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Understanding Business Statistics 1st edition Stacey Jones, Tim Bergquist, Ned Freed - Solutions
Two large production runs have recently been completed— one on the night shift and one on the day shift. The shop foreman takes a random sample of 100 units from each run and tests them to estimate the difference in the proportion of units in the two runs that need to be reworked. The sample from
The Costa Gravas Company wants to evaluate two different in store promotions for its latest entry into the consumer electronics market. You have matched retail stores that carry the product according to size and location. You now randomly choose five matched pairs of stores, then randomly assign
In a test of running shoes, French sporting goods manufacturer Mostelle randomly chose six amateur runners to test two of its new shoe designs. The order in which each runner tested the shoes was randomly determined. The table shows how long the test shoes lasted before they were no longer usable.
To assess the effectiveness of a new workplace safety awareness program, five employees at Potemkin Realty were randomly chosen. Before they participate in the awareness program, the five workers are given a test consisting of 100 safety related questions. After participating in the program, the
Five supermarket checkers were randomly selected to test two different checkout procedures. The order in which the procedures were assigned to each checker was random. The number of items checked in a half hour period was recorded for each checker using each procedure. Results are shown in the
Milton Electronics has just received a large shipment of rechargeable batteries that the company uses in its mobile devices. In the past, 4% of the batteries in these shipments have had voltage leaks. You plan to take a random sample of 200 of the batteries and test each battery selected to
Consider a population consisting of four family members. Each member is asked whether she plans a career in business. Below are their responses:a. Using sampling without replacement, show all six possible samples of size two that could be selected from this family population. b. Show the proportion
Refer to Exercise 50.a. Show the bar chart for the sampling distribution and comment on its shape.b. Show that the mean of the sampling distribution is exactly equal to the population proportion, .c. Show that the standard deviation of the sampling distribution is equal to
You have four stocks in your portfolio. Three of the stocks decreased in value this month, while the value of the third stock increased:a. Using sampling without replacement, show all 6 possible samples of size 2 that could be selected from this population of stocks. b. Show the proportion of
Refer to Exercise 52.a. Show the bar chart for the sampling distribution and comment on its shape.b. Show that the mean of the sampling distribution is exactly equal to the population proportion, .c. Show that the standard deviation of the sampling distribution is equal to
You want to estimate the proportion of your classmates who plan to spend their junior year abroad. You take a simple random sample of 100 classmates from the class population. Twelve students in the sample indicate that they plan a junior year abroad. a. Build a 95% interval estimate of the overall
You want to estimate the proportion of gas stations in the state that have stopped accepting cash. You take a simple random sample of 150 stations. Twelve stations in the sample indicate that they have stopped accepting cash. a. Build a 95% interval estimate of the overall station proportion based
A poll was conducted by telephone by Harris Interactive Polling between Feb. 9 and Feb. 16 among a cross section of 1020 randomly chosen adults. One of the questions asked was “Do you think that airlines should provide personal identifying data about passengers to federal agencies to assist in
World Review, the monthly newsmagazine, has recently changed its format (more holiday recipes and cartoons, less political commentary) and is interested in subscriber response. In a randomly selected sample of 200 subscribers, 64% (that is, 128 subscribers) said they preferred the old format.
In a recent random sample of 1350 registered Democrats across the country, 525 of those surveyed expressed opposition to a government proposal to relax trade restrictions with Cuba. a. Use the sample information to build the 95% confidence interval estimate of the proportion of all Democrats
The Consumer Confidence Survey is conducted monthly for The Conference Board, an organization that reports on a number of economic indicators. The survey is based on a representative sample of 3000 US households. In a recent survey, the percentage of households in the sample who said they expected
It has been reported that 25% of the homes in the Minneapolis, Minnesota area have been fully weatherized within the past 10 years. You plan to take a random sample of 100 area homes and will compute the proportion of homes in the sample that have been fully weatherized within the past 10 years.
The FAA is concerned about the increasingly high proportion of Axiom Airlines flights that arrive more than 30 minutes after their scheduled arrival times. You select a simple random sample of 100 Axiom flight records for the past year, and discover that for 40 of these sampled flights, the planes
There is concern that too many newly created jobs in the economy are low paying service industry positions. In a random sample of 1500 newly created positions (out of a total of approximately 130,000 new jobs), 810 could be accurately classified as low paying service industry positions. a. Use this
The RoperASW Outlook survey was conducted via telephone among 1000 Americans ages 18 and older. The random sample is representative of the adult population in the United States. RoperASW reports that 73% of the people in the sample survey said that their biggest personal concern for the future was
Topaz Research is planning to sample area television viewers in order to estimate the proportion of all TV sets that were tuned to Channel 4 to watch the latest NBC miniseries. a. If the company intends to produce a 95% confidence interval that will be no wider than 4 percentage points (.04), how
Tri State Bank wants to determine the proportion of its customers who would take advantage of its proposed new interest bearing checking account, and plans to select a simple random sample to make an appropriate estimate. It wants a sample size that will ensure a 95% probability that the actual
The marketing director at Homecare Products wants to measure the response of customers to the company’s new cinnamon flavored toothpaste. Suppose she plans to take a simple random sample of customers and wants a margin of error no larger than .02 for a proposed 90% confidence interval estimate of
Lopez Distributors has just received a shipment of 5000 boxed pairs of mini speakers. A sample of 120 of the boxes are opened and checked. In15 of the 120 opened boxes, the speakers are mismatched. a. Produce and interpret the 95% confidence interval estimate of the total number of mismatched pairs
The administration wants to estimate the proportion of students at Pitcairn College (enrollment: 12,000) who favor a change in the pass/ fail grading system. A random sample of 200 students is selected without replacement. 85 students in the sample express support for the change. a. Construct a 90%
W. D. “Skip” Broccoli works on the production line at Magnus Industries. As his supervisor, you randomly monitor his activity throughout the 40 hour workweek. Checking at 50 randomly selected times during the week, you find that “Skip” is on break (away from his job) 11 times. a. Using a
Suppose you want to estimate the proportion of classmates who plan to spend their junior year abroad. You take a simple random sample of 100 classmates from a total class population of 3500. Twelve students in the sample indicate that they plan a junior year abroad. a. Build a 95% interval estimate
It is estimated that 30% percent of all the trees in the El Toro National Forest suffer from Yale’s disease and will die in the course of the next two decades. The Bureau of Land Management plans to inspect a sample of 250 trees in the forest. If the overall 30% figure is accurate, a. How likely
Organizers of this year’s National Agricultural Board’s conference in Iowa City are planning to draw a simple random sample of participants to determine what proportion of them plan to return next year. How large a sample size would you recommend in order to ensure that, at the 95% confidence
The Congressional Subcommittee on Taxation is interested in estimating the proportion of taxpayers who took advantage of the newly modified mortgage interest deduction on their most recent federal tax returns. a. If the subcommittee wants the estimate to be within four percentage points of the
You are planning to construct a 99% confidence interval estimate of a population proportion. You want your estimate to have a margin of error of .05. What is the minimum required sample size if the population proportion is expected to be approximately? a. .25 b. .95 c. .04
You are planning to construct a 90% confidence interval estimate of a population proportion. You want your estimate to have a margin of error of .03. What is the minimum required sample size if the population proportion is expected to be approximately? a. .05 b. .85 c. .55
There is considerable discussion within the educational community regarding the effect of school size on student performance. In one study done in Georgia, the achievement scores of a sample of “ large school” fifth grade students who took the Stanford 9 achievement test were compared to the
UltraProduct is testing two alternative order processing systems. System 1 processes orders on essentially a “first come, first served” basis. System 2 uses a more sophisticated simulation based technique. Using a sample of 50 orders processed under System 1 and 50 orders processed under System
It has been suggested that people who reach top management positions (chief executive officers, chief financial officers, etc.) are, on average, taller than those people who stay at mid level positions or below. You take a simple random sample of 400 top level managers and 400 long time mid level
A survey of wage scales for workers of comparable skill levels was conducted in different regions of the country. In the sample of 500 office workers in the Northeast, the average hourly wage was $ 11.84, with standard deviation of $ 1.23. In the Southeast, a sample of 400 office workers showed an
Two different arthroscopic surgery techniques have been developed for correcting serious knee injuries. (Call the surgical techniques Technique A and Technique B.) You are interested in assessing the difference in average healing times for the two procedures. You select 50 patients to undergo
It has been proposed that there is a difference in the number of hours of TV watched per week by “good students” (B average or better) versus “poor” students (D average or worse). You take a simple random sample of 1400 “good” students and find that the average weekly TV hours for the
For the 25 and over sample, purchase amounts average $ 146.30 with a standard deviation of $ 27.00. a. Build and interpret the 95% confidence interval estimate appropriate here. b. Suppose only 8 customers were included in each sample. Revise your interval and discuss the differences. c. For part
Chen Integrated Systems recently received a large shipment of LKP fusion units from Anderson Industries and a large shipment of similar units from Burnett Technology. You randomly select 12 of the Anderson units and 12 of the Burnett units. The Anderson sample averaged 1092 hours of useful life,
Engineers at Sorties Heap, Inc. are trying to assess the difference in average meltdown temperature for two competing brands of DB conical resonators, a component used in the manufacture of your company’s main product. They take a simple random sample of four Brand W and four Brand F units with
The effect of store layout on sales is of strong interest to retailers. In an experiment involving the layout of nonfood sections of supermarkets in the United Kingdom, researchers compared the impact of switching to alternative layouts— including the boutique layout and the free flow layout—
Political editorial writer Dee Bunker Fish is interested in campaign spending by current members of the state legislature. More specifically, she is interested in the contrast in the spending levels of Republican vs. Democratic members.Ms. Fish has taken a simple random sample of 14 Republican
A study was done by Australian researchers at Swinburne University to investigate the question of whether the efficiency of workers with a disability was different from the efficiency of fully a bled worker at a large call center engaged in telephone marketing (source: Are Workers with a Disability
Ivy Bound, Inc. offers a home study program to prepare students for the college entrance exams (the SATs), suggesting that test scores will be better for those students who follow the 10 week, $ 250 home study program. To evaluate the effectiveness of the program in your area, you take a sample of
Music Research Associates (MRA) is planning a study to estimate the difference in the average amount spent weekly on music download purchases by two different groups of consumers— teens under the age of 16 (Population1) and adults over the age of 30 (Population 2). MRA wants the interval estimate
Health Care Oregon wants to estimate the difference in the average number of sick days taken last year by two groups of employees, hourly workers and salaried employees. From the population of hourly workers you take a sample of 12 and find that the average number of sick days taken was 15.6. For a
Vannex Inc. has received two large shipments of bluray amplifiers, one from supplier A and one from supplier B. You have tested a sample of 14 amplifiers from each shipment to determine if there is a difference in the average maximum volume without distortion between the units in the two shipments.
Refer to Exercise 1. a. Show the bar chart for the sampling distribution and comment on its shape. b. Show that the mean of the sampling distribution is exactly equal to the population proportion, . c. Compute the standard deviation (p) of the sampling distribution directly from the
Accenture, a global management consulting firm, reported the results of a survey in which Internet buyers in a number of different regions of the world were sampled. Sharp differences in consumer response across regions were found. For example, in Asia, 77% of the survey respondents expressed fears
FGI Research reports that 47% of Hispanic Americans and 46% of African Americans own their homes. If this result is based on a random sample of 2000 Hispanic American adults and 2000 African American adults, build and interpret the 95% confidence interval estimate of the difference in the
The National Collegiate Athletic Association (NCAA) is concerned about the graduation rate for student athletes involved in “ revenue producing” sports, especially football and basketball, compared to the graduation rate for student athletes involved in “ non revenue” sports like swimming,
Groton Boat Supply has received shipments of 15,000 pressurized cans of fiberglass sealant from each of its two main suppliers, Alcott Industries and Brookside, Inc. Inspectors at Groton take a simple random sample of 150 of the cans from the Alcott shipment and find that 15 are under pressurized.
Soho Paint set up a market test in two separate regions of the country to examine the effects of a new wholesale pricing policy. A sample of 100 industrial customers was randomly selected from the Northeast region. Twentyeight of the customers in the sample reacted negatively to the new policy. In
To establish a comparison of customer satisfaction levels, the National Association of Auto Dealers has taken a sample of 200 recent buyers of an American made car, and 200 recent buyers of a Japanese made auto. 120 of the American car buyers and 142 of the Japanese car buyers expressed a “very
There continue to be studies regarding the link between smoking and lung cancer. In the medical records for a simple random sample of 1000 deceased smokers and 1000 deceased nonsmokers, it was found that 126 of the smokers and 20 of the non smokers died of lung cancer related causes. a. Build
To test the cleaning power of two different laundry detergents, ADG Labs randomly chooses five different fabric swatches and soils each one uniformly. Each swatch is cut in half. For each pair of soiled half swatches, one is randomly selected to be washed in Detergent A and the other is washed in
To assess the effectiveness of a new appetite reduction therapy, five subjects are randomly selected. Before participating in the therapy program, the daily calorie intake of the five participants is measured. After participating in the program, the calorie intake of the five participants is
Refer to Exercise 97. Assume the cleanliness readings were produced from two independent samples rather than from matched samples. Use the independent samples approach to produce a 95% confidence interval estimate of the average difference in cleanliness for the populations represented and compare
Nan Compos Mentis, a technical consultant, claims that she can increase average hourly productivity for the fabricators at Stryker Manufacturing by more than 10 units per worker. To support her claim, Nan plans to select a sample of workers, provide the workers in the sample with special training,
In past years the average number of errors in reports issued by the accounting section of Sterling Thompson, Inc. has been 5.2. The company now has a new reporting system in place. In a random sample of 36 recent reports issued under the new system, the average number of errors was 4.6. Can this
Mediabistro.com reports that the average business in the US has 14,709 Twitter followers. You select a random sample of 36 local businesses and find that the average number of Twitter followers in the sample is 12,950. Is this sample result sufficient evidence to make the case that the average
A recent study reported that Comcast Cable was the fastest broadband provider in the US, with an average download speed of 17.2 megabits per second (source: gigaom.com). In a sample of 49 random observations of Comcast’s performance in the greater Minneapolis area, you find an average download
The Annual Survey of Hours and Earnings (ASHE) reports the weekly earnings of full time employees in various parts of Great Britain. In a recent survey, it was reported that average earnings in Cambridgeshire are “significantly higher” than the national average. To support this argument, it was
The competing hypotheses for a particular hypothesis test are as follows: H0: μ < 1000 miles Ha: μ > 1000 miles Assume the population standard deviation is known to be 80 miles and that you intend to take a random sample of size 64. Using a significance level of .05, a. State your decision
The competing hypotheses for a particular hypothesis test are as follows: H0: μ > 2500 seconds Ha: μ < 2500 seconds Assume the population standard deviation is known to be 140 seconds and that you intend to take a random sample of size 49. Using a significance level of .10, a. state
The competing hypotheses for a particular hypothesis test are as follows: H0: μ > $ 300 Ha: μ < $ 300 Assume the population standard deviation is known to be $ 60 and that you intend to take a random sample of size 36. Using a significance level of .05, a. State your decision rule in $ s.
According to the National Center for Health Statistics, the average height for an adult female in the United States is 63.7 inches (5 feet 3.7 inches) (source: pediatrics. about. com). It is suspected that poor childhood nutrition may adversely affect the adult height of women from low income
The average weekly hours worked by production workers in the US manufacturing sector was recently reported to be 40.2 (source: bls.gov). You suspect that the average in the local area is higher. You take a random sample of 50 production workers from local manufacturing companies and find that the
The State of Florida reported that the average unemployment benefit for people who were unemployed as the result of damage done by Hurricane Charley was $ 224 (source: floridajobs.org). You take a random sample of 200 workers who were unemployed because of the damage done by Hurricane Charley and
Average delivery time for orders shipped by Manatee Printing to customers in Europe is 6.5 days. You plan to try a new shipping service that promises to reduce that time. You intend to select a random sample of orders to be delivered by the company and use results from the sample in a hypothesis
Over the past five years, the average time to resolve customer complaints at Allen Retailing has been 3.4 days. Allen has recently instituted a new complaint processing procedure and tested it on a random sample of 75 complaints. The average time to resolve the complaints in the sample was 2.9
The competing hypotheses for a hypothesis test are as follows: H0: μ < 1000 Ha: μ > 1000 Assume the population standard deviation is known to be 80. A random sample of size 64 has a sample mean of 1020. a. Calculate the p value for the sample result. b. For a significance level of .05,
The competing hypotheses for a hypothesis test are as follows: H0: μ > 500 Ha: μ < 500 Assume the population standard deviation is known to be 36. A random sample of size 81 has a sample mean of 488. a. Calculate the p value for the sample result.b. For a significance level of .10, should
The competing hypotheses for a hypothesis test are as follows: H0: μ < 2500 Ha: μ > 2500 Assume the population standard deviation is known to be 200. A random sample of size 100 has a sample mean of 2560. a. Calculate the p value for the sample result. b. For a significance level of .01,
Apple reports that the average app download from its App Store earns the developer 17.5 cents (source: Forbes.com). A group of specialty app developers claims that the average for their apps is lower. In a sample of 100 of their apps, the group found that the average earnings per download was 16.2
Gethuman. com claims that the average wait time for Amazon’s Live Chat customer service option is 5 minutes (source: gethuman.com). In a sample of 100 random attempts to engage Live Chat, you find that the average wait time was 5 minutes and 30 seconds. a. Using 5 minutes as your null hypothesis,
According to Zagat’s latest edition, the average cost for a dinner at better restaurants in the US is $ 35.37. In a survey of 36 randomly selected local restaurants, you find the average cost for a dinner is $ 32.80. Is this sample result sufficient to make the case that the local average is less
Comstock Resources, a Texas oil and gas exploration company, reports that the average cost of drilling a well is $ 1.65 million (source: news. corporate. findlaw.com). Crowder Drilling claims that its new technology will reduce that average cost per well. To make its case, Crowder cites a random
The Magnus Timber Company claims that it has replanted an average of (at least) 1500 trees per acre in areas that the company has harvested. Friends of the Forest, a conservation group, insists that the average is less than 1500 trees. You take a random sample of 75 acres that Magnus has harvested
The fundamental hypothesis test in the American judicial system involves the following hypotheses: H0 : The accused is innocent. Ha: The accused is guilty. a. Describe what a Type I error would be here. b. Describe what a Type II error would be here.c. What would be the possible consequences of
In recent years the average time it takes audit teams from Trimble and Martin to complete a company audit has been 55.8 hours. In monitoring the performance of one of these audit teams recently, reviewers found that the average time for a random sample of team audits differed by nearly 6 hours from
The competing hypotheses for a hypothesis test are as follows: H0: There is no heaven or hell. Ha: There is a heaven and hell. a. Describe what a Type I error would be here. b. Describe what a Type II error would be here. c. What would be the possible consequences (costs) of these errors?
The competing hypotheses for a hypothesis test that might have been conducted circa 1491 are as follows: H0 : The earth is flat. Ha: The earth is round. a. Describe what a Type I error would be here. b. Describe what a Type II error would be here. c. What would be a possible consequence (cost)
Suppose you are testing the following hypotheses: H0: = 1000 (The population mean is 1000.) Ha: ≠ 1000 (The population mean is not 1000.) Sample size is 81. The sample mean is 975. The population standard deviation is 90. The significance level is .05. a. Compute the sample statistic, z stat.
Suppose you are testing the following hypotheses: H0: = 100 (The population mean is 100.) Ha: ≠ 100 (The population mean is not 100.) Sample size is 64. The sample mean is 107. The population standard deviation is 36. The significance level is .01.a. Compute the sample statistic, z stat. b.
Suppose you are testing the following hypotheses: H0: = 1000 Ha : ≠ 1000 Sample size is 36. The sample mean is 940. The population standard deviation is 120. The significance level is .05. a. What are the critical z scores for the test? State the decision rule. b. Compute the sample statistic,
Suppose you are testing the following hypotheses: H0: μ = 650 Ha: μ ≠ 650 Sample size is 100. The sample mean is 635. The population standard deviation is 140. The significance level is .10. a. Compute the sample statistic, z stat. b. Compute the appropriate p value for the sample mean. c.
Suppose you are testing the following hypotheses: H0: μ = 7000 Ha: μ ≠ 7000 Sample size is 144. The sample mean is 7040. The population standard deviation is 240. The significance level is .01 a. Compute the p value for the sample result. b. Should you reject the null hypothesis? Explain.
Suppose you are testing the following hypotheses: H0: μ = 60 Ha: μ ≠ 60 Sample size is 49. The sample mean is 68. The population standard deviation is 21. The significance level is .05. a. Compute the p value for the sample result. b. Should you reject the null hypothesis? Explain.
The National Center for Educational Statistics (NCES) reports that the average score for 12th graders who took the national reading test was 295 (on a scale of 1 to 500) (source: nces.ed.gov). A random sample of 100 12 th graders in Blanchet County, Alabama, schools recently took the test. Students
It is estimated that the average downtime for computer systems at businesses across the country is 175 hours a year (source: networkworld.com). In a sample of 50 companies located outside major metropolitan areas, the average downtime was 192 hours. Given the following hypotheses, H0: μ = 175 (The
The average number of online orders for Packard Espinosa Electronics is 258 per day. In a sample of 30 Tuesdays, the average number of orders was 289. If you were to use the sample average in a hypothesis test to determine if the average number of Tuesday orders differs from the overall daily
C Net. com reports that the average talk time battery life for Nokia’s model 1661 phone is 9.3 hours (source: reviews. cnet. com). In a test involving 64 recharges, you find that the average battery life is 8.9 hours for this model. Given the following hypotheses, H0: μ = 9.3 (The average talk
The Internal Revenue Service (IRS) reports that the average refund for tax filers last year was $ 2236. The IRS believes that this year’s average refund will be the same as last year’s average. The average refund in a random sample of 500 returns from this year is $ 2350. Given the following
Based on Food and Drug Administration (FDA) statistics, the average time to development of a new drug is 2500 days (source: asco.org). You track a random sample of 50 new drugs and discover that the average time to development for the drugs in the sample is 2428 days. Is this sufficient sample
According to a survey by CCH Inc., an Illinois based consulting firm specializing in human resource management, US companies granted an average of 6.9 employee sick days during the past year (source: oregonlive.com). You take a random sample of 36 local companies and find the average number of sick
Parkrose Bakery bakes large batches of rolls in huge ovens. The bakers require that halfway through each baking cycle, the average temperature for the rolls in the batch be 325oF. A higher or lower average batch temperature will require an adjustment in the oven setting. To check this condition, a
Suppose you are testing the following hypotheses: H0: μ < 1500 Ha: μ > 1500 Sample size is 25. The sample mean is 1545 and the sample standard deviation is 75. The significance level is .05. Assume that the values in the population are normally distributed. a. Compute the sample test statistic,
Suppose you are testing the following hypotheses: H0: μ > 4000 Ha: μ < 4000 Sample size is 16. The sample mean is 3920 and the sample standard deviation is 200. The significance level is .01. Assume that the values in the population are normally distributed. a. Compute the sample test statistic,
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