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Question: Refer to Exercise 7.22. a. Determine


Refer to Exercise 7.22.
a. Determine the probability distribution of the amount of money the arcade takes in per child.
b. Use the probability distribution to calculate the mean and variance of the amount of money the arcade takes in.
c. Compare the answers in part (b) with those of Exercise 7.24. Are they identical (except for rounding errors)?
Data from Exercise 7.22:
After watching a number of children playing games at a video arcade, a statistics practitioner estimated the following probability distribution of X, the number of games per visit.


> The Travel Industry Association of America sponsored a poll that asked a random sample of people how much they spent in preparation for pleasure travel. Determine the quartiles and describe what they tell you.

> a. Describe why the Literary Digest poll of 1936 has become infamous. b. What caused this poll to be so wrong?

> How much do pets cost? A random sample of dog and cat owners was asked to compute the amounts of money spent on their pets (exclusive of pet food). Determine the quartiles and describe your findings.

> Accountemps, a company that supplies temporary workers, sponsored a survey of 100 executives. Each was asked to report the number of minutes they spend screening each job resume they receive. a. Compute the quartiles. b. What information did you derive f

> Many automotive experts believe that speed limits on highways are too low. One particular expert has stated that he thinks that most drivers drive at speeds that they consider safe. He suggested that the “correct” speed limit should be set at the 85th pe

> The natural remedy Echinacea is reputed to boost the immune system, which will reduce the number of flu and colds. A 6-month study was undertaken to determine whether the remedy works. From this study, the following probability distribution of the number

> Find the interquartile range of the following sample. 9 28 15 21 12 22 29 20 23 31 11 19 24 16 13

> Compute the interquartile range from the following data. 5 8 14 6 21 11 9 10 18 2

> Refer to Exercise 4.62. Determine the interquartile range. Data from Exercise 4.62: Calculate the 3rd and 6th deciles of the accompanying data. 7 18 12 17 29 18 4 27 30 2 4 10 21 5 8

> Refer to Exercise 4.61. Determine the interquartile range. Data from Exercise 4.61: Determine the first, second, and third quartiles of the following data. 10.5 14.7 15.3 17.7 15.9 12.2 10.0 14.1 13.9 18.5 13.9 15.1 14.7

> Calculate the 3rd and 6th deciles of the accompanying data. 7 18 12 17 29 18 4 27 30 2 4 10 21 5 8

> Determine the first, second, and third quartiles of the following data. 10.5 14.7 15.3 17.7 15.9 12.2 10.0 14.1 13.9 18.5 13.9 15.1 14.7

> Find the first and second quintiles (20th and 40th percentiles) of the data shown here. 52 61 88 43 64 71 39 73 51 60

> For each of the following sampling plans, indicate why the target population and the sampled population are not the same. a. To determine the opinions and attitudes of customers who regularly shop at a particular mall, a surveyor stands outside a large d

> Find the third and eighth deciles (30th and 80th percentiles) of the following data set. 26 23 29 31 24 22 15 31 30 20

> Calculate the first, second, and third quartiles of the following sample. 5 8 2 9 5 3 7 4 2 7 4 10 4 3 5

> After analyzing the frequency with which cross-country skiers participate in their sport, a sportswriter created the following probability distribution for X = number of times per year cross-country skiers ski. Find the following. a. P(3) b. P(X â

> Determine the first, second, and third quartiles of the data shown next. 2 4 6 8 10 12 14 16 18 20

> Black Friday in the United States is the day after Thanksgiving. Many retailers offer doorcrasher specials to induce customers to shop at their stores. The number of door-crasher specials is limited. However, the sale price is so low that people who want

> Refer to Exercise 3.54. Use the U.S. CPI monthly file to measure the Dow Jones Industrial Average in 1982–1984 constant dollars. What have you learned? Data from Exercise 3.54: The Jones Industrial Average was recorded monthly (close) from 1950 to 2016.

> The Jones Industrial Average was recorded monthly (close) from 1950 to 2016. Use a graph to describe these numbers.

> The exchange rate of the Japanese Yen to one U.S. dollar was recorded monthly for the period 1971 to 2016. Draw a graph of these figures and interpret your findings.

> The exchange rate of the Canadian dollar to one U.S. dollar was recorded monthly for the period 1971 to 2016. Draw a graph of these figures and interpret your findings.

> The monthly value of U.S. exports to China (in $millions) and imports from China from 1985 to 2016 was recorded. a. Draw a line chart of U.S. exports to China. b. Draw a line chart of U.S. imports from China. c. Calculate the trade balance and draw a lin

> The monthly value of U.S. exports to Japan (in $millions) and imports from Japan from 1985 to 2016 was recorded. a. Draw a line chart of U.S. exports to Japan. b. Draw a line chart of U.S. imports from Japan. c. Calculate the trade balance and draw a lin

> List five important points to consider when designing a questionnaire.

> The monthly value of U.S. exports to Canada (in $millions) and imports from Canada from 1985 to 2016 was recorded. a. Draw a line chart of U.S. exports to Canada. b. Draw a line chart of U.S. imports from Canada. c. Calculate the trade balance and draw a

> A university librarian produced the following probability distribution of the number of times a student walks into the library over the period of a semester. Find the following probabilities. a. P(X ≥ 20) b. P(X = 60) c. P(X > 50) d.

> A sample of households was asked to report the amount of money they spend annually for fruits and vegetables. Compute the mean and standard deviation of these data. What do these statistics tell you about the distribution of the amounts?

> A random sample of homeowners was asked to report the amount of money they paid in property taxes last year. Compute the mean and standard deviation. Assuming that the amounts are highly positively skewed describe what the two statistics tell you.

> An amateur golf kept track of the scores of her last 100 rounds. Calculate the mean and standard deviation. Assuming that the distribution of scores is extremely skewed interpret the mean and standard deviation.

> Flight delays in airplane travel is a fact of life for travelers. Suppose that the time for each of a sample of 125 delays in arriving (in minutes) was recorded. Early arrivals are shown as negative numbers and on-time arrivals are represented by zeroes.

> Everyone is familiar with waiting lines or queues. For example, people wait in line at a supermarket to go through the checkout counter. There are two factors that determine how long the queue becomes. One is the speed of service. The other is the number

> To learn more about the size of withdrawals at a banking machine, the proprietor took a sample of 75 withdrawals and recorded the amounts. Determine the mean and standard deviation of these data, and describe what these two statistics tell you about the

> Variance is often used to measure the quality in production-line products. Suppose that a sample of steel rods that are supposed to be exactly 100 cm long is taken. The length of each is determined, and the results are recorded. Calculate the variance an

> Three men are trying to make the football team as punters. The coach had each of them punt the ball 50 times, and the distances were recorded. a. Compute the variance and standard deviation for each punter. b. What do these statistics tell you about the

> Many traffic experts argue that the most important factor in accidents is not the average speed of cars but the amount of variation. Suppose that the speeds of a sample of 200 cars were taken over a stretch of highway that has seen numerous accidents. Co

> a. List three methods of conducting a survey of people. b. Give an important advantage and disadvantage of each of the methods listed in part (a).

> A survey of Amazon.com shoppers reveals the following probability distribution of the number of books purchased per hit. a. What is the probability that an Amazon.com visitor will buy four books? b. What is the probability that an Amazon.com visitor wil

> There has been much media coverage of the high cost of medicinal drugs in the United States. One concern is the large variation from pharmacy to pharmacy. To investigate, a consumer advocacy group took a random sample of 100 pharmacies around the country

> A statistics practitioner determined that the mean and standard deviation of a data set were 120 and 30, respectively. What can you say about the proportions of observations that lie between each of the following intervals? a. 90 and 150 b. 60 and 180 c.

> A set of data whose histogram is extremely skewed yields a mean and standard deviation of 70 and 12, respectively. What is the minimum proportion of observations that a. are between 46 and 94? b. are between 34 and 106?

> Refer to Exercise 4.35. Approximately what proportion of observations a. are less than 46? b. are less than 58? c. are greater than 54? Data from Exercise 4.35: A set of data whose histogram is bell shaped yields a mean and standard deviation of 50 and 4

> A set of data whose histogram is bell shaped yields a mean and standard deviation of 50 and 4, respectively. Approximately what proportion of observations a. are between 46 and 54? b. are between 42 and 58? c. are between 38 and 62?

> Create a sample of five observations whose mean is 6 and whose standard deviation is 0.

> A friend calculates a variance and reports that it is –25.0. How do you know that he has made a calculation error?

> Refer to Exercise 4.31. Calculate the variance for each part. Was your answer in Exercise 4.31 correct? Data from Exercise 4.31: a. 17 b. 22 29 12 16 11 18 23 20 17 C. 24 37 6. 39 29

> Examine the three samples listed here. Without performing any calculations, indicate which sample has the largest amount of variation and which sample has the smallest amount of variation. Explain how you produced your answer. a. 17 b. 22 29 12 16 11

> Find the variance and standard deviation of the following sample. 0 −5 −3 6 4 −4 1 −5 0 3

> a. Briefly describe how you might design a study to investigate the relationship between smoking and lung cancer. b. Is your study in part (a) observational or experimental? Explain why.

> Determine the variance and standard deviation of the following sample. 12 6 22 21 23 13 15 17 21

> Calculate the variance of the following sample. 4 5 3 6 5 6 5 6

> Calculate the variance of the following sample. 9 3 7 4 1 7 5 4

> How much television were American adults watching in 2014 (TVHOURS)? Produce a histogram to help answer the question.

> How well were Americans doing financially in 2014. Draw a histogram of respondents’ incomes (RINCOME). Describe the shape.

> How educated were American adults in 2014? Draw a histogram to help provide a graphical answer (EDUC).

> Draw a histogram of the ages (AGE) of the respondents. What information do you draw from the histogram?

> The number of books shipped out daily by Amazon.com was recorded for 100 days. Draw a histogram and describe your findings.

> The volume of water used by each of a sample of 350 households was measured (in gallons) and recorded. Use a suitable graphical statistical method to summarize the data. What does the graph tell you?

> Refer to Exercise 7.23. Suppose that each game costs the player 25 cents. Use the laws of expected value and variance to determine the expected value and variance of the amount of money the arcade takes in. Data from Exercise 7.23: Determine the mean and

> Each of a sample of 240 tomatoes grown with a new type of fertilizer was weighed (in ounces) and recorded. Draw a histogram and describe your findings.

> A soft drink manufacturer has been supplying its cola drink in bottles to grocery stores and in cans to small convenience stores. The company is analyzing sales of this cola drink to determine which type of packaging is preferred by consumers. a. Is this

> Is it possible for a sample to yield better results than a census? Explain.

> Briefly describe three types of nonsampling error.

> a. Explain the difference between sampling error and nonsampling error. b. Which type of error in part (a) is more serious? Why?

> A statistics practitioner wants to estimate the mean age of children in his city. Unfortunately, he does not have a complete list of households. Describe a sampling plan that would be suitable for his purposes.

> The operations manager of a large plant with four departments wants to estimate the person-hours lost per month from accidents. Describe a sampling plan that would be suitable for estimating the plantwide loss and for comparing departments.

> A telemarketing firm has recorded the households that have purchased one or more of the company’s products. These number in the millions. The firm would like to conduct a survey of purchasers to acquire information about their attitude concerning the tim

> A large university campus has 60,000 students. The president of the students’ association wants to conduct a survey of the students to determine their views on an increase in the student activity fee. She would like to acquire information about all the s

> Monthly returns for the Toronto Stock Exchange Index and the following selected stocks on the Toronto Stock Exchange were recorded for the years 2011 to 2015: Rogers Communication (RCI.B) and Telus (T) Calculate the beta coefficient and the coefficient o

> Refer to Exercise 7.22. Determine the mean and variance of the number of games played. Data from Exercise 7.22: After watching a number of children playing games at a video arcade, a statistics practitioner estimated the following probability distributio

> Monthly returns for the Toronto Stock Exchange Index and the following selected stocks on the Toronto Stock Exchange were recorded for the years 2011 to 2015: Encana (ECA), Enbridge (ENB), and Suncor Energy (SU) Calculate the beta coefficient and the coe

> Monthly returns for the Toronto Stock Exchange Index and the following selected stocks on the Toronto Stock Exchange were recorded for the years 2011 to 2015: Bank of Montreal (BMO), Bank of Nova Scotia (BNS), and Royal Bank of Canada (RY) Calculate the

> Monthly returns for the Toronto Stock Exchange Index and the following selected stocks on the Toronto Stock Exchange were recorded for the years 2011 to 2015: Telus (T) Determine the average beta coefficient for the stocks in the listed portfolio. Calcul

> Monthly returns for the Toronto Stock Exchange Index and the following selected stocks on the Toronto Stock Exchange were recorded for the years 2011 to 2015: Enbridge (ENB) Calculate the beta coefficient and the coefficient of determination for the list

> Monthly returns for the Toronto Stock Exchange Index and the following selected stocks on the Toronto Stock Exchange were recorded for the years 2011 to 2015: Barrick Gold (ABX) Calculate the beta coefficient and the coefficient of determination for the

> We have recorded the monthly returns for the S&P 500 index and the following 26 of the 30 Dow Jones Industrials stocks listed on the New York Stock Exchange (The other four are on the NASDAQ.) for the period January 2011– December 2015. Merck (MRK), Pfiz

> We have recorded the monthly returns for the S&P 500 index and the following 26 of the 30 Dow Jones Industrials stocks listed on the New York Stock Exchange (The other four are on the NASDAQ.) for the period January 2011– December 2015. Travelers (TRV),

> We have recorded the monthly returns for the S&P 500 index and the following 26 of the 30 Dow Jones Industrials stocks listed on the New York Stock Exchange (The other four are on the NASDAQ.) for the period January 2011– December 2015. Boeing (BA), Cate

> We have recorded the monthly returns for the S&P 500 index and the following 26 of the 30 Dow Jones Industrials stocks listed on the New York Stock Exchange (The other four are on the NASDAQ.) for the period January 2011– December 2015. Visa (V) For the

> We have recorded the monthly returns for the S&P 500 index and the following 26 of the 30 Dow Jones Industrials stocks listed on the New York Stock Exchange (The other four are on the NASDAQ.) for the period January 2011– December 2015. Nike (NKE) For th

> After watching a number of children playing games at a video arcade, a statistics practitioner estimated the following probability distribution of X, the number of games per visit. a. What is the probability that a child will play more than four games?

> We have recorded the monthly returns for the S&P 500 index and the following 26 of the 30 Dow Jones Industrials stocks listed on the New York Stock Exchange (The other four are on the NASDAQ.) for the period January 2011– December 2015. Home Depot (HD) F

> We have recorded the monthly returns for the S&P 500 index and the following 26 of the 30 Dow Jones Industrials stocks listed on the New York Stock Exchange (The other four are on the NASDAQ.) for the period January 2011– December 2015. General Electric

> We have recorded the monthly returns for the S&P 500 index and the following 26 of the 30 Dow Jones Industrials stocks listed on the New York Stock Exchange (The other four are on the NASDAQ.) for the period January 2011– December 2015. American Express

> We have recorded the monthly returns for the S&P 500 index and the following 26 of the 30 Dow Jones Industrials stocks listed on the New York Stock Exchange (The other four are on the NASDAQ.) for the period January 2011– December 2015. McDonald’s (MCD)

> Repeat Exercise 4.109 for the 2012–2013 National Hockey league season. Data from Exercise 4.109: We recorded the number of wins, team payrolls, home attendance, and away attendance for the 2015–2016 National Hockey League season. a. Estimate the marginal

> A statistics practitioner would like to conduct a survey to ask people their views on a proposed new shopping mall in their community. According to the latest census, there are 500 households in the community. The statistician has numbered each household

> We recorded the number of wins, team payrolls, home attendance, and away attendance for the 2015–2016 National Hockey League season. a. Estimate the marginal cost of winning one more game. b. Estimate the marginal number of tickets sold for each addition

> Repeat Exercise 4.107 for the 2012–2013 National Football League season Data from Exercise 4.107: The number of wins, team payrolls, home attendance, and away attendance were recorded for the 2015–2016 National Football League season. a. Estimate the mar

> The number of wins, team payrolls, home attendance, and away attendance were recorded for the 2015–2016 National Football League season. a. Estimate the marginal cost of winning one more game. b. Estimate the marginal number of tickets sold for each addi

> Repeat Exercise 4.105 for the 2012–2013 National Basketball Association season. Data from Exercise 4.105: The number of wins, team payrolls, home attendance, and away attendance were recorded for the 2015–2016 National Basketball Association season. a. C

> Refer to Exercise 7.20. If the pizzeria makes a profit of $3 per pizza, determine the mean and variance of the profits per student. Data from Exercise 7.20: The number of pizzas delivered to university students each month is a random variable with the fo

> The number of wins, team payrolls, home attendance, and away attendance were recorded for the 2015–2016 National Basketball Association season. a. Conduct an analysis to determine the marginal cost of winning one more game. b. Analyze the relationship be

> Repeat Exercise 4.102 for the 2012 baseball season. Data from Exercise 4.102: The practitioner also recorded the average away attendance for each team in the 2015 season. Since visiting teams take a share of the gate, owners should be interested in this

> Repeat Exercise 4.101 for the 2012 baseball season. Data from Exercise 4.101: The chapter-opening example showed that there is a very weak linear relationship between a baseball teams’ payroll and the number of wins. This raises the question: Are success

> Refer to Exercise 4.101. The practitioner also recorded the average away attendance for each team in the 2015 season. Since visiting teams take a share of the gate, owners should be interested in this analysis. a. Are visiting team attendance related to

> The chapter-opening example showed that there is a very weak linear relationship between a baseball teams’ payroll and the number of wins. This raises the question: Are success on the field and attendance related? If the answer is no, then profit-driven

> The U.S.–Canada exchange rate has fluctuated over the past 45 years. Can any single commodity explain these fluctuations? Is it oil, for example? Canada sells a lot of oil to the United States. It may be lumber or gold. A statistician set out to investig

> Suppose your statistics professor distributes a questionnaire about the course. One of the questions asks, “Would you recommend this course to a friend?” Can the professor use the results to infer something about all statistics courses? Explain.

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