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

1. Excel commands to select a simple random sample for the B&B example are as follows:a. Select DATA, Data Analysis, Sampling, and click OK.b. For Input Range insert B1:B31. Check the Labels box. Select Random, and enter the sample size for the Number of Samples, in this case 5. Click the Output
1. Suppose that an adult spends an average (mean) of 12.2 minutes (per day) in the shower. The distribution of times follows the normal distribution with a population standard deviation of 2.3 minutes. What is the likelihood that the mean time in the shower per day for a sample of 12 adults is 11
9. If we increase the sample size from 10 to 20, the standard error of the mean will . (increase, decrease, stay the same, or the result is not predictable) 10. If a population follows the normal distribution, what will be the shape of the distribution of sample means?
8. The mean of all possible sample means is the population mean. (always larger than, always smaller than, always equal to, or not a constant relationship with)
7. What is the name given to the standard deviation of the distribution of sample means?
6. Suppose a population consisted of 10 items and we wished to list all possible samples of size 3. How many samples are there?
5. A probability distribution of all possible samples means for a particular sample size is the .
4. The difference between a sample mean and the population mean is the .
3. When a population is divided into groups based on some characteristic, such as a region of the country, the groups are called .
2. A sample should have at least how many observations? (10, 30, 100, 1,000, no size restriction)
1. In a , each item in the population has the same chance of being included in the sample.
66. Refer to the real estate data for the Saskatoon area (on Connect), which include information on home listings.a. Compute the mean and standard deviation of the distribution of the list prices for the homes. Assume this to be the population. Develop a histogram of the data. Would it seem
65. Refer to the real estate data for the Halifax area (on Connect), which include information on home listings.a. Compute the mean and standard deviation of the distribution of the list prices for the homes. Assume this to be the population. Develop a histogram of the data. Would it seem
64. The Tea Delish Company claims that 40% of its customers are between 35 to 45 years of age. In a random sample of 250 customers:a. What is the probability that between 100 and 115 customers were in the 35 to 45 years age range?b. What is the probability that more than 120 customers were in the
63. The Canadian operation of the Customer Care Department of a global pharmaceutical company receives between 600 and 700 calls per day. The department’s objective is that no more than 5% of the calls are transferred to voice mail. In a random sample of 45 days:a. What is the probability that
62. A total of 2000 college and university students responded to a provincial survey concerning the number of paid hours they worked during the week while registered in classes. Of particular interest was the number of students who held at least two part-time jobs at the same time while attending
61. A marketing survey was conducted to estimate the proportion of homemakers who would recognize the brand name of a cleanser based on the shape and the colour of the container. Of the 1400 homemakers sampled, 420 were able to identify the brand by name.a. Estimate the value of the population
60. Over the past decade, the mean number of members of the Information Systems Security Association who have experienced a denial-of-service attack each year is 510, with a standard deviation of 14.28 attacks. Suppose that nothing in this environment changes.a. What is the likelihood this group
59. An economist uses the price of milk as a measure of inflation. She finds that the average price is $3.50 per four litres and the population standard deviation is $0.33. You decide to sample 40 stores, collect their price for four litres of milk, and compute the mean price for the sample.a. What
58. Human Resource Consulting (HRC) surveyed a random sample of 60 construction companies to find information on the costs of their health care plans. One of the items being tracked is the annual deductible that employees must pay. The BayShore Construction Company reports that historically the
57. A recent report indicated a typical family of five spends $650 per month on food. Assume the distribution of food expenditures for a family of five follows a normal distribution, with a mean of $650 and a standard deviation of $120. A sample of 64 is taken.a. What percentage of the families
56. A recent survey reported that the average person consumes 6 glasses of water per day (250 mL per glass). Assume the standard deviation of water consumption is 1.5 glasses per day and the consumption rate follows a normal probability distribution. A sample of 100 students is taken.a. What is
55. The owner of the Coffee Bean Cafe states that she sells 500 cupcakes per day. Along with staple flavours, such as double chocolate and vanilla bean, which are always available, each day of the week has its own special— such as lemon—which is only baked on Tuesday. Therefore, cupcakes sales
54. Nike’s annual report says that the average customer buys 6.5 pairs of sports shoes per year. Suppose that the population standard deviation is 2.1 and that a sample of 81 customers will be examined next year.a. What is the standard error of the mean in this experiment?b. What is the
53. A retailer claims that 90% of its customers are pleased or very pleased with the customer service. In a survey of 300 customers taken last week, what is the probability that:a. 85% or more will be pleased or very pleased with the service?b. 92% or more will be pleased or very pleased with the
52. A manufacturing process produces 5% defective items. What is the probability that in a sample of 50 items:a. 10% or more will be defective?b. Less than 1% will be defective?c. More than 10% or less than 1% will be defective?
51. A convenience store estimates that 25% of its customers come in to buy milk. What is the probability that out of the next 200 customers, 60 or fewer will buy milk?
50. A preliminary survey shows that 35% of college students smoke. In a class of 42 students, what is the probability that more than half the students smoke?
49. The average grade in a statistics course has been 69 with a standard deviation of 12.5. If a random sample of 50 is selected from this population, what is the probability that the average grade is more than 73?
48. Suppose that we roll a fair die two times.a. How many different samples are there?b. List each of the possible samples, and compute the mean.c. On a chart similar to Chart 7–1, compare the distribution of sample means with the distribution of the population.d. Compute the mean and standard
47. The mean SAT score for Division I student-athletes is 947 with a standard deviation of 205. If you select a random sample of 60 of these students, what is the probability the mean is below 900?
46. The mean amount purchased by each customer at Churchill’s Grocery Store is $23.50 with a standard deviation of $5.00. The population is positively skewed. For a sample of 50 customers, answer the following questions:a. What is the likelihood the sample mean is at least $25.00?b. What is the
45. The Crossett Trucking Company claims that the mean mass of its delivery trucks when they are fully loaded is 2700 kg and the standard deviation is 68 kg. Assume that the population follows the normal distribution. Forty trucks are randomly selected and their masses measured. Within what limits
44. A recent study by the Island Resort Taxi Drivers Association showed that the mean fare charged for service from the beach to the airport is $21.00 and the standard deviation is $3.50. We select a sample of 15 fares.a. What is the likelihood that the sample mean is between $20.00 and $23.00?b.
43. The mean age at which men in Canada marry for the first time is 30.6 years. The standard deviation of the population distribution is 2.5 years. For a random sample of 60 men, what is the likelihood that the age at which they were married for the first time is less than 31.5 years?
42. The mean amount of life insurance per household is $110 000. This distribution is positively skewed. The standard deviation of the population is $40 000.a. A random sample of 50 households revealed a mean of $112 000. What is the standard error of the mean?b. Suppose that you selected 50
41. Recent studies indicate that the typical 50-year-old woman spends $350 per year for personal care products with a population standard deviation of $45. The distribution of the amounts spent is positively skewed. We select a random sample of 40 women. The mean amount spent for those sampled is
40. CRA CDs Inc. wants the mean lengths of the “cuts” on a CD to be 135 seconds (2 minutes and 15 seconds). This will allow the disk jockeys to have plenty of time for commercials within each 10-minute segment. Assume the distribution of the length of the cuts follows a normal distribution with
39. Power+, produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 35.0 hours and a standard deviation of 5.5 hours. As a part of its testing program, Power+ tests samples of 25 batteries.a. What can you
38. The Appliance Centre has six sales representatives at its store. Listed below are the numbers of refrigerators sold by the representatives last month: Sales Representative Number Sold Zina Craft 54 Woon Junge 50 Ernie DeBrul 52 Jan Niles 48 Molly Camp 50 Rachel Myak 52a. How many samples of
37. The quality control department employs five technicians during the day shift. Listed below are the numbers of times the technicians instructed the production foreman to shut down the manufacturing process last week:Technician Shutdowns Taylor 4 Hurley 3 Fowler 5 Rousche 3 Telatko 2a. How many
36. At the downtown office of First National Bank, there are five tellers. Last week, the tellers made the following numbers of errors: 2, 3, 5, 3, and 5.a. How many different samples of two tellers are possible?b. List all possible samples of size 2, and compute the mean of each.c. Compute the
35. Suppose that your statistics instructor gave six examinations during the semester. You received the following grades (percentage correct): 79, 64, 84, 82, 92, and 77. Instead of averaging the six scores, the instructor indicated he would randomly select two grades and report that grade to the
34. As a part of its customer-service program, WestJet randomly selected 10 passengers from today’s 9 a.m. Edmonton– Calgary flight. Each sampled passenger is to be interviewed in depth regarding airport facilities, service, food, and so on. To identify the sample, each passenger was given a
33. A study of motel facilities in Rock Hill showed there are 25 facilities. The city’s convention and visitors bureau is studying the number of rooms at each facility. The results are as follows: 90 72 75 60 75 72 84 72 88 74 105 115 68 74 80 64 104 82 48 58 60 80 48 58 100 0a. Using a table of
32. Plastic Products is concerned about the inside diameter of the plastic PVC pipe it produces. A machine extrudes the pipe, which is then cut into three-metre lengths. About 720 pipes are produced per machine during a two-hour period. How would you go about taking a sample from the two-hour
31. The commercial banks in the financial district are to be surveyed. Some of them are very large, with assets of more than $500 million; others are medium-sized, with assets between $100 million and $500 million; and the remaining banks have assets of less than $100 million. Explain how you would
30. A population consists of the following three values: 1, 2, and 3.a. List all possible samples of size 2 (including possible repeats), and compute the mean of every sample.b. Find the means of the distribution of the sample mean and the population mean. Compare the two values.c. Compare the
29. Answer the following questions in one or two well-constructed sentences:a. What happens to the standard error of the mean when the sample size is increased?b. What happens to the distribution of the sample means when the sample size in increased?c. When using the distribution of sample means to
28. List the reasons for sampling. Give an example of each reason for sampling.
26. Canada’s Wonderland theme park would like to do a survey to find out how often families visit in a season and how long they stay on each visit. How would you suggest taking this sample? What type of sampling have you described? 27. What is sampling error? Could the value of the sampling error
25. The retail stores located in the North Towne Square Mall are as follows: 00 GAP 09 M Studios 18 County Seat 01 Montgomery Ward 10 Bootleggers 19 Kid Mart 02 Deb Shop 11 Formal Man 20 Eddie Bauer 03 Frederick’s of Hollywood 12 Leather Ltd. 21 Coach House Gifts 04 Petries 13 B Dalton Bookseller
24. It has been estimated that 25% of all university students switch majors within their first two years of starting classes. If a random sample of 500 third-year students is taken at a city university, what is an estimate of the probability that 20% or less had switched majors within their first
23. Ms. Angelina Marie is considering running for mayor of her town for the second time. The first time, she received 75% of the popular vote. What is the probability that in a sample of 300 town residents, at least 240 would vote in favour of her for town mayor for the second time?
22. The college cafeteria finds that 30% of students will buy a dessert if it is properly advertised. The cafeteria manager is thinking of hiring an arts student to create a poster of a new apple and ice cream dessert, which could then be displayed at the front entrance to the cafeteria during the
21. Dawson’s Repair Service orders parts from an electronic company, which advertises its parts to be no more than 2% defective. What is the probability that Bill Dawson finds three or more parts out of a sample of 50 to be defective?
19. Given p = 0.45 and n = 200, compute the standard error of the proportion. 20. Given p = 0.09 and n = 50, compute the standard error of the proportion.
17. The mean rent for a one-bedroom apartment in Southern Ontario is $1200 per month, with a standard deviation of $250. The distribution of the monthly costs does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 50 one-bedroom
16. A normal population has a mean of 75 and a standard deviation of 5. You select a sample of 40. Compute the probability that the sample mean is:a. Less than 74.b. Between 74 and 76.c. Between 76 and 77.d. Greater than 77.
15. A normal population has a mean of 60 and a standard deviation of 12. You select a random sample of 9. Compute the probability the sample mean is:a. Greater than 63.b. Less than 56.c. Between 56 and 63.
14. Consider the digits in the phone numbers on a randomly selected page of your local phone book a population. Make a frequency table of the last four digits of 30 random phone numbers. For example, if a phone number is 555-9704, record 9704.a. Draw a histogram or other graph of this population
13. Consider all of the coins (nickels, quarters, loonies, etc.) in your pocket or purse as a population. Make a frequency table beginning with the current year and counting backward to record the ages (in years) of the coins. For example, if the current year is 2011, then a coin with 2009 on it is
12. The Scrapper Elevator Company has 20 sales representatives who sell the company’s product throughout the United States and Canada. The number of units sold by each representative is listed below. Assume these sales figures to be the population values. 23233424322734533335a. Draw a graph
11. Appendix B.5 is a table of random numbers. Hence, each digit from 0 to 9 has the same likelihood of occurrence.a. Draw a graph showing the population distribution. What is the population mean?b. Following are the first 10 rows of five digits from Appendix B.5. Assume that these are 10 random
10. There are five sales representatives at Mid-Motors Ford. The five representatives and the number of cars they sold last week are as follows: Sales Representative Cars Sold Peter Hankish 8 Connie Stallter 6 Ron Eaton 4 Ted Barnes 10 Peggy Harmon 6a. How many different samples of size 2 are
9. In the law firm Tybo and Associates, there are six partners. Listed below is the number of cases each associate actually tried in court last month: Associate Number of Cases Ruud 3 Austin 6 Sass 3 Palmer 3 Wilhelms 0 Schueller 1a. How many different samples of size 3 are possible?b. List all
8. A population consists of the following five values: 0, 0, 1, 3, 6.a. List all samples of size 3, and compute the mean of each sample.b. Compute the mean of the distribution of the sample mean and the population mean. Compare the two values.c. Compare the dispersion in the population with that of
7. A population consists of the following five values: 12, 12, 14, 15, and 20.a. List all samples of size 3, and compute the mean of each sample.b. Compute the mean of the distribution of the sample mean and the population mean. Compare the two values.c. Compare the dispersion in the population
6. A population consists of the following five values: 2, 2, 4, 4, and 8.a. List all samples of size 2, and compute the mean of each sample.b. Compute the mean of the distribution of the sample mean and the population mean. Compare the two values.c. Compare the dispersion in the population with
5. A population consists of the following four values: 12, 12, 14, and 16.a. List all samples of size 2, and compute the mean of each sample.b. Compute the mean of the distribution of the sample mean and the population mean. Compare the two values.c. Compare the dispersion in the population with
4. The college decided to survey the students according to their programs of study. A random sample was selected from each program.
3. The college determined that of its 10 000 students, 500 surveys would be sufficient to achieve satisfactory results. The students attending in that semester were sorted according to their student number, and every 20th student on the list was selected for the survey.
2. The college made a list of all of the classes registered in the semester and then randomly selected 25 classes. All students in the selected 25 classes were surveyed.
1. The following is a list of Marco’s Pizza stores in Lucas County. Also noted is whether the store is corporate-owned (C) or manager-owned (M). A sample of four locations is to be selected and inspected for customer convenience, safety, cleanliness, and other features. ID No. Address Type ID No.
11. MegaStat steps to find the number of kilometres in the Layton Tire and Rubber example are as follows:a. Select MegaStat, Probability, and Continuous Probability Distributions.b. Click the dial in front of the box calculate z given P.c. Enter 0.96 for P, 109000 for the mean and 3300 for the
10. Excel steps to find the number of kilometres in the Layton Tire and Rubber example are as follows:a. Select Insert Function. From the Or select a category list, select Statistical. In the Select a function list, click NORM.INV. Click OK.b. Enter 0.04 for Probability, 109000 for the Mean and
9. Excel and MegaStat steps to find the area between $1150 and $1250 are as follows:a. Use #1 or #2 above to find the areas under the curve for the values of $1150 and $1250. The output from MegaStat (Excel is similar) for the value of $1150 is 0.9332 in the lower tail and 0.0668 in the upper tail.
8. Excel and MegaStat steps to find the area between $840 and $1200 are as follows:a. Use #1 or #2 above to find the areas under the curve for the values of $840 and $1200. The output from MegaStat (Excel is similar) for the values of $840 and $1200 follow. Note that the area in the two tails of
7. The steps (Excel and MegaStat) to find the area between $790 and $1000 are as follows:a. Use the result 0.0179 in the lower tail from #5 or #6.b. Recall that the total area to the left of the mean is 0.5. To find the area between $790 and $1000, subtract the area that is not needed, which is the
6. MegaStat steps to find the area less than $790 are as follows:a. Follow the MegaStat steps in #2 above, entering 790 for x.b. The answer is 0.0179, which is the area in the left tail (less-than) $790.
5. Excel steps to find the area less than $790 are as follows:a. Follow the Excel steps in #1 above, entering 790 for x.b. The answer is 0.0179, which is the area in the left tail (less-than) $790.
4. MegaStat steps to find the probability for the weekly incomes of shift supervisors that are between $1000 and $1100 are as follows:a. Select MegaStat, Probability, and Continuous Probability Distributions.b. Enter 1000 for the mean. You will notice that the screen changes to add an extra box
3. Excel steps to find the probability for the weekly incomes of shift supervisors that are between $1000 and $1100 are as follows:a. Select Insert Function. From the Or select a category list, select Statistical. In the Select a function list, click NORM.DIST. Click OK.b. Enter 1100 for X, 1000
2. MegaStat steps to find the probability for the weekly incomes of shift supervisors that are less than $1100 are as follows:a. Select MegaStat, Probability, and Continuous Probability Distributions.c. Click OK for the output to appear on the Output sheet as follows: normal distribution P(lower)
1. Excel steps to find the probability for the weekly incomes of shift supervisors that are less than $1100 are as follows:b. Enter 1100 for X, 1000 for the Mean, 100 for the Standard_dev, 1 for Cumulative and click OK.c. The result will be in your spreadsheet.a. Select Insert Function. From the Or
8. What is the probability of a z-value between 0 and −0.76? . 9. What is the probability of a z-value between −2.03 and 1.76? . 10. What is the probability of a z-value between −1.86 and −1.43? .
7. The signed difference between a selected value and the mean divided by the standard deviation is called a . (z-score, z-value, standardized value, any of these)
6. How many standard normal distributions are there? (1, 10, 30, infinite) .
5. How many normal distributions are there? (1, 10, 30, infinite) .
4. For a normal distribution, the mean and the median are (always equal, mean is twice the median, equal to the standard deviation, none of these is true).
3. Which of the following is NOT a characteristic of the normal distribution? (bell-shaped, symmetric, discrete, asymptotic) .
2. For a uniform distribution that ranges from 10 to 20, how many values can be in that range? (1, 10, 100, infinite—pick one) .
1. For a continuous probability distribution, the total area under the curve is equal to .
88. Refer to the CREA (Canadian Real Estate Association) data on Connect, which include information on average house prices nationally and in a selection of cities across Canada. Select the cities only.a. Calculate the mean and the standard deviation for January 2014. Consider the data a
87. Refer to the real estate data for the Saskatoon area (on Connect), which include information on home listings. The mean list price (in $ thousands) of the homes was computed earlier. Use the normal distribution to estimate the percent of homes listed for more than $350 000. Compare this to the
86. Refer to the real estate data for the Halifax area (on Connect), which include information on home listings. The mean list price (in $ thousands) of the homes was computed earlier. Use the normal distribution to estimate the percentage of homes listed for more than $475 000. Compare this to the
85. In economic theory, a “hurdle rate” is the minimum return that a person requires before they will make an investment. A research report says that annual returns from a specific class of common equities are distributed according to a normal distribution with a mean of 12% and a standard
84. For the most recent year available, the mean annual cost to attend a private college was $25 000. Assume that the distribution of annual costs follows the normal probability distribution and the standard deviation is $4500.a. What percentage of students attending a private college pay between
83. According to media research, the average person listened to 195 hours of music in the last year. This is down from 290 hours four years earlier. Dick Trythall is a big country and western music fan. He listens to music while working around the house, reading, and riding in his truck. Assume the
82. The SAT Reasoning Test is perhaps the most widely used standardized test for college admissions in the United States. Scores are based on a normal distribution with a mean of 1500 and a standard deviation of 300. Clinton College would like to offer an honors scholarship to students who score in

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