.3 - Throughout this Exercise Set, in computing...Ch. 13.3 - Throughout this Exercise Set, in computing...Ch. 13.3 - A university is composed of five schools. The...Ch. 13.3 - Prob. 6ECh. 13.3 - 7. A small country is composed of five states. A,...Ch. 13.3 - 8. A small country is comprised of four states, A,...Ch. 13.3 - Prob. 9ECh. 13.3 - Prob. 10ECh. 13.3 - The police department in a large city has 180 new...Ch. 13.3 - Prob. 12ECh. 13.3 - Prob. 13ECh. 13.3 - Prob. 14ECh. 13.3 - 15. Twenty sections of bilingual math courses,...Ch. 13.3 - Prob. 16ECh. 13.3 - A rapid transit service operates 200 buses along...Ch. 13.3 - Refer to Exercise 11. Use Webster’s method to...Ch. 13.3 - A hospital has a nursing staff of 250 nurses...Ch. 13.3 - A hospital has a nursing staff of 250 nurses...Ch. 13.3 - A hospital has a nursing staff of 250 nurses...Ch. 13.3 - A hospital has a nursing staff of 250 nurses...Ch. 13.3 - The table shows the 1790 United States census. In...Ch. 13.3 - Prob. 24ECh. 13.3 - Prob. 25ECh. 13.3 - Prob. 26ECh. 13.3 - 27. Describe how to find a standard divisor.
Ch. 13.3 - 28. Describe how to determine a standard quota for...Ch. 13.3 - Prob. 29ECh. 13.3 - Prob. 30ECh. 13.3 - Describe the apportionment problem.Ch. 13.3 - Prob. 32ECh. 13.3 - Prob. 33ECh. 13.3 - Explain why Hamilton’s method satisfies the quota...Ch. 13.3 - Prob. 35ECh. 13.3 - Suppose that you guess at a modified divisor, d,...Ch. 13.3 - Describe the difference between the modified...Ch. 13.3 - In allocating congressional seats, how does...Ch. 13.3 - 39. How are modified quotas rounded using...Ch. 13.3 - Why might it take longer to guess at a modified...Ch. 13.3 - In this Exercise Set, we have used apportionment...Ch. 13.3 - Prob. 42ECh. 13.3 - Make Sense? In Exercises 42-45, determine whether...Ch. 13.3 - Make Sense? In Exercises 42-45, determine whether...Ch. 13.3 - Prob. 45ECh. 13.3 - Prob. 46ECh. 13.3 - Prob. 47ECh. 13.3 - Prob. 48ECh. 13.3 - A small country is composed of three states, A, B,...Ch. 13.3 - Prob. 50ECh. 13.3 - Research and present a group| report on a brief...Ch. 13.4 - CHECK POINT I Table 13.42 shows the populations of...Ch. 13.4 - CHECK POINT 2 A small country has 100 seats in the...Ch. 13.4 - Prob. 3CPCh. 13.4 - Prob. 1CVCCh. 13.4 - Prob. 2CVCCh. 13.4 - Prob. 3CVCCh. 13.4 - Prob. 4CVCCh. 13.4 - 1. The mathematics department has 30 teaching...Ch. 13.4 - 2. A school district has 57 new laptop computers...Ch. 13.4 - 3. The table shows the populations of three states...Ch. 13.4 - The table at the top of the next column shows the...Ch. 13.4 - A small country has 24 seats in the congress,...Ch. 13.4 - Prob. 6ECh. 13.4 - 7. A town has 40 mail trucks and four districts in...Ch. 13.4 - 8. A town has five districts in which mail is...Ch. 13.4 - A corporation has two branches A and B. Each year...Ch. 13.4 - 10. A corporation has three branches, A, B, and C...Ch. 13.4 - Prob. 11ECh. 13.4 - a. A country has three states, state A, with a...Ch. 13.4 - 13. In Exercise 12, use Jefferson’s method with ...Ch. 13.4 - Prob. 14ECh. 13.4 - Prob. 15ECh. 13.4 - What is the new-states paradox?Ch. 13.4 - 17. According to Balinski and Young’s...Ch. 13.4 - Make Sense? In Exercises 18-21, determine whether...Ch. 13.4 - Prob. 19ECh. 13.4 - Prob. 20ECh. 13.4 - Make Sense? In Exercises 18-21, determine whether...Ch. 13.4 - Give an example of a country with three states in...Ch. 13 - In Exercises 1-8, three candidates, A, B, and C,...Ch. 13 - In Exercises 1-8, three candidates, A, B, and C,...Ch. 13 - In Exercises 1-8, three candidates, A, B, and C,...Ch. 13 - In Exercises 1-8, three candidates, A, B, and C,...Ch. 13 - In Exercises 1–8, three candidates, A, B, and C,...Ch. 13 - In Exercises 1–8, three candidates, A, B, and C,...Ch. 13 - In Exercises 1-8, three candidates, A, B, and C,...Ch. 13 - In Exercises 1-8, three candidates A, B, and C,...Ch. 13 - Use the following preference table to solve...Ch. 13 - Use the following preference table to solve...Ch. 13 - Use the following preference table to solve...Ch. 13 - Prob. 12TCh. 13 - Prob. 13TCh. 13 - Prob. 14TCh. 13 - Prob. 15TCh. 13 - Prob. 16TCh. 13 - In Exercises 16-24, an HMO has 10 doctors to be...Ch. 13 - Prob. 18TCh. 13 - Prob. 19TCh. 13 - Prob. 20TCh. 13 - Prob. 21TCh. 13 - Prob. 22TCh. 13 - Prob. 23TCh. 13 - In Exercises 16-24, an HMO has 10 doctors to be...Ch. 13 - 25. Write one sentence for a person not familiar...Ch. 13 - 1. The 12 preference ballots for four candidates...Ch. 13 - (In Exercises 2-5, be sure to refer to the...Ch. 13 - (In Exercises 2-5, be sure to refer to the...Ch. 13 - (In Exercises 2-5, be sure to refer to the...Ch. 13 - (In Exercises 2-5, be sure to refer to the...Ch. 13 - Prob. 6RECh. 13 - In Exercises 6-9, the Theater Society members are...Ch. 13 - In Exercises 6-9, the Theater Society members are...Ch. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - In Exercises 10-13, four candidates, A, B, C, and...Ch. 13 - In Exercises 14-16, voters in a small town are...Ch. 13 - In Exercises 14-16, voters in a small town are...Ch. 13 - Prob. 16RECh. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Use the following preference table to solve...Ch. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Prob. 23RECh. 13 - Prob. 24RECh. 13 - Use the following preference table, which shows...Ch. 13 - Prob. 26RECh. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - Prob. 30RECh. 13 - Prob. 31RECh. 13 - Prob. 32RECh. 13 - Prob. 33RECh. 13 - Prob. 34RECh. 13 - Prob. 35RECh. 13 - Prob. 36RECh. 13 - Prob. 37RECh. 13 - Prob. 38RECh. 13 - In Exercises 37-40, a country is composed of four...Ch. 13 - Prob. 40RECh. 13 - Prob. 41RECh. 13 - A country has 100 seats in the congress, divided...Ch. 13 - Prob. 43RECh. 13 - Is the following statement true or false? There...
Knowledge Booster
Similar questions
- A political advisor wants to assess the voter appeal of three candidates, A, B, and C. Twelve voters were asked to watch a 10-minute video speech by each candidate, after which the voters rated each candidate on such factors as appearance, clarity of expression, voice, and overall impression. A final score on a 20-point scale was given to each candidate. Each voter first listened to Candidate A, then Candidate B, then Candidate C. The results are shown below. Voter Candidate A Candidate B Candidate C 1 18 14 18 2 17 15 17 3 19 16 15 17 17 16 5 18 13 17 6 15 15 14 17 14 15 8 16 12 17 9 16 16 14 10 17 15 18 11 15 16 15 12 19 17 16 (a) Which of the following is a correct description of the experimental units? the 10-minute video speech by candidates A, B, and C O the pool of all potential voters O the 12 voters used in this study O the rating of a candidate on a scale of 0 to 20 (b) Which of the following is a correct description of the treatments? O the 10-minute video speech by…arrow_forwardSample for a Poll There are 15,524,971 adults in Florida. If The Gallup organization randomly selects 1068 adults without replacement, are the selections independent or dependent? If the selections are dependent, can they be treated as being independent for the purposes of calculations?arrow_forwardA study was conducted to investigate whether there are regional differences in peanut butter preference in the United States. The country was divided into 7 geographic regions, and in each region, a random sample of peanut butter eaters was asked whether they preferred creamy or crunchy peanut butter. The responses were summarized in a 7-by-2 table of counts for each combination of geographic region and creamy or crunchy peanut butter preference. Which of the following tests is the most appropriate for the investigation? A two-sample tt-test for a difference between means A A two-sample zz-test for a difference between proportions B A chi-square test of homogeneity C A chi-square test of independence D A chi-square goodness-of-fit test Earrow_forward
- You have been employed as a marketing executive by the Coca-Cola company to evaluate their progress in the century-long "cola war" with Pepsi. Historical data suggests that Coke has been preferred to Pepsi by 60% of high school children. To gather some up to date data on preferences, you have carried out a survey of a simple random sample of 125 high school children and asked them whether they prefer Coke or Pepsi. Of these, 58 replied that they prefer Coke and the remainder said they prefer Pepsi. 1. Carry out a hypothesis test for whether the preference for Coke over Pepsi among high school children exceeds the historical level. Use the 5% level of significance and a p value decision rule. 2. Compute a 95% confidence interval for the proportion of high school children who prefer Coke. Is there a relationship between this confidence interval and the finding of the hypothesis test in question 1? Explain.arrow_forwardThe owner of an ice cream shop claims that 40% of his customers prefer chocolate ice cream, 35% prefer vanilla ice cream, 15% prefer strawberry ice cream, and 10% prefer mint ice cream. One of his employees wishes to test this claim. The employee randomly selects 100 customers and asks them about their preferred ice cream flavor. The following table shows the preference of each of the 100 surveyed respondents. Chocolate vanilla strawberry mint 34 31 25 10 Assuming the requirements for the procedure have been met, which of the following procedures should the employee use to test the owner's claim about his customers' ice cream preferences? - chi-square test for homogeneity -chi-square goodness-of-fit test -chi-square test for independence -one-sample ?‑test for a mean -one-sample ?‑test for a proportionarrow_forwardCalculator: Use your calculator with a seed value of 33 to randomly select one of the groups (1-3). For each number selected, determine if the selected individual thinks education is important (I) or not important (N). After all selections have been made, determine the proportion of the sample that thinks education is important. What is the sample proportion who think education is important?arrow_forward
- Quinn, a market analyst at Chips 4U vending machine company, wants to determine the best allocation of snacks throughout schools in a school district where the company recently won a contract to install snack machines. In particular, Quinn wants to determine whether there is a relationship between grade level and snack preference. A random sample of 130 students is surveyed, and their school level and preferred snack are given in the table. SNACK granola bar peanuts pretzels chocolate bar TOTAL ELEMENTARY 32 10 17 20 79 Expected: HIGH SCHOOL 15 7 20 9 51 Expected: TOTAL 47 17 37 29 130 Complete the contingency table by entering the expected values (round to 2 decimal places). Then conduct an appropriate hypothesis test at alpha=0.02 . Determine the null and alternative hypotheses. �0: Grade level and student snack preferences both follow a uniform distribution.��: Grade level and student snack preferences follow some other distribution.…arrow_forwardNational polls from October 2016 showed that preferences for the 2016 presidential election differed along gender lines. Poll results showed that a greater percentage of likely female voters supported Clinton/Kaine, while a greater percentage of likely male voters supported Trump/Pence. A summary of poll results are shown in the table below. Men Women Clinton/Kaine 0.44 0.49 Trump/Pence 0.47 0.43 Based on this data, answer the following questions. Assume each person selected is independent from one another. Round your answers to 3 decimal places.(a) If 10 women across the US are randomly selected, find the probability that 9 or more support Clinton/Kaine. (b) If 20 men across the US are randomly selected, find the probability that 16 or less support Trump/Pence. (c) If 260 women across the US are randomly selected, how many would you expect to support Clinton/Kaine? (d) If 240 men across the US are randomly selected, how many would you expect to support Trump/Pence?arrow_forwardNational polls from October 2016 showed that preferences for the 2016 presidential election differed along gender lines. Poll results showed that a greater percentage of likely female voters supported Clinton/Kaine, while a greater percentage of likely male voters supported Trump/Pence. A summary of poll results are shown in the table below. Men Women Clinton/Kaine 0.44 0.49 Trump/Pence 0.47 0.43 Based on this data, answer the following questions. Assume each person selected is independent from one another. Round your answers to 3 decimal places.(a) If 10 women across the US are randomly selected, find the probability that 9 or more support Clinton/Kaine. (b) If 30 men across the US are randomly selected, find the probability that 20 or less support Trump/Pence. (c) If 220 women across the US are randomly selected, how many would you expect to support Clinton/Kaine? (d) If 340 men across the US are randomly selected, how many would you expect to support Trump/Pence?arrow_forward
- Mahoney Custom Home Builders, Inc. of Canyon Lake, Texas asked visitors to their website what is most important when choosing a home builder. Possible responses were quality, price, customer referral, years in business, and special features. Results showed that23.5% of the respondents chose price as the most important factor (Mahoney CustomHomes website, November 13, 2012). Suppose a sample of 200 potential home buyers inthe Canyon Lake area was selected.a. How many people would you expect to choose price as the most important factor whenchoosing a home builder?arrow_forwardA survey of 200 randomly selected college students was conducted to determine if the campus library should extend its hours of operation. The results of the survey are in the table. Closing Time Preference Close at 8 p.m. Close at 10 p.m. Close at midnight Year in College Freshmen Sophomores 25 15 20 15 5 25 Juniors 10 25 15 Seniors 25 15 5 If there are 4,000 students at the college, what is the best estimate for the number of students who prefer the library to close at 10 p.m.? O 1,000 students 1 200 students Next ▸ US 9:48 < Previous % A O DELL & ★ MEarrow_forwardA researcher would like to determine whether infants, age 2 to 3 months, show any evidence of color preference. The babies are positioned in front of a screen on which a set of four colored patches is presented. The four colors are red, green, blue, and yellow. The researcher measures the amount of time each infant looks at each of the four colors during a 30-second test period. The color with the greatest time is identified as the preferred color for the child. What type of test would you use to test the hypothesis that babies can differentiate between color (e.g., will have different look times between the 4 colors)? Would you use a one-tailed or two-tailed test? What would be an appropriate measure of effect size to report?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL