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Energy Statistics A Guide To Information Sources 1st Edition Sarojini Balachandran - Solutions

8. A sample of 2000 licensed drivers revealed the following number of speeding violations: Number of Violations Number of Drivers 0 1910 1 46 2 18 3 12 4 9 5 or more 5 Total 2000a. What is the experiment?b. List one possible event.c. What is the probability that a particular driver had exactly two
7. A sample of 40 executives in the oil industry were selected to answer a questionnaire. One question about environmental issues required a yes-or-no answer.a. What is the experiment?b. List one possible event.c. Ten of the 40 executives responded “yes.” Based on these sample responses, what
6. A firm will promote two employees out of a group of six men and three women.a. List the outcomes of this experiment if there is particular concern about gender equity.b. Which concept of probability would you use to estimate these probabilities?
5. In each of the following cases, indicate whether classical, empirical, or subjective probability is used.a. A basketball player makes 30 out of 50 free throws. The probability is 0.6 that she makes the next free throw attempted.b. A seven-member committee of students is formed to study
4. A large company that must hire a new president prepares a final list of five candidates, all of whom are equally qualified. Two of these candidates are female. The company decides to select the president by lottery.a. What is the probability one of the female candidates is hired?b. Which
3. A survey of 34 students at a business school showed the following majors: Accounting 10 Finance 5 E-Commerce 3 Management 6 Marketing 10 Suppose that you select a student and observe his or her major.a. What is the probability he or she is a management major?b. Which concept of probability did
2. A quality control inspector selects a part to be tested. The part is then declared acceptable, repairable, or scrapped. Then another part is tested. List the possible outcomes of this experiment regarding two parts.
1. Some people are in favour of reducing federal taxes to increase consumer spending, and others are against it. Two persons are selected, and their opinions are recorded. Assuming that no one is undecided, list the possible outcomes.
5. MegaStat steps to find the coefficient of skewness are:a. Click MegaStat, Descriptive Statistics. Enter the Input range.b. Check the box Skewness, kurtosis, CV. Click OK.c. The output will appear in the Output sheet.
4. Excel steps to find the coefficient of skewness are:a. Select Insert Function. From the Or select a category list, select Statistical.b. In the Select a function list, select SKEW or PEARSON, and click OK.c. Enter the range in the Array1 box. Click OK.
3. MegaStat steps to find descriptive statistics and the box plot are:a. From Connect, select Data Files and Table 2-1: Orleans Real Estate Listings.b. Click MegaStat, Descriptive Statistics. The Input range is the range of list prices. Note the checks in the first three boxes—these are the
2. Excel steps to find descriptive statistics are:a. From Connect, select Data Files and Table 2-1: Orleans Real Estate Listings.b. From the menu bar select DATA and Data Analysis. Select Descriptive Statistics, and then click OK.c. The Input Range is the range of the data list prices; check that
1. Excel functions to find descriptive statistics are:a. Select Insert Function, and from the Or select a category list, select Statistical.b. In the Select a function list, click AVERAGE, and click OK.c. Enter the range in the Number1 box. Click OK. • For the median, use MEDIAN. • For the
4. The market capitalization at the end of the most recent fiscal year for 11 companies in the property and casualty insurance industry is (in millions of dollars): 15 17 23 26 27 35 72 88 91 98 102a. Determine the median.b. Compute the first quartile.c. Find the 75th percentile.d. Make a box plot
3. After the Government of Ontario raised the taxes on cigarettes, a survey of 50 students was taken to see if the increased taxes would affect the amount that they spent on cigarettes. The estimated mean amount for the change per week was a decrease of $20.88. That indicates that the students
2. An investor purchased 200 shares of the Blair Company for $36 each in July of 2014, 300 shares at $40 each in September 2014, and 500 shares at $50 each in January 2014. What is the investor’s weighted mean price per share?
1. A sample of college students reported they owned the following number of albums: 76 64 79 80 74 66 69a. What is the mean number of albums owned?b. What is the median number of albums owned?c. What is the range of the number of albums owned?d. What is the standard deviation of the number of
18. The is the difference between the first and third quartiles.
17. The is the point below which one-fourth of the ranked values lie.
16. The coefficient of is a measure of the symmetry.
15. A divides a set of observations into 100 equal parts.
14. A divides a set of observations into four equal parts.
13. A is a graphical display based on five statistics: the maximum and minimum values, the first and third quartiles, and the median.
12. The states that for any symmetric, bell-shaped frequency distribution, approximately 68% of the observations will lie within plus and minus 1 standard deviation of the mean.
11. Which of the following is least affected by an outlier? (mean, median, or range—pick one) .
10. The standard deviation assumes a negative value when (all the values are negative, at least half the values are negative, or never—pick one) .
9. The square of the standard deviation is the .
8. The is the arithmetic mean of the squared deviations from the mean.
7. The is the difference between the largest and the smallest values in a data set.
6. The value of the observation that appears most frequently in a data set is called the .
4. The midpoint of a set of values after they have been ordered from the minimum to the maximum is called the . 5. What percentage of the values in every data set is larger than the median? .
3. The sum of the differences between each value and the mean is always equal to .
2. A measure, such as the mean, based on sample data is called a .
1. An observable characteristic of a population is called a .
119. Refer to the real estate data for the Rockland area (on Connect), which reports information on home listings.a. Select the variable list prices. 1. Find the mean, median, and standard deviation. 2. Determine the coefficient of skewness. Is the distribution positively or negatively skewed? 3.
118. Refer to the real estate data for the Orleans area (on Connect), which reports information on home listings. Select the variable number of bedrooms. 1. Find the mean, median, and standard deviation. 2. Determine the coefficient of skewness. Is the distribution positively or negatively skewed?
117. Refer to the Canadian Real Estate Association (CREA) data (on Connect), which reports information on average house prices nationally and in a selection of cities across Canada.a. Select the cities only for the variable January 2014. 1. Find the mean, median, and standard deviation. 2.
116. Following are the earnings per share, in dollars, for a sample of two stocks: Earnings per Share ($) Stock A 0.09 0.13 0.55 1.20 0.89 1.05 Stock B 65.01 75.55 66.78 68.45 70.12 Compare the variability in earnings of the two stocks. What is your conclusion?
115. The manager of the production department for a manufacturing company is concerned about the number of units produced each week at the Calgary, Alberta, and the Vaughan, Ontario, plants. The Calgary location is a much larger facility, but the manager wants to determine if there is more
114. A total of 42 students wrote the first quiz in their statistics class. The following frequency distribution reports the results: Grade (%) Frequency 90 to 100 3 80 to under 90 12 70 to under 80 16 60 to under 70 8 50 to under 60 3a. Determine the mean, median, and standard deviation.b. Does
113. You are exploring the music contained in your iTunes library. The total play counts over the past year for the songs on your “smart playlist” are shown in the following frequency distribution: Class Frequency 0 to under 200 18 200 to under 400 5 400 to under 600 4 600 to under 800 4 800 to
112. A social scientist is studying the use of iPods by college students. A sample of 45 students revealed that they played the following number of songs yesterday: Class Frequency 0 to under 2 2 2 to under 4 4 4 to under 6 5 6 to under 8 8 8 to under 10 14 10 to under 12 12a. Determine the mean,
111. A data distribution has a median value of 85, a first-quartile value of 80, and a third-quartile value of 100. Would the following values be considered a low outlier, a high outlier, or not an outlier: 35, 48, 52, 66, 108 and 105?
109. Refer to the following data: 11 26 34 12 15 33 37 55 41 36 42 14 39a. Determine the values for the first, second and third quartiles.b. Sketch a boxplot for the data.c. Beyond what point is a value considered an outlier?d. Are there any outliers? If so, what is their value?e. Determine the
108. The final marks for the Wednesday class in Statistics 101 are ready to be posted. The class average is 72%, with a standard deviation of 9.a. What percentage of the grades are above 81?b. What percentage of the grades are below 54?c. What percentage of the grades are between 54 and 90?d. What
107. The final marks for the Wednesday class in Statistics 101 are ready to be posted. The class average is 70%, with a standard deviation of 8.a. What percentage of the grades are between 62 and 78?b. What percentage of the grades are between 54 and 86?c. What percentage of the grades are between
106. Grade on Quiz 50 60 70 80 90 100 Number of Students 2 17 21 40 13 8
105. Grade on Quiz 3 4 5 7 8 10 Number of Students 4 4 6 20 6 1
104. A survey showed that in a class of 30 students, nine had purchased their own computers and printers. The cost of the computer systems, in dollars, is listed below: $2235 2150 1850 1500 2025 5750 2800 2750 3300a. Calculate the mean and median costs of the computer systems.b. Draw a box plot and
103. Bidwell Electronics Inc. recently surveyed a sample of employees to determine how far they lived from corporate headquarters. The results are shown below. Compute the mean, median, and standard deviation. Distance (km) Frequency 0 to under 5 4 5 to under 10 15 10 to under 15 27 15 to under 20
102. A recent report in Woman’s World magazine suggested that the typical family of four with an intermediate budget spends about $106 per week on food. The following frequency distribution was included in the report. Compute the mean, median, and standard deviation. How do your results compare
101. The Apollo space program lasted from 1967 until 1972 and included 13 missions. The missions lasted from as little as 7 hours to as long as 301 hours. The duration of each flight is listed below: 9 195 241 301 216 260 7 244 192 147 10 295 142a. Find the mean, median, and standard deviation of
100. On the Coast is a very popular restaurant located along the coast of Lake Erie. It serves a variety of steak and seafood dinners. During the summer beach season, it does not take reservations or accept “call ahead” seating. Management of the restaurant is concerned about the time a patron
99. The following data are the estimated market values (in millions of dollars) of 50 companies in the auto parts business: $26.8 8.6 6.5 30.6 15.4 18.0 7.6 21.5 11.0 10.2 28.3 15.5 31.4 23.4 4.3 20.2 33.5 7.9 11.2 1.0 11.7 18.5 6.8 22.3 12.9 29.8 1.3 14.1 29.7 18.7 6.7 31.4 30.4 20.6 5.2 37.8 13.4
98. The following box plot shows the number of daily newspapers published. Summarize the findings. Be sure to include information on the values of the first and third quartiles, the median and whether there is any skewness. If there are any outliers, estimate their value. F- 0 20 20 88 Number of
97. The Walter Gogel Company is an industrial supplier of fasteners, tools, and springs. The amounts of its invoices vary widely, from less than $20 to over $400. During the month of January it sent out 80 invoices. Here is a box plot of these invoices. Write a brief report summarizing the amounts
96. The National Muffler Company claims they will change your muffler in less than 30 minutes. An investigative reporter for WTOL Channel 11 monitored 30 consecutive muffler changes at the National outlet on Liberty Street. The number of minutes to perform changes is reported below: 44 12 22 31 26
95. A major airline wanted some information on those enrolled in its “frequent flyer” program. A sample of 48 members resulted in the following distance flown last year, in thousands of kilometres, by each participant. Develop a box plot of the data, and comment on the information. 22 29 32 38
94. Health issues are a concern of managers, especially as they evaluate the cost of medical insurance. A recent survey of 150 executives at Elvers Industries, a large insurance and financial firm, reported the number of kilograms by which the executives were overweight. Compute the range and the
93. A library has seven branches in its system. The number of volumes (in thousands) held in the branches are 83, 510, 33, 256, 401, 47, and 23.a. Is this a sample or a population?b. Compute the standard deviation.c. Compute the coefficient of variation. Interpret.
92. The masses (in kilograms) of a sample of five boxes being sent by United Parcel Service (UPS) are: 12, 6, 7, 3, and 10.a. Compute the range.b. Compute the mean deviation.c. Compute the standard deviation.d. Using Chebyshev’s theorem, at least what percentage of the observations must be within
91. The ages of a sample of Canadian tourists flying from Toronto to Hong Kong were: 32, 21, 60, 47, 54, 17, 72, 55, 33, and 41.a. Compute the range.b. Compute the mean deviation.c. Compute the standard deviation.d. Using Chebyshev’s theorem, at least what percentage of the observations must be
90. A recent article suggested that if you earn $25 000 a year today and the inflation rate continues at 3% per year, you will need to make $33 598 in 10 years to have the same buying power. You would need to make $44 771 if the inflation rate jumped to 6%. Confirm that these statements are
89. The Carter Construction Company pays its summer students an hourly rate of $13 for general labour, $15.50 for landscaping, or $18 for road work. Forty students were hired for the summer, 20 for general labour, 12 for landscaping, and 8 for road work. What is the mean hourly rate paid to the 40
88. Listed below are the commuting distances, in kilometres, of students attending college for their first year: 5.2 6.3 7.5 4.3 6.8 4.6 4.6 8.2 7.8 9.4 9.3 7.4 5.3 5.3 5.4a. What is the arithmetic mean distance travelled?b. What is the median distance travelled?c. What is the modal distance
87. The uncertainty in the stock market led Sam to diversify his investments. However, he still felt that stock options would earn the most, so he left the bulk of his funds in stock options. The table below lists Sam’s earnings from investments last year. What is the average rate of return on
86. Rolland Poust is a business student. Last semester, he took courses in statistics and accounting, three hours each, and earned an A in both. He earned a B in a five-hour history course and a B in a two-hour history of jazz course. In addition, he took a one-hour course dealing with the rules of
85. The Rail & Fence Company sells three types of fence to homeowners. Grade A costs $5.00/m to install, Grade B costs $6.50/m, and Grade C, the premium quality, costs $8.00/m. Yesterday, Split-A-Rail installed 270 m of Grade A, 300 m of Grade B, and 100 m of Grade C. What was the mean cost per
84. Trudy Green works for the True-Green Lawn Company. Her job is to solicit lawn care business via the telephone. Listed below are the number of appointments she made in each of the last 25 hours of calling. What is the arithmetic mean number of appointments she made per hour? What is the median
83. The Canadian Government wants to know the relative age of its workforce. As the “baby boom” generation becomes older, the government is concerned about the availability of younger, qualified workers. To become more informed, the government hired ABC Consulting Services to survey many
82. The Citizens Banking Company is studying the number of times the ATM, located in a Loblaws Supercentre at the foot of Market Street is used per day. Following are the numbers of times the machine was used over each of the last 30 days. Determine the mean number of times the machine was used per
81. A sample of households that subscribe to a local phone company revealed the following number of calls received last week. Determine the mean and the median numbers of calls received. 52 43 30 38 30 42 12 46 39 37 34 46 32 18 41 5
80. Owens Orchards sells apples in a large bag by weight. A sample of seven bags contained the following numbers of apples: 23, 19, 26, 17, 21, 24, 22.a. Compute the mean number and the median number of apples in a bag.b. Verify that ©(X − X) = 0.
79. The accounting firm of Crawford and Associates has five senior partners. Yesterday, the senior partners saw 6, 4, 3, 7, and 5 clients, respectively.a. Compute the mean number and the median number of clients seen by a partner.b. Is the mean a sample mean or a population mean?c. Verify that Σ(X
78. Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 60 manufacturing companies. Estimate the mean, median, and standard deviation of advertising expense. Advertising Number of ($
77. The following frequency distribution reports the amount, in thousands of dollars, owed by a sample of 50 public accounting firms. Find the mean, median, and standard deviation. Amount ($ thousands) Frequency $20 to under $30 1 30 to under 40 15 40 to under 50 22 50 to under 60 8 60 to under 70 4
76. SCCoast, an Internet service provider, developed the following frequency distribution on the age of Internet users. Find the mean, median, and standard deviation. Age (years) Frequency 10 to under 20 3 20 to under 30 7 30 to under 40 18 40 to under 50 20 50 to under 60 12
75. Determine the mean, median, and standard deviation of the following frequency distribution: Class Frequency 20 to under 30 7 30 to under 40 12 40 to under 50 21 50 to under 60 18 60 to under 70 12
74. Determine the mean, median, and standard deviation of the following frequency distribution: Class Frequency 0 to under 5 2 5 to under 10 7 10 to under 15 12 15 to under 20 6 20 to under 25 3
73. When we compute the mean of a frequency distribution, why do we refer to this as an estimated mean?
72. A sample of 28 time-shares revealed the following daily charges, in dollars, for a one-bed suite. For convenience, the data are ordered from smallest to largest. Construct a box plot to represent the data. Comment on the distribution. Be sure to identify the first and third quartiles and the
71. In a study of the fuel efficiency of model year 2010 automobiles, the mean efficiency was 12 kilometres per litre (km/L,) and the median was 11.7 km/L. The smallest value in the study was 5.5 km/L, and the largest was 22 km/L. The first and third quartiles were 7.8 km/L and 15.5 km/L,
70. Refer to the following box plot:a. Estimate the median.b. Estimate the first and third quartiles.c. Determine the interquartile range.d. Beyond what point is a value considered an outlier?e. Identify any outliers and estimate their value.f. Is the distribution symmetric or positively or
69. The box plot below shows the amount spent for books and supplies per year by students at community colleges:a. Estimate the median amount spent.b. Estimate the first and third quartiles for the amount spent.c. Determine the interquartile range for the amount spent.d. Beyond what point is a
68. Kevin Horn is the national sales manager for National Textbooks Inc. He has a sales staff of 40, who visit college and university professors. Each Saturday morning, he requires his sales staff to send him a report. This report includes, among other things, the number of professors visited
67. The Thomas Supply Company Inc. is a distributor of small electrical motors. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of The Thomas Supply Company Inc.
66. Determine the median and the values corresponding to the first and third quartiles in the following data: 5.24 6.02 6.67 7.30 7.59 7.99 8.03 8.35 8.81 9.45 9.61 10.37 10.39 11.86 12.22 12.71 13.07 13.59 13.89 15.42
65. Determine the median and the values corresponding to the first and third quartiles in the following data: 46 47 49 49 51 53 54 54 55 55 59
#!# 64. Listed below are the average commissions of top-producing financial advisors in the firm A2Z Securities: $15 000 13 000 21 600 1250 12 000 382 396 5 667 389 382 456 3 000 432 23 429 13 000 10 000 385 490 750 382 1500 16 000 10 500 491 4 000 11 070 600 380
63. Listed below are the commissions earned, in thousands of dollars, last year by the sales representatives at the Furniture Patch Inc.: $3.9 5.7 7.3 10.6 13.0 13.6 15.1 15.8 17.1 17.4 17.6 22.3 38.6 43.2 87.7
62. Listed below are the salaries, in thousands of dollars, for a sample of 15 chief financial officers in the electronics industry: $516.0 548.0 566.0 534.0 586.0 529.0 546.0 523.0 538.0 523.0 551.0 552.0 486.0 558.0 574.0
61. The following values are the starting salaries, in thousands of dollars, for a sample of five accounting graduates who accepted positions in public accounting last year: $36.0 26.0 33.0 28.0 31.0
60. The spread in the annual prices of stocks selling for under $10 and the spread in prices of those selling for over $60 are to be compared. The mean price of the stocks selling for under $10 is $5.25 and the standard deviation $1.52. The mean price of those stocks selling for over $60 is $92.50
59. The research analyst for the Sidde Financial stock brokerage firm wants to compare the dispersion in the price-earnings ratios for a group of common stocks with the dispersion of their return on investment. For the price-earnings ratios, the mean is 4.9, and the standard deviation 1.8. The
58. Skipjack Airlines is studying the mass of luggage for each passenger. For a large group of domestic passengers, the mean is 21 kg, with a standard deviation of 5 kg. For a large group of overseas passengers, the mean is 35 kg, and the standard deviation is 7 kg. Compute the relative dispersion
57. For a sample of students in a college studying Business Administration, the mean grade point average is 3.10, with a standard deviation of 0.25. Compute the coefficient of variation.
56. The following figure portrays the appearance of a distribution of efficiency ratings for employees of Nale Nail Works Inc.:a. Estimate the mean efficiency rating.b. Estimate the standard deviation to the nearest whole number.c. About 68% of the efficiency ratings are between what two values?d.
55. The distribution of the weights of a sample of 1400 cargo containers is somewhat normally distributed. According to the Empirical Rule, what percentage of the weights will lie:a. Between X − 2s and X + 2s?b. Between X and X + 2s? Below X − 2s?
54. The mean price of a group of sample observations is $500; the standard deviation is $40. According to Chebyshev’s theorem at least what percentage of the prices will lie between $400 and $600?
53. According to Chebyshev’s theorem, at least what percentage of any set of observations will be within 1.8 standard deviations of the mean?

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