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mathematics
statistics

Questions and Answers of Statistics

A recent study compared the time spent together by single- and dual-earner couples. Ac-cording to the records kept by the wives during the study, the mean amount of time spent together watching
Ms. Lisa Monnin is the budget director for Nexus Media Inc. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample
The Tampa Bay (Florida) Area Chamber of Commerce wanted to know whether the mean weekly salary of nurses was larger than that of school teachers. To investigate, they collected the following
The null and alternate hypotheses are:H0: µ1 = µ2H1: µ1 ≠ µ2(a) Determine the number of degrees of freedom, (b) State the decision rule, (c) Compute the value of the test statistic, and (d)
The null and alternate hypotheses are:H0: µ1 = ≤µ2H1: µ1 ≠ > µ2A random sample of 20 items from the first population showed a mean of 100 and a standard deviation of 15. A sample of 16
A recent survey compared the costs of adoption through public and private agencies. For a sample of 16 adoptions through a public agency, the mean cost was $21,045, with a standard deviation of $835.
Suppose you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by models featuring Liz Claiborne attire with those of Calvin Klein. The
The null and alternate hypotheses are:H0: µσ ≤ 0H1: µσ > 0The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a
The null and alternate hypotheses are:H0: µσ =0H1: µσ ≠ 0The following paired observations show the number of traffic citations given for speeding by Officer Dhondt and Officer Meredith
The management of Discount Furniture, a chain of discount furniture stores in the Northeast, designed an incentive plan for salespeople. To evaluate this innovative plan, 12 salespeople were selected
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 of Miami, Florida,
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distributions follow the normal probability distribution and the population
Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the night shift than on the day shift. Assume the population standard
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
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
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
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.
One of the music industry’s most pressing questions is: Can paid download stores contend nose-to-nose with free peer-to-peer download services? Data gathered over the last 12 months show
Businesses, particularly those in the food preparation industry such as General Mills, Kellogg, and Betty Crocker, regularly use coupons as a brand allegiance builder to stimulate their retailing.
The owner of Bun ‘N’ Run Hamburgers 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
The Engineering Department at Sims Software Inc. recently developed two chemical solutions designed to increase the usable life of computer disks. A sample of disks treated with the first solution
The Willow Run Outlet Mall has two Haggar Outlet Stores, one located on Peach Street and the other on Plum Street. The two stores are laid out differently, but both store managers claim their layout
Grand Strand Family Medical Center treats minor medical emergencies for visitors to the Myrtle Beach area. There are two facilities, one in the Little River Area and the other in Murrells Inlet. 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) use the machines more than senior
Two boats, the Prada (Italy) and the Oracle (U.S.A.), are competing for a spot in the upcoming Americaâ€™s Cup race. They race over a part of the course several times. Below are a sample of
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
A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The Traffic Department claims that a modification in the type of light will
Lester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism that he thinks is related to the general health of
The president of the American Insurance Institute wants to compare the yearly costs of auto insurance offered by two leading companies. He selects a sample of 15 families, some with only a single
Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test different advertising approaches, it uses different media to reach potential buyers. The mean annual family
A candy company taste tested two chocolate bars, one with almonds and one without almonds. A panel of testers rated the bars on a scale of 0 to 5, with 5 indicating the highest taste rating. If the
An investigation of the effectiveness of an antibacterial soap in reducing operating room contamination resulted in the accompanying table. The new soap was tested in a sample of eight operating
The following data on annual rates of return were collected from five randomly selected stocks listed on the New York Stock Exchange (“the big board”) and five randomly selected stocks listed on
The city of Laguna Beach operates two public parking lots. The Ocean Drive parking lot can accommodate up to 125 cars and the Rio Rancho parking lot can accommodate up to 130 cars. City planners are
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
The CVS Pharmacy located on US 17 in Murrells Inlet has been one of the busiest pharmaceutical retail stores in South Carolina for many years. To try and capture more business in the area, CVS top
A goal of financial literacy for children is to learn how to manage money wisely. One question is: How much money do children have to manage? A recent study by Schnur Educational Research Associates
Refer to the Real Estate data, which report information on the homes sold in Goodyear, Arizona, last year.a. At the .05 significance level, can we conclude that there is a difference in the mean
Refer to the Baseball 2012 data, which report information on the 30 Major League Baseball teams for the 2012 season.a. At the .05 significance level, can we conclude that there is a difference in the
Refer to the Buena School District bus data. Is there a difference in the mean maintenance cost for the diesel versus the gasoline buses? Use the .05 significance level.
The following is a list of 24 Marco’s Pizza stores in Lucas County. The stores are identified by numbering them 00 through 23. Also noted is whether the store is corporate-owned (C) or
The following is a list of 29 hospitals in the Cincinnati (Ohio) and Northern Kentucky region. The hospitals are identified by numbering them 00 through 28. Also included is whether the hospital is a
Listed below are the 35 members of the Metro Toledo Automobile Dealers Association. We would like to estimate the mean revenue from dealer service departments. The members are identified by numbering
Listed next are the 27 Nationwide Insurance agents in the Toledo, Ohio, metropolitan area. The agents are identified by numbering them 00 through 26. We would like to estimate the mean number of
The Medical Assurance Company is investigating the cost of a routine office visit to family-practice physicians in the Rochester, New York, area. The following is a list of 39 family-practice
The manufacturer of eComputers, an economy-priced computer, recently completed the design for a new laptop model. eComputer’s top management would like some assistance in pricing the new laptop.
A population consists of the following four values: 12, 12, 14, and 16.a. List all samples of size 2, and compute the mean of each sample.b. Compute the mean of the distribution of the sample mean
A population consists of the following five values: 2, 2, 4, 4, and 8.a. List all samples of size 2, and compute the mean of each sample.b. Compute the mean of the distribution of sample means and
A population consists of the following five values: 12, 12, 14, 15, and 20.a. List all samples of size 3, and compute the mean of each sample.b. Compute the mean of the distribution of sample means
A population consists of the following five values: 0, 0, 1, 3, 6.a. List all samples of size 3, and compute the mean of each sample.b. Compute the mean of the distribution of sample means and the
In the law firm Tybo and Associates, there are six partners. Listed next is the number of cases each partner actually tried in court last month.Partner Number of CasesRuud........ 3Wu........
There are five sales associates at Mid-Motors Ford. The five associates and the number of cars they sold last week are:Sales Associate Cars SoldPeter Hankish....... 8Connie Stallter ....... 6Juan
Appendix B.4 is a table of random numbers that are uniformly distributed. Hence, each digit from 0 to 9 has the same likelihood of occurrence.a. Draw a graph showing the population distribution of
Scrapper Elevator Company has 20 sales representatives who sell its product throughout the United States and Canada. The number of units sold last month by each representative is listed below. Assume
A normal population has a mean of 60 and a standard deviation of 12. You select a random sample of 9. Compute the probability the sample mean is:a. Greater than 63.b. Less than 56.c. Between 56 and
A normal population has a mean of 75 and a standard deviation of 5. You select a sample of 40. Compute the probability the sample mean is:a. Less than 74.b. Between 74 and 76.c. Between 76 and 77.d.
According to an IRS study, it takes a mean of 330 minutes for taxpayers to prepare, copy, and electronically file a 1040 tax form. This distribution of times follows the normal distribution and the
A population consists of the following three values: 1, 2, and 3.a. Sampling with replacement, list all possible samples of size 2 and compute the mean of every sample.b. Find the means of the
In the Department of Education at UR University, student records suggest that the population of students spends an average of 5.5 hours per week playing organized sports. The population’s standard
Answer the following questions in one or two well-constructed sentences.a. What happens to the standard error of the mean if the sample size is increased?b. What happens to the distribution of the
There are 25 motels in Goshen, Indiana. The number of rooms in each motel follows:a. Using a table of random numbers (Appendix B.4), select a random sample of five motels from this population.b.
As a part of their customer-service program, United Airlines randomly selected 10 passengers from today’s 9 a.m. Chicago–Tampa flight. Each sampled passenger is to be inter-viewed in depth
At the downtown office of First National Bank, there are five tellers. Last week, the tellers made the following number of errors each: 2, 3, 5, 3, and 5.a. How many different samples of two tellers
The Quality Control Department employs five technicians during the day shift. Listed below is the number of times each technician instructed the production foreman to shut down the manufacturing
The Appliance Center has six sales representatives at its North Jacksonville outlet. Listed below is the number of refrigerators sold by each last month.a. How many samples of size 2 are possible?b.
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 35.0 hours and a standard deviation
CRA CDs Inc. wants the mean lengths of the “cuts” on a CD to be 135 seconds (2 minutes and 15 seconds). This will allow the disk jockeys to have plenty of time for commercials within each
Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $110,000. This distribution follows the normal distribution with
A recent study by the Greater Los Angeles Taxi Drivers Association showed that the mean fare charged for service from Hermosa Beach to Los Angeles International Airport is $21 and the standard
The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal
Suppose we roll a fair die two times. a. How many different samples are there? b. List each of the possible samples and compute the mean. c. On a chart similar to Chart 8–2, compare the
Human Resource Consulting (HRC) surveyed a random sample of 60 Twin Cities construction companies to find information on the costs of their health care plans. One of the items being tracked is the
Over the past decade, the mean number of hacking attacks experienced by members of the Information Systems Security Association is 510 per year with a standard deviation of 14.28 attacks. The number
An economist uses the price of a gallon of milk as a measure of inflation. She finds that the average price is $3.50 per gallon and the population standard deviation is $0.33. You decide to sample 40
Nike’s annual report says that the average American buys 6.5 pairs of sports shoes per year. Suppose the population standard deviation is 2.1 and that a sample of 81 customers will be examined next
Refer to the Real Estate data, which report information on the homes sold in the Goodyear, Arizona, area last year. Use statistical software to compute the mean and the standard deviation of the
Suppose your statistics instructor gave six examinations during the semester. You received the following grades (percent correct): 79, 64, 84, 82, 92, and 77. Instead of averaging the six scores, the
Use Appendix B.5 to locate the value of t under the following conditions.a. The sample size is 12 and the level of confidence is 95%.b. The sample size is 20 and the level of confidence is 90%.c. The
Use Appendix B.5 to locate the value of t under the following conditions.a. The sample size is 15 and the level of confidence is 95%.b. The sample size is 24 and the level of confidence is 98%.c. The
Refer to the Real Estate data, which report information on homes sold in the Goodyear, Arizona, area during the last year.a. Develop a 95% confidence interval for the mean selling price of the
The owner of Britten’s Egg Farm wants to estimate the mean number of eggs produced per chicken. A sample of 20 chickens shows they produced an average of 20 eggs per month with a standard deviation
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 16 people reveals the mean yearly consumption to be 60 gallons with a standard deviation of 20 gallons. Assume
The owner of the West End Kwick Fill Gas Station wishes to determine the proportion of customers who use a credit card or debit card to pay at the pump. He surveys 100 customers and finds that 80
Ms. Maria Wilson is considering running for mayor of the town of Bear Gulch, Montana. Before completing the petitions, she decides to conduct a survey of voters in Bear Gulch. A sample of 400 voters
The Fox TV network is considering replacing one of its prime-time crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executives commission a
The National Collegiate Athletic Association (NCAA) reported that the mean number of hours spent per week on coaching and recruiting by college football assistant coaches during the season was 70. A
As a condition of employment, Fashion Industries applicants must pass a drug test. Of the last 220 applicants, 14 failed the test. Develop a 99% confidence interval for the proportion of applicants
Fashion Industries randomly tests its employees throughout the year. Last year in the 400 random tests conducted, 14 employees failed the test. Develop a 99% confidence interval for the proportion of
There are 20,000 eligible voters in York County, South Carolina. A random sample of 500 York County voters revealed 350 plan to vote to return Louella Miller to the state senate. Construct a 99%
In a poll to estimate presidential popularity, each person in a random sample of 1,000 voters was asked to agree with one of the following statements:1. The president is doing a good job.2. The
Families USA, a monthly magazine that discusses issues related to health and health costs, surveyed 20 of its subscribers. It found that the annual health insurance premiums for a family with
Passenger comfort is influenced by the amount of pressurization in an airline cabin. Higher pressurization permits a closer-to-normal environment and a more relaxed flight. A study by an airline user
During a national debate on changes to health care, a cable news service performs an opinion poll of 500 small-business owners. It shows that 65% of small-business owners do not approve of the
A film alliance used a random sample of 50 U.S. citizens to estimate that the typical American spent 78 hours watching videos and DVDs last year. The standard deviation of this sample was 9 hours.a.
Dylan Jones kept careful records of the fuel efficiency of his new car. After the first nine times he filled up the tank, he found the mean was 23.4 miles per gallon (mpg) with a sample standard
A survey of 36 randomly selected “iPhone” owners showed that the purchase price has a mean of $416 with a sample standard deviation of $180.a. Compute the standard error of the sample mean.b.
The proportion of public accountants who have changed companies within the last 3 years is to be estimated within 3%. The 95% level of confidence is to be used. A study conducted several years ago
The National Weight Control Registry tries to mine secrets of success from people who have lost at least 30 pounds and kept it off for at least a year. It reports that out of 2,700 registrants, 459
Near the time of an election, a cable news service performs an opinion poll of 1,000 probable voters. It shows that the Republican contender has an advantage of 52% to 48%.a. Develop a 95% confidence
Refer to the Baseball 2012 data, which report information on the 30 Major League Baseballteams for the 2012 season. Assume the 2012 data represents a sample.a. Develop a 95% confidence interval for

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