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Questions and Answers of Statistics

In a particular area of the Northeast, an estimated 75% of the homes use heating oil as the principal heating fuel during the winter. A random telephone survey of 150 homes is taken in an attempt to
The U.S. Bureau of Labor Statistics released hourly wage figures for various countries for workers in the manufacturing sector. The hourly wage was $30.67 for Switzerland, $20.20 for Japan, and
Give a variable that could be used to stratify the population for each of the following studies. List at least four subcategories for each variable.a. A political party wants to conduct a poll prior
According to Runzheimer International, a typical business traveler spends an average of $281 per day in Chicago. This cost includes hotel, meals, car rental, and incidentals. A survey of 65 randomly
In 1985, a company called In-Process Technology was set up to produce and sell a thermal oxidation process that could be used to reduce industrial pollution. The initial investors acquired the rights
Use the following information to construct the confidence intervals specified to estimate µ.a. 95% confidence for ẍ, σ = 3.5, and n = 60b. 98% confidence for ẍ, σ = 23.89, and n = 75c. 90%
For a random sample of 36 items and a sample mean of 211, compute a 95% confidence interval for if the population standard deviation is 23.
A random sample of 81 items is taken, producing a sample mean of 47. The population standard deviation is 5.89. Construct a 90% confidence interval to estimate the population mean.
A random sample of size 70 is taken from a population that has a variance of 49. The sample mean is 90.4. What is the point estimate of µ? Construct a 94% confidence interval for µ.
A random sample of size 39 is taken from a population of 200 members. The sample mean is 66 and the population standard deviation is 11. Construct a 96% confidence interval to estimate the population
A candy company fills a 20-ounce package of Halloween candy with individually wrapped pieces of candy. The number of pieces of candy per package varies because the package is sold by weight. The
A small lawnmower company produced 1,500 lawnmowers in 1998. In an effort to determine how maintenance-free these units were, the company decided to conduct a multiyear study of the 1998 lawnmowers.
The average total dollar purchase at a convenience store is less than that at a supermarket. Despite smaller-ticket purchases, convenience stores can still be profitable because of the size of
A community health association is interested in estimating the average number of maternity days women stay in the local hospital. A random sample is taken of 36 women who had babies in the hospital
A meat-processing company in the Midwest produces and markets a package of eight small sausage sandwiches. The product is nationally distributed, and the company is interested in knowing the average
According to the U.S. Census Bureau, the average travel time to work in Philadelphia is 27.4 minutes. Suppose a business researcher wants to estimate the average travel time to work in Cleveland
In a recent year, turkey prices increased because of a high rate of turkey deaths caused by a heat wave and a fatal illness that spread across North Carolina, the top turkey-producing state. Suppose
Suppose the following data are selected randomly from a population of normally distributed values.Construct a 95% confidence interval to estimate the populationmean.
Assuming x is normally distributed, use the following information to compute a 90% confidence interval to estimateÂµ.
If a random sample of 41 items produces and ẍ = 128.4 and s = 20.6, what is the 98% confidence interval for µ? Assume x is normally distributed for the population. What is the point estimate?
A random sample of 15 items is taken, producing a sample mean of 2.364 with a sample variance of .81. Assume x is normally distributed and construct a 90% confidence interval for the population mean.
Use the following data to construct a 99% confidence interval for Âµ.Assume x is normally distributed.What is the point estimate forÂµ?
According to Runzheimer International, the average cost of a domestic trip for business travelers in the financial industry is $1,250. Suppose another travel industry research company takes a random
A valve manufacturer produces a butterfly valve composed of two semicircular plates on a common spindle that is used to permit flow in one direction only. The semicircular plates are supplied by a
Some fast-food chains offer a lower-priced combination meal in an effort to attract budget-conscious customers. One chain test-marketed a burger fries and a drink combination for $1.71. The weekly
The marketing director of a large department store wants to estimate the average number of customers who enter the store every five minutes. She randomly selects five-minute intervals and counts the
Runzheimer International publishes results of studies on overseas business travel costs. Suppose as a part of one of these studies the following per diem travel accounts (in dollars) are obtained for
How much experience do supply-chain transportation managers have in their field? Suppose in an effort to estimate this, 41 supply-chain transportation managers are surveyed and asked how many years
Cycle time in manufacturing can be viewed as the total time it takes to complete a product from the beginning of the production process. The concept of cycle time varies according to the industry and
Use the information about each of the following samples to compute the confidence interval to estimate p.a. n = 44 and p = .51; compute a 90% confidence interval.b. n = 300 and p = .82; compute a 95%
Use the following sample information to calculate the confidence interval to estimate the population proportion. Let x be the number of items in the sample having the characteristic of interest.a. n
Suppose a random sample of 85 items has been taken from a population and 40 of the items contain the characteristic of interest. Use this information to calculate a 90% confidence interval to
The Universal Music Group is the music industry leader worldwide in sales according to the company Web site. Suppose a researcher wants to determine what market share the company holds in the city of
According to the Stern Marketing Group, 9 out of 10 professional women say that financial planning is more important today than it was five years ago. Where do these women go for help in financial
What proportion of pizza restaurants that are primarily for walk-in business have a salad bar? Suppose that, in an effort to determine this figure, a random sample of 1,250 of these restaurants
The highway department wants to estimate the proportion of vehicles on Interstate 25 between the hours of midnight and 5:00 A.M. that are 18-wheel tractor trailers. The estimate will be used to
What proportion of commercial airline pilots are more than 40 years of age? Suppose a researcher has access to a list of all pilots who are members of the Commercial Airline Pilots Association. If
According to Runzheimer International, in a survey of relocation administrators 63% of all workers who rejected relocation offers did so for family considerations. Suppose this figure was obtained by
Suppose a survey of 275 executives is taken in an effort to determine what qualities are most important for an effective CEO to possess. The survey participants are offered several qualities as
For each of the following sample results, construct the requested confidence interval. Assume the data come from normally distributed populations.a. n = 12, ẍ = 28.4, s2 = 44.9; 99% confidence for
Use the following sample data to estimate the population variance. Produce a point estimate and a 98% confidence interval. Assume the data come from a normally distributed population.
The Interstate Conference of Employment Security Agencies says the average workweek in the United States is down to only 35 hours, largely because of a rise in part-time workers. Suppose this figure
A manufacturing plant produces steel rods. During one production run of 20,000 such rods, the specifications called for rods that were 46 centimeters in length and 3.8 centimeters in width. Fifteen
Suppose a random sample of 14 people 30–39 years of age produced the household incomes shown here. Use these data to determine a point estimate for the population variance of household incomes for
Determine the sample size necessary to estimate µ for the following information.a. σ = 36 and E = 5 at 95% confidenceb. σ = 4.13 and E = 1 at 99% confidencec. Values range from 80 to 500, error is
Determine the sample size necessary to estimate p for the following information.a. E = .02, p is approximately .40, and confidence level is 96%.b. E is to be within .04, p is unknown, and confidence
A bank officer wants to determine the amount of the average total monthly deposits per customer at the bank. He believes an estimate of this average amount using a confidence interval is sufficient.
Suppose you have been following a particular airline stock for many years. You are interested in determining the average daily price of this stock in a 10-year period and you have access to the stock
A group of investors wants to develop a chain of fast-food restaurants. In determining potential costs for each facility, they must consider, among other expenses, the average monthly electric bill.
Suppose a production facility purchases a particular component part in large lots from a supplier. The production manager wants to estimate the proportion of defective parts received from this
What proportion of secretaries of Fortune 500 companies has a personal computer at his or her workstation? You want to answer this question by conducting a random survey. How large a sample should
What proportion of shoppers at a large appliance store actually makes a large-ticket purchase? To estimate this proportion within 10% and be 95% confident of the results, how large a sample should
Use the following data to construct 80%, 94%, and 98% confidence intervals to estimate Âµ. Assume that Ïƒ is 7.75. State the pointestimate.
Construct 90%, 95%, and 99% confidence intervals to estimate µ from the following data. State the point estimate. Assume the data come from a normally distributedpopulation.
Use the following information to compute the confidence interval for the population proportion.a. n = 715 and x = 329, with 95% confidence.b. n = 284 and p = .71, with 90% confidence.c. n = 1250 and
Use the following data to construct 90% and 95% confidence intervals to estimate the population variance. Assume the data come from a normally distributedpopulation.
Determine the sample size necessary under the following conditions.a. To estimate µ with σ = 44, E = 3, and 95% confidence.b. To estimate µ with a range of values from 20 to 88 with E = 2 and 90%
In planning both market opportunity and production levels, being able to estimate the size of a market can be important. Suppose a diaper manufacturer wants to know how many diapers a one-month-old
Suppose you want to estimate the proportion of cars that are sport utility vehicles (SUVs) being driven in Kansas City, Missouri, at rush hour by standing on the corner of I-70 and I-470 and counting
Use the data in Problem 8.53 to construct a 99% confidence interval to estimate the population variance for the number of diapers used during a 24-hour period for one-month-olds. How could
What is the average length of a company’s policy book? Suppose policy books are sampled from 45 medium-sized companies. The average number of pages in the sample books is 213, and the population
A random sample of small-business managers was given a leadership style questionnaire. The results were scaled so that each manager received a score for initiative. Suppose the following data are a
A national beauty salon chain wants to estimate the number of times per year a woman has her hair done at a beauty salon if she uses one at least once a year. The chain’s researcher estimates that,
Is the environment a major issue with Americans? To answer that question, a researcher conducts a survey of 1,255 randomly selected Americans. Suppose 714 of the sampled people replied that the
According to a survey by Topaz Enterprises, a travel auditing company, the average error by travel agents is $128. Suppose this figure was obtained from a random sample of 41 travel agents and the
A national survey on telemarketing was undertaken. One of the questions asked was: How long has your organization had a telemarketing operation? Suppose the following data represent some of the
An entrepreneur wants to open an appliance service repair shop. She would like to know about what the average home repair bill is, including the charge for the service call for appliance repair in
A national survey of insurance offices was taken, resulting in a random sample of 245 companies. Of these 245 companies, 189 responded that they were going to purchase new software for their offices
A national survey of companies included a question that asked whether the company had at least one bilingual telephone operator. The sample results of 90 companies follow (Y denotes that the company
A movie theater has had a poor accounting system. The manager has no idea how many large containers of popcorn are sold per movie showing. She knows that the amounts vary by day of the week and hour
According to a survey by Runzheimer International, the average cost of a fast-food meal (quarter-pound cheese-burger, large fries, medium soft drink, excluding taxes) in Seattle is $4,82. Suppose
A survey of 77 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.48 minutes. The population standard deviation was 12 minutes. Construct a 95%
A regional survey of 560 companies asked the vice president of operations how satisfied he or she was with the software support received from the computer staff of the company. Suppose 33% of the 560
A research firm has been asked to determine the proportion of all restaurants in the state of Ohio that serve alcoholic beverages. The firm wants to be 98% confident of its results but has no idea of
A national magazine marketing firm attempts to win subscribers with a mail campaign that involves a contest using magazine stickers. Often when people subscribe to magazines in this manner they sign
A national survey showed that Hillshire Farm Deli Select cold cuts were priced, on the average, at $5.20 per pound. Suppose a national survey of 23 retail outlets was taken and the price per pound of
The price of a head of iceberg lettuce varies greatly with the season and the geographic location of a store. During February a researcher contacts a random sample of 39 grocery stores across the
A soft drink company produces a cola in a 12-ounce can. Even though their machines are set to fill the cans with 12 ounces, variation due to calibration, operator error, and other things sometimes
A company has developed a new light bulb that seems to burn longer than most residential bulbs. To determine how long these bulbs burn, the company randomly selects a sample of these bulbs and burns
Suppose a researcher wants to estimate the average age of a person who is a first-time home buyer. A random sample of first-time home buyers is taken and their ages are ascertained. The Minitab
What proportion of all American workers drive their cars to work? Suppose a poll of American workers is taken in an effort to answer that question, and the Minitab output shown here is an analysis of
Frito Company was founded in 1932 in San Antonio, Texas, by Elmer Doolin. H.W. Lay & Company was founded in Atlanta, Georgia, by Herman W. Lay in 1938. In 1961, the two companies merged to form
a. Use the data given to test the following hypotheses.H0: µ = 25 Ha: µ ≠ 25x = 28.1, n = 57, σ = 8.46, α = .01b. Use the p-value to reach a statistical conclusion.c. Using the critical value
Use the data given to test the following hypotheses. Assume the data are normally distributed in the population.H0: µ = 7.48 Ha: µ < 7.48ẍ = 6.91, n = 24, σ = 1.21, α = .01
a. Use the data given to test the following hypotheses.H0: µ = 1200 Ha: µ > 1200ẍ = 1215, n = 113, σ = 100, α = .10b. Use the p-value to obtain the results.c. Solve for the critical value
The Environmental Protection Agency releases figures on urban air soot in selected cities in the United States. For the city of St. Louis, the EPA claims that the average number of micrograms of
According to the U.S. Bureau of Labor Statistics, the average weekly earnings of a production worker in 1997 were $424.20. Suppose a labor researcher wants to test to determine whether this figure is
According to a study several years ago by the Personal Communications Industry Association, the average wireless phone user earns $62,600 per year. Suppose a researcher believes that the average
A manufacturing company produces valves in various sizes and shapes. One particular valve plate is supposed to have a tensile strength of 5 pounds per millimeter (lbs/mm). The company tests a random
According to a report released by CIBC entitled “Women Entrepreneurs: Leading the Charge,” the average age for Canadian businesswomen in 2008 was 41. In the report, there was some indication that
According to HowtoAdvice.com, the average price charged to a customer to have a 12 by 18 wall-to-wall carpet shampoo cleaned is about $50. Suppose that a start-up carpet-cleaning company believes
The American Water Works Association estimates that the average person in the United States uses 123 gallons of water per day. Suppose some researchers believe that more water is being used now and
A random sample of size 20 is taken, resulting in a sample mean of 16.45 and a sample standard deviation of 3.59. Assume x is normally distributed and use this information and α = .05 to test the
A random sample of 51 items is taken, with ẍ = 58.42 and s2 = 25.68. Use these data to test the following hypotheses, assuming you want to take only a 1% risk of committing a Type I error and that
The following data were gathered from a random sample of 11 items.Use these data and a 5% level of significance to test the following hypotheses, assuming that the data come from a normally
The following data (in pounds), which were selected randomly from a normally distributed population of values, represent measurements of a machine part that is supposed to weigh, on average, 8.3
A hole-punch machine is set to punch a hole 1.84 centimeters in diameter in a strip of sheet metal in a manufacturing process. The strip of metal is then creased and sent on to the next phase of
Suppose a study reports that the average price for a gallon of self-serve regular unleaded gasoline is $3.16. You believe that the figure is higher in your area of the country. You decide to test
Suppose that in past years the average price per square foot for warehouses in the United States has been $32.28. A national real estate investor wants to determine whether that figure has changed
Major cities around the world compete with each other in an effort to attract new businesses. Some of the criteria that businesses use to judge cities as potential locations for their headquarters

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