2.99 See Answer

Question: a. A random sample of 100 observations


a. A random sample of 100 observations was drawn from a normal population. The sample variance was calculated to be s2 = 220. Test with _ = .05 to determine whether we can infer that the population variance differs from 300.
b. Repeat Part a changing the sample size to 50.
c. What is the effect of decreasing the sample size?


> Find the probabilities. P(Z < −1.80)

> Find the probabilities. P(Z < −1.39)

> Chlorofluorocarbons (CFCs) are used in air conditioners. However, CFCs damage the ozone layer, which protects us from the sun’s harmful rays. As a result, many jurisdictions have banned the production and use of CFCs. The latest jurisdiction to do so is

> According to the American Contract Bridge League (ACBL) bridge hands that contain two 4-card suits, one 3-card suit and one 2-card suit (4-4-3-2) occur with 21.55% probability. Suppose that a bridge-playing statistics professor with too much time on his

> Find the probability. P(Z < 1.60)

> Refer to Exercise 12.112. Do the data allow us to conclude that more than 90% of all business students would rate it as at least adequate? Data from Exercise 12.112: A professor of business statistics recently adopted a new textbook. At the completion o

> A professor of business statistics recently adopted a new textbook. At the completion of the course, 100 randomly selected students were asked to assess the book. The responses are as follows: Excellent (1), Good (2), Adequate (3), Poor (4) The results

> Because television audiences of newscasts tend to be older (and because older people suffer from a variety of medical ailments) pharmaceutical companies’ advertising often appears on national news in the three networks (ABC, CBS, and NBC). The ads concer

> An important decision faces Christmas holiday celebrator: buy a real or artificial tree? A sample of 1,508 male and female respondents 18 years of age and over was interviewed. Respondents were asked whether they preferred a real (1) or artificial (2) tr

> An increasing number of people are giving gift certificates as Christmas presents. To measure the extent of this practice, a random sample of people was asked (survey conducted December 26–29) whether they had received a gift certificate for Christmas. T

> The results of an annual Claimant Satisfaction Survey of policyholders who have had a claim with State Farm Insurance Company revealed a 90% satisfaction rate for claim service. To check the accuracy of this claim, a random sample of State Farm claimants

> Use a computer to find the following values of F. a. F.05, 70, 70 b. F.01, 45, 100 c. F.025, 36, 50 d. F.05, 500, 500

> According to the Internal Revenue Service (IRS) in 2009 the top 5% of American income earners earned more than $153,542 and the top 1% earned more than $388,806. The top 1% pay slightly more than 40% of all federal income taxes. To determine whether Amer

> Refer to Exercise 12.105. If the number of professors between the ages of 55 and 64 is 75,000, estimate the total number of such professors who plan to retire early. Data from Exercise 12.105: There is a looming crisis in universities and colleges acros

> There is a looming crisis in universities and colleges across North America. In most places’ enrollments are increasing requiring more instructors. However, there are not enough PhDs to fill the vacancies now. Moreover, among current professors, a large

> Refer to Exercise 12.103. Those who hate or dislike doing their taxes were asked the reason. The responses are: 1 = Pay too much taxes, 2 = Complicated/too much paperwork, 3 = Inconvenient/ time consuming, 4 = Don’t like how government uses tax money, 5

> A national survey conducted by Pew Research asked a random sample of 974 American adults how they felt about doing their taxes. The responses are: 1 = Love it, 2 = Like it, 3 = Neither like nor dislike it, 4 = Dislike it, 5 = Hate it. There are 234,564,0

> A management professor was in the process of investigating the relationship between education and managerial level achieved. The source of his data was a survey of 385 CEOs of medium and large companies. He discovered that there was only one CEO who did

> Spam is of concern to anyone with an e-mail address. Several companies offer protection by eliminating spam e-mails as soon as they hit an inbox. To examine one such product, a manager randomly sampled his daily e-mails for 50 days after installing spam

> In Chapter 6, we discussed how an understanding of probability allows one to properly interpret the results of medical screening tests. The use of Bayes’s Law requires a set of prior probabilities, which are based on historical records. Suppose that a ph

> Refer to Exercise 12.98. Assuming that there are 1 million travelers per year and the fare is $3.00 estimate with 95% confidence the amount of revenue lost each year. Data from Exercise 12.98: The GO transportation system of buses and commuter trains op

> The GO transportation system of buses and commuter trains operates on the honor system. Train travelers are expected to buy their tickets before boarding the train. Only a small number of people will be checked on the train to see whether they bought a t

> What type of educational background do CEOs have? In one survey, 344 CEOs of medium and large companies were asked whether they had an MBA degree. There were 97 MBAs. Estimate with 95% confidence the proportion of all CEOs of medium and large companies w

> Has the recent drop in airplane passengers resulted in better on-time performance? Before the recent downturn one airline bragged that 92% of its flights were on time. A random sample of 165 flights completed this year reveals that 153 were on time. Can

> A dean of a business school wanted to know whether the graduates of her school used a statistical inference technique during their first year of employment after graduation. She surveyed 314 graduates and asked about the use of statistical techniques. Af

> In some states, the law requires drivers to turn on their headlights when driving in the rain. A highway patrol officer believes that less than one-quarter of all drivers follow this rule. As a test, he randomly samples 200 cars driving in the rain and c

> A statistics practitioner working for major league baseball wants to supply radio and television commentators with interesting statistics. He observed several hundred games and counted the number of times a runner on first base attempted to steal second

> Suppose that you used the sample size calculated in Exercise 12.89 and found p^ = .5. a. Estimate the population proportion with 90% confidence. b. Is this the result you expected? Explain. c. If you were hired to conduct this analysis, would the person

> Suppose that you used the sample size calculated in Exercise 12.89 and found p^ = .92. a. Estimate the population proportion with 90% confidence. b. Is this the result you expected? Explain. c. If you were hired to conduct this analysis, would the person

> Suppose that you used the sample size calculated in Exercise 12.89 and found p^ = .75. a. Estimate the population proportion with 90% confidence. b. Is this the result you expected? Explain.

> Re-do Exercise 12.86 assuming that you know that the sample proportion will be no less than .75. Data from Exercise 12.86: Determine the sample size necessary to estimate a population proportion to within .03 with 90% confidence assuming you have no kno

> Suppose that you used the sample size calculated in Exercise 12.86 and found p^ = .75. a. Estimate the population proportion with 90% confidence. b. Is this the result you expected? Explain. c. If you were hired to conduct this analysis, would the person

> Suppose that you used the sample size calculated in Exercise 12.86 and found p^ = .5. a. Estimate the population proportion with 90% confidence. b. Is this the result you expected? Explain.

> Determine the sample size necessary to estimate a population proportion to within .03 with 90% confidence assuming you have no knowledge of the approximate value of the sample proportion.

> a. A statistics practitioner wants to test the following hypotheses: H0: p = .70 H1: p > .70 A random sample of 100 produced p^ = .73. Calculate the p-value of the test. b. Repeat part (a) with p^ = .72. c. Repeat part (a) with p^ = .71. d. Describe the

> a. Calculate the p-value of the test of the following hypotheses given that p^ = .63 and n = 100: H0: p = .60 H1: p > .60 b. Repeat part (a) with n = 200. c. Repeat part (a) with n = 400. d. Describe the effect on the p-value of increasing the sample siz

> a. The proportion of successes in a random sample of 400 was calculated as 50%. Estimate the population proportion with 95% confidence. b. Repeat part (a) with p^ = 33%. c. Repeat part (a) with p^ = 10%. d. Discuss the effect on the width of the confiden

> a. In a random sample of 200 observations, we found the proportion of successes to be 48%. Estimate with 95% confidence the population proportion of successes. b. Repeat part (a) with n = 500. c. Repeat part (a) with n = 1000. d. Describe the effect on t

> Home blood-pressure monitors have been on the market for several years. This device allows people with high blood pressure to measure their own and determine whether additional medication is necessary. Concern has been expressed about inaccurate readings

> One problem facing the manager of maintenance departments is when to change the bulbs in streetlamps. If bulbs are changed only when they burn out, it is quite costly to send crews out to change only one bulb at a time. This method also requires someone

> The job placement service at a university observed the not unexpected result of the variance in marks and work experience of the university’s graduates: Some graduates received numerous offers whereas others received far fewer. To learn more about the pr

> Some traffic experts believe that the major cause of highway collisions is the differing speeds of cars. That is, when some cars are driven slowly while others are driven at speeds well in excess of the speed limit, cars tend to congregate in bunches, in

> One important factor in inventory control is the variance of the daily demand for the product. A management scientist has developed the optimal order quantity and reorder point, assuming that the variance is equal to 250. Recently, the company has experi

> During annual checkups physicians routinely send their patients to medical laboratories to have various tests performed. One such test determines the cholesterol level in patients’ blood. However, not all tests are conducted in the same way. To acquire m

> With gasoline prices increasing, drivers are more concerned with their cars’ gasoline consumption. For the past 5 years a driver has tracked the gas mileage of his car and found that the variance from fill-up to fill-up was 2 = 23 mpg2. Now that his car

> After many years of teaching, a statistics professor computed the variance of the marks on her final exam and found it to be 2 = 250. She recently made changes to the way in which the final exam is marked and wondered whether this would result in a redu

> The weights of a random sample of cereal boxes that are supposed to weigh 1 pound are listed here. Estimate the variance of the entire population of cereal box weights with 90% confidence. 1.05 1.03 .98 1.00 .99 .97 1.01 .96

> a. Estimate _2 with 90% confidence given that n = 15 and s2 = 12. b. Repeat part (a) with n = 30. c. What is the effect of increasing the sample size?

> a. The sample variance of a random sample of 50 observations from a normal population was found to be s2 = 80. Can we infer at the 1% significance level that _2 is less than 100? b. Repeat part (a) increasing the sample size to 100. c. What is the effect

> The manager of a restaurant believes that waiters and waitresses who introduce themselves by telling customers their names will get larger tips than those who don’t. In fact, she claims that the average tip for the former group is 18%, whereas that of th

> a. Determine β for the following test of hypothesis, given that μ = 310: H0: μ = 300 H1: μ > 300 The statistics practitioner knows that the population standard deviation is 50, the significance level is 5%, and the sample size is 81. b. Repeat part (a) w

> a. Find the probability of a Type II error for the following test of hypothesis, given that μ = 196: H0: μ = 200 H1: μ < 200 The significance level is 10%, the population standard deviation is 30, and the sample size is 25. b. Repeat part (a) with n = 10

> Repeat Exercise 9.64 assuming that the means are 140 and 138, respectively. Data from Exercise 9.64: Suppose that we have two normal populations with the means and standard deviations listed here. If random samples of size 25 are drawn from each populat

> a. Calculate the probability of a Type II error for the following hypotheses when μ = 37: H0: μ = 40 H1: μ < 40 The significance level is 5%, the population standard deviation is 5, and the sample size is 25. b. Repeat part (a) with α = 15%. c. Describe

> A statistics practitioner wants to test the following hypotheses with σ = 20 and n = 100: H0: μ = 100 H1: μ > 100 a. Using α = .10 find the probability of a Type II error when μ = 102. b. Repeat part (a) with α = .02. c. Describe the effect on β of decre

> Repeat Exercise 9.61 with samples of size 100. Data from Exercise 9.61: Independent random samples of 10 observations each are drawn from normal populations. The parameters of these populations are Population 1: μ = 280, σ = 25 Population 2: μ = 270, σ

> Determine β for the following test of hypothesis, given that μ = 48. H0: μ = 50 H1: μ < 50 α = .05, σ = 10, n = 40

> Find the probability of a Type II error for the following test of hypothesis, given that μ = 1,050. H0: μ = 1,000 H1: μ > 1,000 α = .01, σ = 50, n = 25

> Calculate the probability of a Type II error for the following test of hypothesis, given that μ = 203. H0: μ = 200 H1: μ ≠ 200 α = .05, σ = 10, n = 100

> A survey of 25- to 35-year-old Americans with professional or Ph.D. degrees was asked to report their monthly incomes. Can we conclude at the 10% significance level that the mean income exceeds $7,500 assuming that the incomes are normally distributed wi

> How well were American families doing in 2014? One very good guide is total family income (INCOME). Estimate the income for the average American family.

> When the economy is healthy many firms ask their employees to put in overtime, which usually means working more than 40 hours per week. Is the average working American working for more than 40 hours per week (HRS1)? a. Conduct a test to answer the questi

> Americans are getting married (if at all) at a higher age than in the past. A marketing manager for a baby food maker wanted an estimate of how old are Americans when they have their first child (AGEKDBRN). Estimate the mean and describe whether the requ

> Is there sufficient evidence to infer that the proportion of White Americans has decreased since the 2010 census (RACE: 1 = White)?

> Access the financial statements of Loblaw Companies Limited for its year ended January 3, 2015. The statements are available on the company’s website or SEDAR (www.sedar.com). Instructions: (a) Loblaw’s balance sheet reports an item entitled “Capital Se

> Guas Inc., a major retailer of bicycles and accessories, operates several stores and is a publicly traded company. The company is currently preparing its statement of cash flows. The comparative statement of financial position and income statement for Gu

> Tuit Inc., a greeting card company that follows ASPE, had the following statements prepared as at December 31, 2017: Additional information: 1. Dividends on common shares in the amount of $6,000 were declared and paid during 2017. 2. Depreciation expe

> The following are the transactions from Izzy Inc. concerning its allowance for doubtful accounts. Assume these are the only transactions for the year. Instructions: (a) Prepare the journal entries to record the above transactions. (b) Prepare the repo

> Malouin Corp.&acirc;&#128;&#153;s income statement for the year ended December 31, 2017 had the following condensed information: There were no purchases or sales of trading (FV-NI) investments during 2017. Malouin&acirc;&#128;&#153;s statement of finan

> Baird Corp. had the following activity in its most recent year of operations: 1. Purchase of equipment 2. Redemption of bonds 3. Conversion of bonds into common shares 4. Sale of building 5. Depreciation of equipment 6. Exchange of equipment for furnitur

> Dunrobin Industries Ltd., which uses IFRS, had the following transactions during its most recent fiscal year. 1. Received a shipment of raw materials inventory purchased on account. 2. Declared a cash dividend on common shares. 3. Collected cash from ten

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> Access the annual report of Canadian Tire Corporation for its year ended January 2, 2016 from the company’s website or SEDAR (www.sedar. com). According to Note 1 to the financial statements, the company operates in three main segments: retail, a real es

> Yates Manufacturing Ltd. is preparing its year-end financial statements. Yates is a private enterprise. The controller, Theo Kimbria, is confronted with several decisions about statement presentation for the following items. 1. The company has decided to

> The following are various types of accounting changes: ______ 1. Change in a plant asset’s residual value ______ 2. Change due to an overstatement of inventory (in the preceding period) ______ 3. Change from sum-of-the-years’-digits to straight-line meth

> Field Corp.’s controller was preparing the year-end adjusting entries for the company’s year ended December 31, 2017, when the V.P. Finance called him into her office. “Jean-Pierre,” she said, “I’ve been considering a couple of matters that may require d

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2.99

See Answer