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

11. A nationwide sample of influential Liberals and Conservatives was asked as a part of a comprehensive survey whether they favoured lowering environmental standards so that high-sulphur coal could be burned in coal-fired power plants. The results were: Liberals Conservatives Number sampled 1000
10. The GfK Custom Research Organization conducted identical surveys five years apart. One question asked women was, “Are most men basically kind, gentle, and thoughtful”? The earlier survey revealed that, of the 3000 women surveyed, 2010 said that they were. In the later survey, 1530 of the
9. The Damon family owns a large grape vineyard in the Niagara Peninsula. The grapevines must be sprayed at the beginning of the growing season to protect them against various insects and diseases. Two new insecticides have just been marketed: Pernod 5 and Action. To test their effectiveness, six
8. The null and alternative hypotheses are: H0 : p1 − p2 = 0 H1 : p1 − p2 ≠ 0 A sample of 200 observations from the first population indicated that X1 is 170. A sample of 150 observations from the second population revealed X2 to be 110. Use the 0.05 significance level to test the
7. The null and alternative hypotheses are: H0 : p1 − p2 ≤ 0 H1 : p1 − p2 > 0 A sample of 100 observations from the first population indicated that X1 is 70. A sample of 150 observations from the second population revealed X2 to be 90. Use the 0.05 significance level to test the
6. Mary Jo Fitzpatrick is the vice president for nursing services at St. Luke’s Memorial Hospital. Recently, she noticed that in the job postings for nurses, unionized jobs seemed to offer higher wages. She decided to investigate this and gathered the following sample information: Group Mean Wage
5. A financial analyst wants to compare the turnover rates, in percentages, for shares of oil-related stocks versus other stocks, such as General Electric (GE) and IBM. She selected 32 oil-related stocks and 49 other stocks. The mean turnover rate of oil-related stocks is 31.4% and the population
4. As part of a study of corporate employees, the director of human resources for PNC Inc. wants to compare the distance travelled to work by employees at its downtown and midtown offices. A sample of 35 downtown employees showed they travel a mean of 595 kilometres (km) per month. A sample of 40
3. The Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor’s. A sample of 40 babies using the Gibbs products revealed a mean weight gain of 3.5 kilograms (kg) in the first three months after birth. For the Gibbs brand, the standard deviation
2. A sample of 65 observations is selected from one population with a population standard deviation of 0.75. The sample mean is 2.67. A sample of 50 observations is selected from a second population with a population standard deviation of 0.66. The sample mean is 2.59. Conduct the following test of
1. A sample of 40 observations is selected from one population with a population standard deviation of 5. The sample mean is 102. A sample of 50 observations is selected from a second population with a population standard deviation of 6. The sample mean is 99. Conduct the following test of
4. MegaStat steps for hypothesis testing for the proportion example are as follows:a. Select MegaStat, Hypothesis Tests and Proportion vs. Hypothesized Value.b. In the Observed column, enter 1550 for X and 2000 as n. In the Hypothesized column, enter .8 for p. Select less than for the
3. MegaStat steps for hypothesis testing for the mean time customers are parked in the public parking lot example are as follows:a. In an Excel spreadsheet, enter Parking Time in cell A3 and the data in cells A4: A15 This is the data input.b. Select MegaStat, Hypothesis Tests and Mean vs.
2. MegaStat steps for hypothesis testing for the McFarland Insurance Company example are as follows:a. In an Excel spreadsheet, enter McFarland Insurance Company in cell A3 and the data in cells A4 to A29. This is the data input.b. Select MegaStat, Hypothesis Tests, and Mean vs. Hypothesized
1. MegaStat steps for hypothesis testing for the Jamestown Steel Company example are:a. In an Excel spreadsheet, enter Jamestown Steel Company in cell A3, 203.5 in cell A4, 16 in cell A5 and 50 in cell A6. This is the summary input.b. Select MegaStat, Hypothesis Tests and Mean vs. Hypothesized
3. A recent newspaper article reported that 67% of young married couples consulted with and sought the approval of their spouse on any purchase of more than $500. A sample of 300 young married couples revealed 180 consulted with their spouse on their most recent purchase of more than $500. At the
2. The weights of full boxes of Frosted Flakes breakfast cereal follow the normal probability distribution with a mean of 485 g and a standard deviation of 13.43 g. A sample of 25 boxes packed this morning showed the mean to be 489.97 g. Can we conclude that the mean weight is more than 485 g per
1. The Park Manager at Fort Fisher State Park believes the typical park visitor spends at least 90 minutes in the park during the summer months. A sample of 18 visitors during the summer months of 2011 revealed the mean time in the park was 96 minutes with a standard deviation of 12 minutes. At the
10. To conduct a test of proportions, the value of np and n (1 - p) must be at least . (1, 5, 30, 1000)
9. The conditions are necessary to conduct a test of hypothesis about a proportion.
8. The is the probability of finding a value of the test statistic at least as extreme as the one observed, given that the null hypothesis is true.
7. When conducting a test of hypothesis for means (assuming a normal population), we use the standard normal distribution when the population is known.
6. In a -tailed test, the significance level is divided equally between the two tails. (one, two, neither)
5. The value separates the region where the null hypothesis is rejected from the region where it is not rejected.
4. The , based on sample information, is used to determine whether to reject the null hypothesis.
3. The probability of committing a Type I error is equal to the .
2. We commit a Type II error when we the null hypothesis when it is actually false.
1. The is a statement about the value of a population parameter.
70. 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. Note: select only the cities.a. Develop a 98% confidence interval for the mean list price for January 2014.b. Is it
69. Refer to the real estate data for the Saskatoon area, on Connect, which include information on home listings.a. A recent article indicated that the mean list price of the homes is less than $600 000. Can we conclude that the mean list price is $350 000? Use the 0.01 significance level. Confirm
68. Refer to the real estate data for the Halifax area, on Connect, which include information on home listings.a. A recent article indicated that the mean list price of the homes is more than $600 000. Can we conclude that the mean list price is more than $600 000? Use the 0.01 significance level.
67. 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. Note: select only the cities.a. Develop a 95% confidence interval for the mean list price for January 2014.b. Is it
66. During the 1990s, the mortality rate for lung cancer was 80 per 100 000 people. At the turn of the twenty-first century, following the establishment of newer treatments and improvements in public health advertising, a random sample of 10 000 people showed only 6 deaths from lung cancer per 100
65. After a losing season, there is a great uproar to fire the head basketball coach. In a random sample of 200 college students, 80 favour keeping the coach. Test at the 0.05 level of significance whether the proportion of students who support the coach is less than 50%.
64. According to an article appearing in The Canadian Veterinary Journal, 56% of Canadian households have at least one dog or a cat. To test the validity of the article, a random sample of 300 households showed that 180 owned pets. Do these data disagree with The Canadian Veterinary Journal data?
63. For a recent year, the mean fare to fly from Halifax, Nova Scotia, to Corner Brook, Newfoundland, on a discount ticket was $370. A random sample of round-trip discount fares on this route last month gives the following: $421 $386 $390 $430 $410 $350 $370 $380 $399 $365 $391 $375 $381 At the
62. The 2011 census reports that the average number of residents per private household in Canada is 2.5. A sample of 28 households in Swift Current showed the mean number of residents per household was 2.86 residents. The standard deviation of this sample was 1.20 residents. At the 0.05
61. According to a recent news survey, 40% of adults do not eat breakfast. A sample of 30 college students found 16 had skipped breakfast that day. Use the 0.01 significance level to check whether college students are more likely to skip breakfast.
60. Research in the gaming industry showed that 10% of all slot machines stop working each year. Short’s Game Arcade has 60 slot machines and only 3 failed last year. Use the five-step hypothesis-testing procedure at the 0.05 significance level to test whether these data contradicts the research
59. The publisher of Celebrity Living claims that the mean sales of personality magazines that feature such celebrities as Angelina Jolie or Paris Hilton are 1.5 million copies per week. A sample of 10 comparable titles shows a mean weekly sales last week of 1.3 million copies with a standard
58. A coin toss is used to decide which team gets the ball first in most sports. It involves little effort and is believed to give each side the same chance. In 45 Super Bowl games, the National Football Conference has won the coin flip 31 times. Meanwhile, the American Football Conference has won
57. A government “think tank” estimates that the typical teenager sends 50 text messages per day. To verify this statement, you call a sample of teenagers and ask them how many text messages they sent the previous day. Their responses were as follows: 51 175 47 49 44 54 145 203 21 59 42 100 At
56. A shopping centre wants to examine the amount of space required for parking. Studies indicated that 50% of staff and shoppers use public transportation. A survey of 1002 was taken, and 483 responded that they used public transportation. Is it reasonable to conclude that the survey results
55. A national grocer’s magazine reports the typical shopper spends eight minutes in line waiting to check out. A sample of 24 shoppers at the local No Frills showed a mean of 7.5 minutes with a standard deviation of 3.2 minutes. Is the waiting time at the local No Frills less than that reported
54. A fast food restaurant chain claims that lunch will be served within nine minutes of placing your order, or it is free. A sample of eight customers revealed the following waiting times in minutes: 10.1 9.3 9.2 10.2 9.3 9.6 9.4 8.8 At the 0.01 significance level, can we conclude that the waiting
52. The cost of a wedding has skyrocketed in recent years. As a result, many couples are opting to have their weddings in the Caribbean. A Caribbean vacation resort recently advertised that the cost of a Caribbean wedding was less than $10 000. Listed below is the total cost (in $ thousands) for a
51. An urban planner claims that, nationally, 20% of all families renting condominiums move during a given year. A random sample of 200 families renting condominiums in Vancouver revealed that 56 had moved during the past year. At the 0.01 significance level, does this evidence suggest that a
50. From past experience a television manufacturer found that 10% or less of its sets needed any type of repair in the first two years of operation. In a sample of 50 sets manufactured two years ago, 9 needed repair. At the 0.05 significance level, has the percentage of sets needing repair
49. Past experience at the Crowder Travel Agency indicated that 44% of those persons who wanted the agency to plan a vacation for them wanted to go to Europe. During the most recent busy season, a sampling of 1000 plans was selected at random from the files. It was found that 480 persons wanted to
48. The policy of the Suburban Transit Authority is to add a bus route if more than 55% of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 42 would use a proposed route from Bowman Park to the downtown area. Does the Bowman-to-downtown
47. Tina Dennis is the comptroller for Meek Industries. She believes that the current cash-flow problem at Meek is due to the slow collection of accounts receivable. She believes that more than 60% of the accounts are in arrears more than three months. A random sample of 200 accounts showed that
46. The campus bookstore reported that students paid an average of $267 per semester for textbooks. To verify this statement, the student union decided to select a random sample of students and found the following amounts, in dollars, spent for textbooks: $321 286 290 330 310 250 270 280 299 265
45. Many grocery stores and large retailers such as Loblaws and Wal-Mart have installed self-checkout systems so shoppers can scan their own items and cash out themselves. How do customers like this service, and how often do they use it? The results of a sample of the numbers of customers using
44. Listed below is the rate of return for one year (reported in percentage) for a sample of 12 mutual funds that are classified as taxable money market funds: 4.63 4.15 4.76 4.70 4.65 4.52 4.70 5.06 4.42 4.51 4.24 4.52 Using the 0.05 significance level, is it reasonable to conclude that the mean
43. The Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time during a week. A sample of 18 watches provided the following gains (+) or losses (-) in seconds per week. -0.38 -0.20 -0.38 -0.32 +0.32 -0.23 +0.30 +0.25 -0.10 -0.37 -0.61 -0.48 -0.47 -0.64
42. During the recent seasons, Major League Baseball has been criticized for the length of games. A report indicated that the average game lasts 3 hours and 30 minutes. A sample of 17 games revealed the following times to completion. (Note that the minutes have been changed to fractions of hours,
41. www.golfsmith.com receives an average of 6.5 returns per day from online shoppers. For a sample of 12 days, it received the following number of returns: 0 4 3 4 9 4 5 9 1 6 7 10 At the 0.01 significance level, can we conclude the mean number of returns is less than 6.5?
40. The post-anesthesia care area (recovery room) at St. Luke’s Hospital was recently enlarged. The hope was that with the enlargement the mean number of patients per day would be more than 25. A random sample of 15 days revealed the following numbers of patients: 25 27 25 26 25 28 28 27 24 26 25
39. It is estimated that a typical college student drinks about 23 L of water per year, or 1.92 L per month. A sample of 12 college students revealed the following amounts of water consumed last month: 1.75 1.96 1.57 1.82 1.85 1.82 2.43 2.65 2.60 2.24 1.69 2.66 At the 0.05 significance level, is
38. The 30-year mortgage rate is now less than 6.0%. A sample of eight financial institutions in Canada showed the mean mortgage rate to be 5.6375% with a standard deviation of 0.6346%. At the 0.01 significance level, can we conclude that the 30-year mortgage rate is less than 6.0%? Determine or
37. In recent years, interest rates on home mortgages have been lowered to less than 6.0%. However, a recent study shows that the rate charged on credit card debt is more than 14%. A sample of 10 credit cards showed that the mean rate charged is 15.64% with a standard deviation of 1.561%. Is it
36. A recent article in Vitality magazine reported that the mean amount of leisure time per week for men is 40.0 hours. You believe this figure is too large and decide to conduct your own test. In a random sample of 60 men, you find that the mean is 37.8 hours of leisure per week and that the
35. Global TV news, in a segment on the price of gasoline, reported last evening that the mean price nationwide is $1.25 per litre for self-serve regular unleaded. A random sample of 35 stations in Edmonton revealed that the mean price was $1.27 per litre and that the standard deviation was $0.05
34. A real estate sales agency specializes in selling vacation property. Its records indicate that the mean selling time of vacation property is 90 days. However, it believes that because of the recent hurricanes, the mean selling time is now greater than 90 days. A survey of 100 properties sold
33. A recent survey states that the typical adult gets a mean of seven hours sleep per night. A random sample of 50 university students found that the mean number of hours slept the previous night was 6 hours and 48 minutes (6.8 hours). The standard deviation of the sample was 0.9 hours. Is it
32. Dole Pineapple Inc. is concerned that the 450 mL can of sliced pineapple is being overfilled. The population standard deviation is 0.85 mL. The quality control department took a random sample of 50 cans and found that the arithmetic mean volume was 451.4 mL. At the 5% level of significance, can
31. A new weight-watching company, Weight Reducers International, advertises that those who join will lose, on the average, 10 pounds the first two weeks. The population standard deviation is 2.8 pounds. A random sample of 50 people who joined the new weight reduction program revealed the mean loss
30. The Rutter Nursery Company packages its mulch in 50-kg bags. From a long history, the shipping department reports that the distribution of the bag masses follows the normal distribution and the standard deviation of this process is 3 kg per bag. At the end of each day, Jeff Rutter, the shipping
29. According to the local union president, the mean gross income of plumbers is normally distributed, with a mean of $60 000 and a standard deviation of $6000. An investigative reporter for the local television station recently found, for a sample of 120 plumbers, the mean gross income was $62
28. Research at a university indicates that 50% of the students change their major area of study after their first year in a program. A random sample of 100 students in business revealed that 48 had changed their major area of study after their first year of the program. Has there been a
27. Chicken Delight claims that 90% of its orders are delivered within 10 minutes of the time the order is placed. A sample of 100 orders revealed that 82 were delivered within the promised time. At the 0.01 significance level, can we conclude that less than 90% of the orders are delivered in less
26. A recent article in a magazine reported that a job awaits only one in three new college graduates. The major reasons given were an overabundance of college graduates and a weak economy. A survey of 200 recent graduates revealed that 80 students had jobs. At the 0.02 significance level, can we
25. An Ontario safety council reported that 52% of highway drivers are men. A sample of 300 cars travelling southbound on Highway 400 yesterday revealed that 170 were driven by men. Can we conclude that a larger proportion of men were driving on Highway 400 than the provincial figures indicate?
24. The following hypotheses are given: H0: p = 0.40 H1: p ≠ 0.40 A sample of 120 observations revealed that p = 0.30. At the 0.05 significance level, can the null hypothesis be rejected?a. State the decision rule.b. Compute the value of the test statistic.c. What is your decision regarding the
23. The following hypotheses are given: H0: p ≤ 0.70 H1: p > 0.70 A sample of 100 observations revealed that p = 0.75. At the 0.05 significance level, can the null hypothesis be rejected?a. State the decision rule.b. Compute the value of the test statistic.c. What is your decision regarding the
22. Hugger Polls contends that an agent conducts a mean of 53 in-depth home surveys every week. A streamlined survey form has been introduced, and Hugger wants to evaluate its effectiveness. The numbers of in-depth surveys conducted during a week by a random sample of agents are as follows: 53 57
21. A college states that the mean number of kilometres per day that students travel for classes is 4.0. A study is done each year to verify the statement. The study for 2008 was done in the fall semester. The results were: 4, 4, 3, 2, 6, 8, 7, 1, 9, 3, 1, and 6. At the 0.05 level, can we conclude
20. The liquid chlorine added to swimming pools to combat algae has a relatively short shelf life before it loses its effectiveness. Records indicate that the mean shelf life of a 4.5-litre (L) jug of chlorine is 2160 hours (90 days). As an experiment, Holdlonger was added to the chlorine to find
19. The mean mass of the puppies at five months is 4.35 kg. The masses follow the normal distribution. In an effort to increase their mass, a supplement is added to their daily meals. The subsequent masses of a sample of five-month-old puppies were (in kilograms): 4.41 4.37 4.33 4.35 4.30 4.39 4.36
18. Given the following hypotheses: H0: μ = 100 H1: μ ≠ 100 A random sample of six resulted in the following values: 118, 105, 112, 119, 105, and 111. Using the 0.05 significance level, can we conclude the mean is different from 100?a. State the decision rule.b. Compute the value of the test
17. Given the following hypotheses: H0: μ ≤ 20 H1: μ < 20 A random sample of five resulted in the following values: 18, 15, 12, 19, and 21. Using the 0.01 significance level, can we conclude the population mean is less than 20?a. State the decision rule.b. Compute the value of the test
16. Most air travellers now use e-tickets. Electronic ticketing allows passengers to not worry about a paper ticket, and it costs the airline companies less to handle than paper ticketing. However, in recent times, the airlines have received complaints from passengers regarding their e-tickets,
15. A spark plug manufacturer claimed that its plugs have a mean life in excess of 35 600 km. Assume that the life of the spark plugs follows the normal distribution. A fleet owner purchased a large number of sets. A sample of 18 sets revealed that the mean life was 37 675 km and the standard
14. The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation
13. The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 40 sales calls per week on professors. Several representatives say that this estimate is too low. To investigate, a random sample
12. Given the following hypotheses: H0: μ = 400 H1: μ ≠ 400 A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the 0.01 significance level:a. State the decision rule.b. Compute the value of the test
11. Given the following hypotheses: H0: μ ≤ 10 H1: μ > 10 A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the sample standard deviation 3. Using the 0.05 significance level:a. State the decision rule.b. Compute the value of the test
10. At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average more than $80 a day in tips.” Assume that the population of daily tips is normally distributed with a standard deviation of $3.24. Over the first 35 days she was employed at the
9. A recent national survey found that high school students watched an average (mean) of 6.8 DVDs per month with a population standard deviation of 0.5 hours. The distribution of times follows the normal distribution. A random sample of 36 college students revealed that the mean number of DVDs
8. The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard deviation of 1 minute. At the Warren Road MacBurger, the quality assurance department sampled 50 customers and found that the mean waiting time was 2.75 minutes. At the 0.05
7. The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 96 600 km. The population standard deviation of the mileage is 8050 km. The Crosset Truck Company bought 48 tires and found that the mean mileage for its
6. A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the 0.03 significance level: H0: μ ≥ 220 H1: μ < 220
5. A sample of 36 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level: H0: μ ≤ 20 H1: μ > 20
4. A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.01 significance level: H0: μ ≤ 10 H1: μ > 10
3. A sample of 36 observations is selected from a normal population. The sample mean is 49, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level: H0: μ = 50 H1: μ ≠ 50
2. For each of the following, state the null hypothesis and the alternative hypothesis:a. The publisher of Celebrity Living claims that the mean sales of personality magazines featuring such celebrities as Angelina Jolie or Paris Hilton is at least 1.5 million per week. A sample of 10 comparable
1. For each of the following, state the null hypothesis and the alternative hypothesis:a. A new cash register has been installed at the Stop One Convenience Store. The manager wants to see if the new register has made a difference in the average amount of time a customer takes to be served. The
7. MegaStat steps to find the sample size for the private refuse collectors example are as follows:a. Select MegaStat, Confidence Intervals/Sample Size, and select the Sample size - p tab.b. Enter .10 for E and .5 for p.c. Select 95% as the Confidence Level, and click the Preview box to see the
6. MegaStat steps to find the sample size for the business administration example are as follows:a. Select MegaStat, Confidence Intervals/Sample Size, and select the Sample size - mean tab.b. Enter 100 for E and 1000 for the Std. Dev.
5. MegaStat steps to find the confidence interval for the Bottle Blowers of America example are as follows:a. Select MegaStat, Confidence Intervals/Sample Size, and click the Confidence interval - p tab.b. Enter .8 for p and 2000 for n.c. Select 95% as the Confidence Level, and click the Preview

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