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Energy Statistics A Guide To Information Sources 1st Edition Sarojini Balachandran - Solutions
52. A consumer watchdog organization is concerned about credit card debt. A survey of 10 young adults with credit card debt of more than $2000 showed they paid an average of just over $100 per month against their balances. Listed below are the amounts each young adult paid last month: $110 126 103
51. The provincial Motel Owner Association conducted a survey regarding weekday motel rates in the northern part of the province. Listed below is the room rate for fishermen for a sample of 10 motels: $101 97 103 110 78 87 101 80 106 88
50. The sample of eight companies in the aerospace industry was surveyed as to their return on investment last year. The results are: 10.6, 12.6, 14.8, 18.2, 12.0, 14.8, 12.2, and 15.6.
49. Dave’s Automatic Door, referred to in Exercise 37, installs automatic garage door openers. Based on a sample, following are the times, in minutes, required to install 10 doors: 28, 32, 24, 46, 44, 40, 54, 38, 32, and 42.
48. The following five values are a sample: 11, 6, 10, 6, and 7.
47. Consider these values a sample: 7, 2, 6, 2, and 3.
46. The annual incomes of the five vice-presidents of TMV Industries are: $125 000; $128 000; $122 000; $133 000; and $140 000. Consider this a population.a. What is the range?b. What is the arithmetic mean income?c. What is the population variance? The standard deviation?d. The annual incomes of
45. Plywood Inc. reported these returns on stockholder equity for the past five years: 4.3, 4.9, 7.2, 6.7, and 11.6. Consider these as population values.a. Compute the range, the arithmetic mean, the variance, and the standard deviation.b. Compare the return on stockholder equity for Plywood Inc.
44. Referring to Exercise 43, the annual report of Dennis Industries also gave these returns on stockholder equity for the same five-year period (in percent): 13.2, 5.0, 10.2, 17.5, and 12.9.a. What is the arithmetic mean return?b. What is the variance?
43. The annual report of Dennis Industries cited these primary earnings per common share for the past five years: $2.68, $1.03, $2.26, $4.30, and $3.58. If we assume these are population values, what is:a. The arithmetic mean primary earnings per share of common stock?b. The variance?
42. Consider these six values a population: 13, 3, 8, 10, 8, and 6.a. Determine the mean of the population.b. Determine the variance.
41. Consider these five values a population: 8, 3, 7, 3, and 4.a. Determine the mean of the population.b. Determine the variance.
40. A sample of the personnel files of eight sales employees at the Clean Carpet Company revealed that during the last six-month period they lost the following number of days due to illness: 2 0 6 3 10 4 1 2 A sample of eight warehouse employees of the same company during the same period revealed
39. Ten randomly selected young adults living in British Columbia rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a scale of 1 to 50, with 1 indicating they did not like the taste and 50 that they did. The ratings were: 34 39 40 46 33 31 34 14 15 45 In a
38. A sample of eight companies in the aerospace industry was surveyed as to their return on investment last year. The results are (in percent): 10.6, 12.6, 14.8, 18.2, 12.0, 14.8, 12.2, and 15.6.
37. Dave’s Automatic Door installs automatic garage door openers. The following list indicates the number of minutes needed to install a sample of 10 doors: 28, 32, 24, 46, 44, 40, 54, 38, 32, and 42.
36. The Business School at a local college offers eight sections of basic statistics. Following are the number of students enrolled in these sections: 34, 46, 52, 29, 41, 38, 36, and 28.
35. There were five customer service representatives on duty at the Electronic Super Store during last Friday’s sale. The number of HDTVs these representatives sold are: 5, 8, 4, 10, and 3.
34. The average tuition fees for dentistry in Canada increased from $7863 for the 1999–2000 academic year to $17 324 in the 2013–2014 academic year. What was the geometric mean annual increase for the period? (statcan.gc.ca/daily-quotidien/130912/dq130912b-eng.htm)
33. In 2008, there were 42 million pager subscribers. By 2013, the number of subscribers increased to 70 million. What is the geometric mean annual increase for the period?
32. Gas prices in St. John’s, Newfoundland, have increased from 64.1 cents per litre for regular unleaded in 1990 to 129.6 cents per litre in 2013. What was the geometric mean annual increase for the period? (www40.statcan.gc.ca/l01/cst01/perecon154a-eng.htm)
31. The population of Canada has increased from 21 961 999 in 1971 to an estimated 35 295 770 in 2013. What was the geometric mean annual increase for the period? (statcan.gc.ca/start-debuteng.html)
30. In 2003, the consumer price index (CPI) for Canada was 102.8, but in 2013, the CPI was 122.8. What was the geometric mean annual increase for the period? (See Connect for the data set.)
29. Listed below is the percentage increase in sales for the MG Corporation over the last five years. Determine the geometric mean percentage increase in sales over the period. 9.4 13.8 11.7 11.9 14.7
28. Compute the geometric mean of the following percentage increases: 2, 8, 6, 4, 10, 6, 8, and 4.
27. Compute the geometric mean of the following percentage increases: 8, 12, 14, 26, and 5.
26. Big Orange Trucking is designing an information system for use in “in-cab” communications. It must summarize data from eight sites throughout a region to describe typical conditions. Compute an appropriate measure of central location for each of the three variables shown in the table
25. The number of minutes that it takes an auditor to process an invoice is given in the table below: 7.8 8.2 7.6 7.2 6.6 6.6 6.1 5.8 5.9 5.7 6.3 6.8a. What is the arithmetic mean of processing time?b. Find the median and mode of the processing times.c. Are the data symmetric, positively skewed, or
24. The demand for video games has exploded in the last several years. So, the owner of Matt Videos needs to hire several new technical people to keep up with the demand. Matt Videos gives each applicant a special test, designed by Dr. McGraw, who believes that the result of the test is closely
23. An accounting firm specializes in income tax returns for self-employed professionals, such as doctors, dentists, architects, and lawyers. The firm employs 11 accountants who prepare the returns. For last year, the number of returns prepared by each accountant was: 58 75 31 58 46 65 60 71 45 58
22. Listed below is the number of hours that a sample of students spent travelling to college each week. What is the median number of hours spent travelling per week? What is the mode? 9.0 8.5 8.0 9.1 10.3 11.0 11.5 10.3 10.5 9.8 9.3 8.2 8.2 8.5
21. Listed below is the average earnings ratio by gender for full-year, full-time workers from 2002 to 2011: (Source: Adapted from Statistics Canada. Go to Connect for complete file.) Year Women Men Earnings Ratio (%) 2002 29 300 46 700 62.8 2003 29 000 46 000 62.9 2004 29 400 46 200 63.5 2005 30
20. The following are the ages of the 10 people in the video arcade at the shopping mall at 10 a.m.: 12 8 17 6 11 14 8 17 10 8
19. The following is the percentage change in net income from last year to this year for a sample of 12 construction companies in Benton: 5 1 -10 -6 5 12 7 8 2 5 -1 11
18. The following is the number of oil changes for the last seven days at the Jiffy Lube located at the corner of Elm Street and Fortson Avenue: 41 15 39 54 31 15 33
17. What would you report as the modal value for a set of observations if there were a total of:a. 10 observations and no two values were the same?b. 6 observations and they were all the same?c. 6 observations and the values were 1, 2, 3, 3, 4, and 4? For Exercises 18–20, (a) determine the median
16. Andrews and Associates specialize in corporate law. They charge $100 per hour for researching a case, $75 per hour for consultations, and $200 per hour for writing a brief. Last week, one of the associates spent 10 hours consulting with her client, 10 hours researching the case, and 20 hours
15. The Loris Healthcare System employs 200 persons on the nursing staff. Fifty are nurse’s aides, 50 are practical nurses, and 100 are registered nurses. Nurse’s aides receive $16 per hour, practical nurses $20 per hour, and registered nurses $28 per hour. What is the weighted mean hourly wage?
14. The Bookstall Inc. is a specialty bookstore concentrating on used books sold via the Internet. Paperbacks are $1 each, and hardcover books are $3.50. Of the 50 books sold last Tuesday morning, 40 were paperback, and the rest were hardcover. What was the weighted mean price of a book?
13. In June, an investor purchased 300 shares of Oracle stock (an information technology company) at $20 per share. In August, she purchased an additional 400 shares at $25 per share. In November, she purchased an additional 400 shares, but the stock declined to $23 per share. What is the weighted
12. A pharmaceutical company hires business administration graduates to sell its products. The company is growing rapidly and dedicates only one day of sales training for new salespeople. The company’s goal for new salespeople is $10 000 in sales per month. The goal is based on the current mean
11. AAA Heating and Air Conditioning completed 30 jobs last month with a mean revenue of $5430 per job. The president wants to know the total revenue for the month. On the basis of the limited information, can you compute the total revenue? What is it?
10. The Human Resources Director at DuPont began a study of the overtime hours in the Inspection Department. A sample of 15 workers was selected at random, and records showed they worked the following number of overtime hours last month: 13 13 12 15 7 15 5 12 6 7 12 10 9 13 12
9. The Cambridge Power and Light Company selected 20 residential customers at random. Following are the amounts, to the nearest dollar, the customers were charged for electrical service last month: $54 48 58 50 25 47 75 46 60 70 67 68 39 35 56 66 33 62 65 67
8. The accounting department at a mail-order company counted the following number of incoming calls per day to the company’s toll-free number during the first seven days in May: 14, 24, 19, 31, 36, 26, 17.
7. There are 10 salespeople employed by Midtown Ford. The number of new cars sold last month by the respective salespeople was: 15, 23, 4, 19, 18, 10, 10, 8, 28, 19.
6. Compute the mean hourly wage paid to carpenters who earned the following wages: $15.40, $20.10, $18.75, $22.76, $30.67, $18.00. For Exercises 7–10, (a) compute the arithmetic mean and (b) indicate whether it is a statistic or a parameter.
5. Compute the mean of the following sample values: 16.25, 12.91, 14.58.
4.a. Compute the mean of the following sample values: 1.3, 7.0, 3.6, 4.1, 5.0.b. Show that ©(X − X) = 0.
3.a. Compute the mean of the following sample values: 5, 9, 4, 10.b. Show that ©(X − X) = 0.
2. Compute the mean of the following population values: 7, 5, 7, 3, 7, 4.
1. Compute the mean of the following population values: 6, 3, 5, 7, 6.
8. MegaStat steps to create the stem-and-leaf chart are as follows:a. Open Excel and from Connect, select Data Files, Tables and select Table 2–11.b. Click MegaStat, Descriptive Statistics, and select Stem and Leaf Plot. In the dialog box, enter the data range from A1:A46 and select OK. The
7. MegaStat steps to create the cumulative frequency diagram (more-than) are as follows:a. Open Excel and from Connect, select Data Files, Tables, and select Table 2–4.b. Click MegaStat, Frequency Distributions, and select Quantitative.c. In the dialog box, input the data range from A3:A70,
6. MegaStat steps to create the cumulative frequency diagram (less-than) are as follows:a. Open Excel and from Connect, select Data Files, Tables, and select Table 2–4.b. Click MegaStat, Frequency Distributions, and select Quantitative.c. In the dialog box, input the data range from A3:A70,
5. MegaStat steps to create the frequency polygon are as follows:a. Open Excel and from Connect, select Data Files, Tables, and select Table 2–4.b. Click MegaStat, Frequency Distributions, and select Quantitative.c. In the dialog box, input the data range from A3:A70, select Equal width
4. MegaStat steps to create the histogram are as follows:a. Open Excel and from Connect, select Data Files, Tables, and select Table 2–4.b. Click MegaStat, Frequency Distribution, and select Quantitative.c. In the dialog box, input the data range from A3:A70, select Equal width intervals, use
3. MegaStat steps to create the frequency distribution are as follows:a. Open Excel and from Connect, select Data Files, Tables, and select Table 2–4.b. Click MegaStat, Frequency Distributions, and select Quantitative.c. In the dialog box, input the data range from A3:A70, select Equal width
2. Excel steps to create the pie chart are as follows:a. Enter the data as shown in Table 2–3. Select the Percentage Share (%) data.b. From the toolbar, select INSERT. From the Charts subgroup, select Insert Pie and a sub-type. Click the Chart Title to edit it.c. To add the percentages, right
1. Excel steps to create the bar chart are as follows:a. Open Excel and from Connect, select Data Files, Tables, and select Table 2–1.b. In cell B76, enter the label Type. In cells B77:B79, enter the labels Apartment, House, and Row/Townhouse. In cell C76, enter the label Number of Listings. In
10. A cumulative frequency polygon is created by line segments connecting the and the corresponding cumulative frequencies.
9. In a relative frequency distribution, the class frequencies are divided by .
8. The average of the respective class limits of two consecutive classes is the .
6. A set of data contained 70 observations. How many classes would you suggest to construct a frequency distribution? 7. The distance between successive lower class limits is called the .
5. A graph in which the classes of a quantitative data set are marked on the horizontal axis and the class frequencies on the vertical axis is called a .
4. A chart shows the proportion or percentage that each class represents of the total.
3. A graph in which the classes for qualitative data are reported on the horizontal axis and the class frequencies (proportional to the heights of the bars) on the vertical axis is called .
2. A grouping of quantitative data into mutually exclusive classes showing the number of observations in each class is known as a .
1. A grouping of qualitative data into mutually exclusive classes showing the number of observations in each class is known as a .
65. Refer to the Real Estate data for the Halifax area, on Connect, which include information on home listings.a. Organize the information on the total square feet into a frequency distribution. Select an appropriate class interval. 1. What is a typical size? What is the range of square footage? 2.
64. Refer to the Real Estate data for the Rockland area, on Connect, which include information on home listings.a. Select an appropriate class interval and organize the list prices into a frequency distribution. 1. Around what values do the data tend to cluster? 2. What is the largest list price?
63. Bidwell Electronics Inc. recently surveyed a sample of employees to determine how far they lived from corporate headquarters. The results are shown below: Distance (km) Number 0 to under 5 4 5 to under 10 15 10 to under 15 27 15 to under 20 18 20 to under 25 6a. Construct a less-than
62. Use the above histogram to answer the following questions:a. What is the total number of observations?b. What is the class interval?c. What is the relative frequency of the third class?d. What percentage of observations had profits between $2200 and $3000?e. In a frequency polygon, what would
61. Two thousand frequent business travelers are asked which western city they prefer: Vancouver, Calgary, Edmonton, or Saskatoon. One hundred liked Vancouver best, 450 liked Calgary, 1300 liked Edmonton, and the remainder preferred Saskatoon. Develop a frequency table and a relative frequency
60. The number of families who used the College’s day care service was recorded during a 30-day period. The results are as follows: 31 49 19 62 24 45 23 51 55 60 40 35 54 26 57 37 43 65 18 41 50 56 4 54 39 52 35 51 63 42a. Construct a less-than cumulative frequency distribution.b. Sketch a graph
59. A total of 42 students wrote the first test in statistics 101. Three students achieved a grade over 90%; 12 students were between 80 and 89; 16 students between 70 and 79; 8 between 60 and 69 and the rest achieved grades that were below 60. Develop a pie chart or a bar chart showing the
58. Newcastle Inc. reported a total of $69.5 billion in sales revenue. Seventy-three percent of the total was paid out for operating expenses, 11% in dividends, 3% in interest, 8% profit, and 5% in a sinking fund to be used for future capital equipment. Develop a pie chart for the data. Write a
57. The monthly issues of the Journal of Finance are available on the Internet. The table below shows the number of times an issue was downloaded over the last 33 months. Suppose that you wish to summarize the number of downloads with a frequency distribution. 312 2753 2595 6057 7624 6624 6362 6575
56. You are exploring the music in your iTunes library. The total play counts over the past year for the songs on your “smart playlist” are shown below. Make a frequency distribution of the counts and describe its shape. It is often claimed that a small fraction of a person’s songs will
55. A social scientist is studying the use of iPods by college students. A sample of 45 students revealed they played the following number of songs yesterday: 46 8 79 6 3 7 7 6 7 1 4 7 7 4 6 4 10 2 4 6 3 4 6 8 4 3 3 6 8 8 4 6 4 6 5 5 9 6 8 8 6 5 10 Organize the above information into a frequency
54. Speedy Swift is a package delivery service that serves several urban areas. To maintain customer loyalty, one of Speedy Swift’s performance objectives is on-time delivery. To monitor its performance, each delivery is measured on the following scale: early (package delivered before the
53. David Wise handles his own investment portfolio and has done so for many years. Listed below is the holding time (rounded to the whole year) between purchase and sale for his collection of stocks: 8 8 6 11 11 9 8 5 11 4 8 5 14 7 12 8 6 11 9 7 9 15 8 8 12 5 9 8 5 9 10 11 3 9 8 6a. How many
52. One of the most popular candies in North America is M&M’s, which are produced by the Mars Company. For many years, M&M’s plain candies were produced in six colours: red, green, orange, tan, brown, and yellow. Recently, tan was replaced by blue. Did you ever wonder how many candies were in a
51. A large pharmaceutical company with distribution centres in Canada and the United States has its call centre located in Mississauga, Ontario. There are 20 customer service representatives answering calls from 8 a.m. to 9 p.m. through the week, and from 9 a.m. to 5 p.m. on Saturdays. The call
50. The number of Olympic medals won by Canada in the last five Winter games is listed below. Develop an appropriate chart or graph, and write a brief report summarizing the information. Year Number of Medals 2014 25 2010 26 2006 24 2002 17 1998 15
49. The following table shows the average weekly earnings of workers in Canada. Develop an appropriate chart to summarize the findings. The complete data set can be found on Connect “Average Weekly Earnings.” Year Average Earnings ($) 2008 742.69 2009 770.30 2010 787.37 2011 808.69 2012 816.48
48. The Consumer Price Index increases from 2006 to 2013 (base year 2002 = 100) is shown in the following table. Construct a bar chart to depict the information (statcan.gc.ca/tables-tableaux/sum-som/l01/cst01/ econ161a-eng.htm). Year CPI 2013 122.8 2012 121.7 2011 119.9 2010 116.5 2009 114.4 2008
47. The business school at the local college reported the following percentage breakdown of expenses. Draw a pie chart showing the information. Category Percentage (%) Professional development 32.3% Equipment 23.5 Mileage 12.6 PAC meetings 12.1 Office supplies 10.9 Other 8.6
46. The following table displays the average retail price of gasoline in January in cents per litre, in St. John’s, Newfoundland, over the last five years. Develop a bar chart depicting this information (statcan.gc.ca/ tables-tableaux/ sum-som/l01/cst01/econ154a-eng.htm). Year 2010 2011 2012
45. Merrill Lynch recently completed a study of online investment portfolios for a sample of clients. The values of all the investments in thousands of dollars for the 70 participants in the study are listed below: $669.9 7.5 77.2 7.5 125.7 516.9 219.9 645.2 301.9 235.4 716.4 145.3 26.6 187.2 315.5
44. A recent study of home technologies reported the number of hours of personal computer usage per week for a sample of 60 persons. People who worked out of their home and used the computer as a part of their work were excluded from the study. 9.3 5.3 6.3 8.8 6.5 0.6 5.2 6.6 9.3 4.3 6.3 2.1 2.7
43. A recent survey showed that a typical car owner spends $3487 per year on operating expenses. A breakdown of the various expenditure items is given below. Construct an appropriate chart to portray the data and summarize your findings in a report. Expenditures Amount ($) Fuel $ 603 Interest on
42. The Saskatoon Credit Union selected a sample of 40 student chequing accounts. Below are their end-of-themonth balances, in dollars: $404 74 234 149 279 215 123 55 43 321 87 234 68 489 57 185 141 758 72 863 703 125 350 440 37 252 27 521 302 127 968 712 503 489 327 608 358 425 303 203a. Tally
41. A chain of sport shops catering to beginning skiers, headquartered in Whistler, British Columbia, plans to conduct a study of how much a beginning skier spends on his or her initial purchase of equipment and supplies. On the basis of these figures, they want to explore the possibility of
40. The following chart summarizes the selling price of homes sold last month: a. What is the chart called?b. How many homes were sold during the last month?c. What is the class interval?d. About 75% of the houses sold for less than what amount?e. One hundred seventy-five of the homes sold for
39. The following histogram shows the scores on the first statistics exam:a. How many students took the exam?b. What is the class interval?c. What is the class midpoint for the first class?d. How many students earned a score of less than 70? Frequency 15 225050 10 3 14 21 12 6 50 60 70 80 90 100
38. The following stem-and-leaf display reports the number of orders received per day by a mail-order firm: 91 10 2 11 2 3 5 12 6 9 13 2 14 1 3 5 15 1 2 2 9 16 2 2 6 6 7 7 8 17 0 1 5 9 9 18 0 0 0 1 3 3 4 6 7 9 9 19 0 3 3 4 6 20 4 6 7 9 21 0 1 7 7 22 4 5 23 1 7a. How many days were studied?b. How
37. The following stem-and-leaf display shows the number of minutes of daytime TV viewing for a sample of college students: 0 0 5 10 2 1 3 7 3 0 0 2 9 4 4 9 9 5 0 0 1 5 5 6 6 7 7 9 9 6 0 2 3 4 6 8 7 1 3 6 6 7 8 9 8 0 1 5 5 8 9 1 1 2 2 3 7 9 10 0 2 2 3 6 7 8 9 9 11 2 4 5 7 12 4 6 6 8 13 2 4 9 14
36. The following data give the weekly amounts spent on groceries for a sample of households: $271 363 159 76 227 337 295 319 250 279 205 279 266 199 177 162 232 303 192 181 321 309 246 278 50 41 335 116 100 151 240 474 297 170 188 320 429 294 570 342 279 235 434 123 325a. How many classes would
35. The following is the number of minutes to commute from home to work for a group of automobile executives: 28 25 48 37 41 19 32 26 16 23 23 29 36 31 26 21 32 25 31 43 35 42 38 33 28a. How many classes would you recommend?b. What class interval would you suggest?c. What would you recommend as the
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