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

30. A grocery store wants to monitor the amount of withdrawals that its customers make from automatic teller machines (ATMs) located within its stores. It samples 10 withdrawals from each location and the output from a statistical software package is as follows: Summary Groups Count Sum Average
29. Three assembly lines are used to produce a certain component for an airliner. To examine the production rate, a random sample of six-hourly periods is chosen for each assembly line, and the number of components produced during these periods for each line is recorded. The output from a
28. The fuel efficiencies for a sample of 27 compact, midsize, and large cars are entered into a statistical software package. To test whether there is a difference among the mean fuel efficiencies for the three car types, an analysis of variance is computed. What do you conclude? Use the 0.01
27. There are four auto body shops in Shell River, Manitoba, all of which claim to serve customers promptly. To check if there is any difference in service, customers are randomly selected from each repair shop and their waiting times in days are recorded. The output from a statistical software
26. One reads that a business school graduate with a college diploma or an undergraduate degree earns more than a high school graduate with no additional education and that a person with a master’s degree or a doctorate earns even more. To test this, a random sample of 25 executives from
25. When only two treatments are involved, ANOVA and the Student t-Test (Chapter 10) result in the same conclusions. Also, t 2 = F. As an example, suppose that 14 randomly selected college students were divided into two groups, one consisting of six students and the other of eight. One group was
24. A study of the effect of television commercials on 12-year-old children measured their attention span, in seconds. The commercials were for clothes, food, and toys. At the 0.05 significance level, is there a difference in the mean attention span of the children for the various commercials? Are
23. The City of Maumee comprises four districts. Chief of Police Andy North wants to determine whether there is a difference in the mean number of crimes committed among the four districts. He recorded the number of crimes reported in each district for a sample of six days. At the 0.05 significance
22. A physician who specializes in weight control has three different diets she recommends. As an experiment, she randomly selected 15 patients and then assigned 5 to each diet. After three months the following weight losses, in kilograms, were noted. At the 0.05 significance level, can she
21. A consumer organization wants to know whether there is a difference in the price of a particular toy at three different types of stores. The price of the toy was checked in a sample of five discount stores, five variety stores, and five department stores. The results are shown below. Use the
20. The following is a partial ANOVA table: Source SS Df MS F Treatment 2 Error 20 Total 500 11 Complete the table, and answer the following questions. Use the 0.05 significance level.a. How many treatments are there?b. What is the total sample size?c. What is the critical value of F?d. Write out
19. In an ANOVA table, MSE was equal to 10. Random samples of six were selected from each of four populations, where the sum of squares total was 250.a. Set up the null hypothesis and the alternative hypothesis.b. What is the decision rule? Use the 0.05 significance level.c. Complete the ANOVA
18. Random samples of five were selected from each of three populations. The sum of squares total was 100. The sum of squares due to the treatments was 40.a. Set up the null hypothesis and the alternative hypothesis.b. What is the decision rule? Use the 0.05 significance level.c. Complete the ANOVA
17. There are two Chevrolet dealers in Jamestown. The mean weekly sales at Sharkey Chevy and Dave White Chevrolet are about the same. However, Tom Sharkey, the owner of Sharkey Chevy, believes his sales are more consistent. Below is the number of new cars sold at Sharkey in the last seven months
16. A computer manufacturer is about to unveil a new, faster personal computer. The new machine clearly is faster, but initial tests indicate there is more variation in the processing time. The processing time depends on the software, the amount of data to be processed, and the amount of output. A
15. A real estate agent in Northern Ontario wants to compare the variation in the selling price of homes on waterfronts with those one to three blocks from the water. A sample of 21 waterfront homes sold within the last year revealed the standard deviation of the selling prices was $45 600. A
14. A stock analyst wants to determine whether there is a difference in the mean rate of return for three types of stock: utility, retail, and banking stocks. The following output is obtained: Analysis of Variance Source DF SS MS F P Factor 2 86.49 43.25 13.09 0.001 Error 13 42.95 3.30 Total 15
13. A senior accounting major has job offers from four CGA (certified general accountant) firms. To explore the offers further, she asked a sample of recent trainees how many months each worked for the firm before receiving a raise in salary. The sample information is as follows: Analysis of
12. Given the following sample information, test the hypothesis that the treatment means are equal at the 0.05 significance level: Treatment 1 Treatment 2 Treatment 3 396 263 555 165 385 154 4 1 7 5 6 4a. State the null hypothesis and the alternative hypothesis.b. What is the decision rule?c.
11. Given the following sample information, test the hypothesis that the treatment means are equal at the 0.05 significance level: Treatment 1 Treatment 2 Treatment 3 83 3 11 2 4 10 1 5 3 4 2a. State the null hypothesis and the alternative hypothesis.b. What is the decision rule?c. Compute SST,
10. The manager of a computer software company wishes to study the number of hours top executives spend at their computer terminals by type of industry. The manager selected a sample of five executives from each of three industries. At the 0.05 significance level, can she conclude there is a
9. A real estate developer is considering investing in a shopping mall. Three parcels of land are being evaluated. Of particular importance is the income in the area surrounding the proposed mall. A random sample of four families is selected near each proposed mall. Following are the sample
8. The following is sample information. Test the hypothesis at the 0.05 significance level that the treatment means are equal. Servers Waiters Head Waiters $9 $13 $10 7 20 9 11 14 15 9 13 14 12 15 10a. State the null hypothesis and the alternative hypothesis.b. What is the decision rule?c. Compute
7. The following is sample information. Test the hypothesis that the treatment means are equal. Use the 0.05 significance level. Treatment 1 Treatment 2 Treatment 3 $8 $3 $3 6 2 4 10 4 5 9 3 4a. State the null hypothesis and the alternative hypothesis.b. What is the decision rule?c. Compute SST,
6. A stockbroker at Critical Securities reported that the mean rate of return on a sample of 10 oil stocks was 12.6% with a standard deviation of 3.9%. The mean rate of return on a sample of eight utility stocks was 10.9% with a standard deviation of 3.5%. At the 0.05 significance level, can we
5. Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for men was 35 minutes per day. The standard deviation of the sample of the 10 men studied was 10
4. The following hypotheses are given: H0 : σ2 1 − σ2 2 ≤ 0 H1 : σ2 1 − σ2 2 > 0 A random sample of five observations from the first population resulted in a standard deviation of 12. A random sample of seven observations from the second population showed a standard deviation of 7. At
3. The following hypotheses are given: H0 : σ2 1 − σ2 2 = 0 H1 : σ2 1 − σ2 2 ≠ 0 A random sample of eight observations from the first population resulted in a standard deviation of 10. A random sample of six observations from the second population resulted in a standard deviation of 7.
2. What is the critical F-value for a sample of four observations in the numerator and seven in the denominator? Use a one-tailed test and the 0.01 significance level.
1. What is the critical F-value for a sample of six observations in the numerator and four in the denominator? Use a two-tailed test and the 0.10 significance level.
5. MegaStat steps for hypothesis testing for the Nickel Savings and Loan example are as follows:a. In an Excel spreadsheet, enter Home in cell A3, Schadek in cell B3 and Bowyer in cell C3. Then enter the data for the home number starting in cell A4, the data for Schadek starting in cell B4 and the
4. Excel steps for hypothesis testing for the Owens Lawn Care example are as follows:a. In an Excel spreadsheet, enter Welles in cell A3, and Atkins in cell B3. Then enter the data for Welles starting in cell A4 and the data for Atkins starting in cell B4. This is the data input.b. Select Data
3. MegaStat steps for hypothesis testing for the Owens Lawn Care example are as follows:a. In an Excel spreadsheet, enter Welles in cell A3, and Atkins in cell B3. Then enter the data for Welles starting in cell A4 and the data for Atkins starting in cell B4. This is the data input.b. Select
2. MegaStat steps for hypothesis testing for the Manelli Perfume Company example are as follows:a. Select MegaStat, Hypothesis Tests, and Compare Two Independent Proportions.b. In the Group 1 column, enter 19 for X and 100 for n. In the Group 2 column, enter 62 for X and 200 for n.c. Enter 0 as the
1. MegaStat steps for hypothesis testing for the FoodTown Supermarkets example are as follows:a. In an Excel spreadsheet, enter Standard in cell A3, and Fast Lane in cell B3. Enter 5.50 in cell A4, 5.30 in cell B4, 0.40 in cell A5 0.30 in cell B5, 50 in cell A6 and 100 in cell B6. This is the
2. Dial Soap Company developed a new soap for men that it wants to test in two cities. The sample information is reported below: City Liked New Soap Number Sampled Regina 128 300 Collingwood 149 400
1. Is there a difference in the mean kilometres travelled per week by each of the two taxi cab companies operating in the Grand Strand area? The Sun News, the local newspaper, is investigating and obtained the following sample information. At the 0.05 significance level, is there a difference in
10. In a statistics class, for each student, the percentage correct on Exam 2 is subtracted from the percentage correct on Exam 1. This is an example of samples.
9. For independent samples, the two samples are different or .
8. For dependent samples, observations are matched or .
7. Degrees of freedom are calculated as the total number of observations less the number of .
6. The test statistic for a hypothesis test of differences between two dependent populations follows the .
5. A hypothesis test of differences between two dependent populations is based on a single population of mean . (differences, populations, standard deviations, t-values)
4. For two independent populations, sample standard deviations are pooled to compute a single estimate of the . (population mean, population standard deviation, population proportion, z-value.)
3. When sampled items from two populations are classified as “success” or “failure,” the hypothesis test is for differences in population .
2. If the population standard deviations are known for a test of differences for two independent populations, the test statistic is .
1. The hypothesized difference between two population means is .
64. Refer to the real estate data for the Saskatoon area, on Connect, which include information on home listings.a. At the 0.05 significance level, can we conclude that there is a difference in the mean list price of homes with up to and including 1000 square feet compared with those with more than
63. Refer to the Average retail prices for gasoline and fuel oil, by urban centre, computed annual average (cents per litre) data, on Connect, found in the file named Gasoline Prices.a. Using the data from December 2010 to December 2013, compare the gasoline prices for Winnipeg and Calgary. At the
62. 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 only the cities.a. At the 0.01 significance level, can we conclude that the mean list price for January 2014 is
61. Refer to the real estate data for the Halifax area, on Connect, which include information on home listings.a. At the 0.05 significance level, can we conclude that there is a difference in the mean list price of homes with up to and including 2000 square feet compared with those with more than
60. The amount of income spent on housing is an important component of the cost of living. The total costs of housing for homeowners might include mortgage payments, property taxes, and utility costs (water, heat, electricity). An economist selected a sample of 20 homeowners in Regina and then
59. A goal of financial literacy for children is to learn how to manage money wisely. One question is: how much money do children have? A recent study by Schnur Educational Research Associates revealed the following sample information regarding the monthly allowance that children receive. Is it
58. The city of Laguna Beach operates two public parking lots. The one on Ocean Drive can accommodate up to 125 cars and the one on Rio Rancho can accommodate up to 130 cars. City planners are considering both increasing the size of the lots and changing the fee structure. To begin, the Planning
57. The Index of Consumer Confidence, published by The Conference Board of Canada, is survey of Canadian households that has been ongoing since 1980. It measures consumers’ levels of optimism regarding current economic conditions and is based on a typical sample of 2000 households. Last month,
56. Personnel in a consumer testing laboratory are evaluating the absorbency of paper towels. They wish to compare a set of store brand towels to a similar group of name brand ones. For each brand they dip a ply of the paper into a tub of fluid, allow the paper to drain back into the vat for two
55. A company is researching the effectiveness of a new design to decrease the time to access a website. Ten website users were randomly selected—five accesses websites using the old web design, and the other five accessed websites using the new web design, and their times (in seconds) to access
54. To compare the effect of weather on soft drink sales, a distributor surveyed people in Vancouver to ask if they purchased soft drinks in the months of January and June. The following are the results: January June Sample size 1000 1000 Number who purchased 400 450 Given the survey results, can
53. An investigation of the effectiveness of a training program to improve customer relationships included a pretraining and post-training customer survey. To compare the differences, they computed (post-training survey score – pre-training survey score). Seven customers were randomly selected
52. Ten randomly selected statistics questions were given 15 multiple-choice questions and 15 open-ended questions, all on the same material. The professor was interested in determining if students scored higher on the open-ended questions. Each mark is out of 15. The results are as follows:
51. The AP-Petside.com poll contacted 300 married women and 200 married men. All owned pets. One hundred of the women and 36 of the men replied that their pets are better listeners than their spouses. At the 0.05 significance level, is there a difference between the responses of women and men?
50. The following data on annual rates of return were collected from five stocks listed on the New York Stock Exchange (NYSE, or the “Big Board”) and five stocks listed on NASDAQ. At the 0.10 significance level, can we conclude that the annual rates of return are higher on the Big Board? NYSE
49. An investigation of the effectiveness of an antibacterial soap in reducing operating room contamination resulted in the following table. The new soap was tested in a sample of eight operating rooms in the Cambridge area during the last year. Operating Room ABCDEFGH Before 6.6 6.5 9.0 10.3 11.2
48. The following data resulted from a taste test of two different chocolate bars. The first number is a rating of the taste, which could range from 0 to 5, with a 5 indicating the person liked the taste. The second number indicates whether a “secret ingredient” was present. If the ingredient
47. Fairfield Homes is developing two parcels of land near White Pigeon. To test different advertising approaches, it uses different media to reach potential buyers. The mean annual family income for 15 people making inquiries at the first development is $150 000, with a standard deviation of $40
46. The president of an insurance company wants to compare the yearly costs of auto insurance offered by two leading competitors. He selects a sample of 15 families, some with only a single insured driver, others with several teenage drivers, and pays each family a stipend to contact the two
45. Lester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism, which he thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, he began a fitness
44. A number of minor automobile accidents occur at various high-risk intersections despite traffic lights. The traffic department claims that a modification in the type of light will reduce these accidents. The traffic commissioners have agreed to a proposed experiment. Eight intersections were
43. The manufacturer of an MP3 player wanted to know whether a 10% reduction in price is enough to increase the sales of its product. To investigate, the owner randomly selected eight outlets and sold the MP3 player at the reduced price. At seven randomly selected outlets, the MP3 player was sold
42. Two horses, Rocky and Duke, are competing in the Coliseum Grand Prize horse race next month. To decide which is faster, they race over a part of the course several times. Below are the sample times in minutes. At the 0.05 significance level, can we conclude that there is a difference in their
41. The Commercial Bank and Trust Company is studying the use of its automatic teller machines (ATMs). Of particular interest is whether young adults (under 25 years old) use the machines more than senior citizens. To investigate further, samples of customers under 25 years of age and customers
40. The Grand Strand Family Medical Centre is specifically set up to treat minor medical emergencies for visitors. There are two facilities, one in the Little River Area and the other in Murrells Inlet. The quality control department wishes to compare the mean waiting time for patients at the two
39. The owner of Bun ’N’ Run Hamburger wishes to compare the sales per day at two locations. The mean number sold for 10 randomly selected days at the Northside site was 83.55, and the standard deviation was 10.50. For a random sample of 12 days at the Southside location, the mean number sold
38. A financial services company has 39 female top executives (presidents or vice presidents) among its 388 senior managers in its Banking Services division, while only 11 female top executives among its 307 senior managers in its Investment Services division. Test at the 0.05 significance level if
37. Century Business Products tested 180 white board markers that they had in stock and found that 13 failed to perform adequately and had to be replaced immediately. The same test was applied to a sample of 67 white board markers from a new supplier and found that 7 of those failed. Use the 0.05
36. A study was conducted to determine if there was a difference in the humour content in British and Canadian trade magazine advertisements. In an independent random sample of 270 Canadian trade magazine advertisements, 56 were humorous. An independent random sample of 203 British trade magazines
35. In a poll recently conducted at a downtown college, 68 out of 98 male students and 45 out of 85 female students expressed “at least some support” for implementing regulations to limit greenhouse gases. Test, at the 0.05 significance level, if the population proportions are equal.
34. Two major cell phone providers want to investigate whether there is a difference in the proportion of times a call is successful. During a one-week period, 500 calls were placed at random times throughout the day and night to the first provider, and 450 calls were successful. A similar one-week
33. As part of a recent survey among dual-wage-earner couples, an industrial psychologist found that 990 men out of the 1500 surveyed believed the division of household duties was fair. A sample of 1600 women found 970 believed the division of household duties was fair. At the 0.01 significance
32. Each month the National Association of Purchasing Managers (NAPM) publishes the NAPM index. One of the questions asked on the survey to purchasing agents is: do you think the economy is expanding? Last month, of the 300 responses, 160 answered yes to the question. This month, 170 of the 290
31. Suppose the manufacturer of ibuprofen, a common headache remedy, recently developed a new formulation of the drug that is claimed to be more effective. To evaluate the new drug, a sample of 200 current users is asked to try it. After a one-month trial, 180 indicated the new drug was more
30. A computer manufacturer offers a help line that purchasers can call for help 24 hours a day, 7 days a week. Clearing these calls for help in a timely fashion is important to the company’s image. After telling the caller that resolution of the problem is important, the caller is asked whether
29. A cell phone company offers two plans to its subscribers. At the time new subscribers sign up, they are asked to provide some demographic information. The mean yearly income for a sample of 40 subscribers to Plan A is $57 000 with a standard deviation of $9200. For a sample of 30 subscribers to
28. A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 1.20 cups per day and for those drinking decaffeinated coffee
27. Fry Brothers Heating and Air Conditioning Inc. employs Larry Clark and George Murnen to make service calls to repair furnaces and air conditioning units in homes. Tom Fry, the owner, would like to know whether there is a difference in the mean number of service calls they make per day. A random
26. Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the afternoon shift than on the day shift. A sample of 54 day-shift workers showed that the mean number of units produced was 345. A sample of 60 afternoon-shift workers
25. An official of the Ministry of Transport wants to compare the useful life, in months, of two brands of paint used for striping roads. The mean number of months Cooper Paint lasted was 36.2. The official reviewed 35 road stripes. For King Paint, the mean number of months was 37.0. The official
24. The Simone Company is considering a new computer program to speed up the processing of its inventory. Two programs are being considered: Program A and Program B. To test the programs, 50 employees were divided into two groups of 25. The mean processing time of Program A was 30 seconds with a
23. A recent study focused on the number of times men and women who live alone buy takeout dinners in a month. The information is summarized below: Number of Dinners per Month Statistic Men Women Mean 24.51 22.69 Population standard deviation 4.48 3.86 Sample size 35.00 40.00 At the 0.01
22. The federal government recently granted funds for a special program designed to reduce crime in high-crime areas. A study of the results of the program in eight high-crime areas yielded the following results: Number of Crimes by Area A B C D E F GH Before 14 7 4 5 17 12 8 9 After 2 7 3 6 8 13
21. The management of Discount Furniture designed an incentive plan for salespeople. To evaluate this innovative plan, 12 salespeople were selected at random, and their weekly incomes before and after the plan were recorded. Salesperson Before After Sid Mahone $320 $340 Carol Quick 290 285 Tom
20. The null and alternative hypotheses are: H0 : μd = 0 H1 : μd ≠ 0 The following paired observations show the number of traffic citations given for speeding by Officer Dhondt and Officer Meredith of the Ontario Provincial Police (OPP) for the last five months: May June July August September
19. The null and alternative hypotheses are: H0 : μd ≤ 0 H1 : μd > 0 The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a sample of four days last month: Day 1234 Day shift 10 12 15 11 Afternoon shift 8 9 12 15 At the 0.05
18. The Milton Area Chamber of Commerce wanted to know whether the mean weekly salary of nurses was larger than that of school teachers. To investigate, it collected the following information on the amounts earned last week by a sample of school teachers and nurses: School teachers ($) 845 826 827
17. Ms. Lisa Monnin is the budget director for the New Process Company. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample information: Sales ($) 131 135 146 165 136 142 Audit ($) 130 102 129 143 149 120 139 At the 0.10
16. A recent study compared the time spent together by single- and dual-earner couples. According to the records kept by the wives during the study, the mean amount of time spent together watching television among the single-earner couples was 61 minutes per day, with a standard deviation of 15.5
15. A sample of scores on an examination given in Statistics 201 is as follows: Men 72 69 98 66 85 76 79 80 77 Women 81 67 90 78 81 80 76 At the 0.01 significance level, is the mean grade of the women higher than that of the men? Calculate and interpret the p-value.
14. The null and alternative hypotheses are: H0 : μ1 − μ2 = 0 H1 : μ1 − μ2 ≠ 0 A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample
13. The null and alternative hypotheses are: H0 : μ1 − μ2 = 0 H1 : μ1 − μ2 ≠ 0 A random sample of 10 observations from one population revealed a sample mean of 23 and a sample deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and a
12. The research department at the home office of Superior Insurance conducts ongoing research on the causes of automobile accidents, the characteristics of the drivers, and so on. A random sample of 400 policies written on single persons revealed 120 had at least one accident in the previous

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