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Analyzing Data And Making Decisions Statistics For Business Microsoft Excel 2010 Updated 2nd Edition Judith Skuce - Solutions

42% of Lindsay's population is opposed to the proposed widening of Highway 35 to four lanes. If 10 Lindsay residents are selected at random,a. What is the probability that all 10 of them are opposed to the proposed highway widening?b. What is the probability that none of them is opposed to the
Over time, the owner of a bicycle store has come to the conclusion that about 3.2% of the customers who enter her store are prepared to purchase a new bicycle. What is the probability that one out of the 25 customers who enter the store today will purchase new bicycles (you may assume these 25
Suppose the random variable x is the number of magazines subscribed to by a Canadian household. The probability distribution for x is shown in Exhibit 5.39 below.a. What is the probability that a Canadian household subscribes to three or more magazines? b. What is the probability that a Canadian
The time that it takes an emergency car repair service to arrive at a car that has broken down is a normally distributed random variable, with a mean of 42 minutes and a standard deviation of 12 minutes. What is the probability that a customer will have to wait more than 45 minutes for help to
In Chapter 6, you will see that the normal distribution can sometimes be used to approximate the binomial distribution. This exercise is designed to illustrate how good the normal approximation to the binomial can be.a. Consider a binomial distribution with n = 200 and p = 0.5.Calculate P(x ≤
Suppose that 20% of students in the business program read the financial section of the daily newspaper. Develop the probability distribution for x, the number out of three randomly selected students from the business program who read the financial section of the daily newspaper.
Calculate the mean and standard deviation for the probability distribution you created in Exercise 3 above. Represent the probability distribution graphically.
Create the probability distribution for a binomial random variable with n = 2, p = 0.4, using basic probability rules. Verify that the expected value is equal to np, using the general formula for the mean of a probability distribution.
A construction company is bidding on a contract. The company believes that it has a 25% chance of winning the contract. If the company wins, it will earn a profit of $50,000. If the company does not win the contract, it will lose the $1,845 it spent preparing the bid. What is the company's expected
The marks in an economics class are normally distributed, with a mean of 65% and a standard deviation of 12%. a. What percentage of the class passed (that is, received a mark of 50% or higher)? b. What percentage of the class received a mark of 45% or lower? c. What percentage of the class received
The leading brand of toothpaste has a 5% market share. a. A sample of 15 customers is taken. What is the probability that three or fewer of them use the leading brand of toothpaste? b. A sample of four customers is selected. What is the probability that two of them use the leading brand of
The number of pages printed before the ink cartridge has to be replaced on an inkjet printer is normally distributed, with a mean of 840 pages and a standard deviation of 224 pages. A new print cartridge has just been installed.a. What is the probability that the printer produces more than 1,000
Suppose a college claims that its graduates from the business programs earn $40,000 a year, on average, after graduation. You are making only $38,000, so you have reason to doubt the college's claim. You take a random sample of 35 graduates, and calculate an average salary of $39,368. Assume that
The manager at Big Package Express knows that in the past, the packages the company handled had a mean weight of 36.7 kg. A random sample of last month's shipping records yielded a mean weight of 32.1 kg for 64 packages. Assume that the standard deviation of package weights is 14.2 kg, and that the
A cereal manufacturer claims that 10% of its cereal boxes contain a free ticket to the movies. Because you have eaten several boxes of cereal without finding a movie ticket, you are suspicious of this claim. You set up a website to ask people about their experience with the cereal boxes. Once you
A college claims that 97% of its graduates find jobs in their field within a year of graduation. Since you graduated from the program a year ago and have not been able to find a job, you think that the college has overestimated the job placement rate of its graduates. The alumni office contacts a
A tire company claims that no more than 1% of its tires are defective. A national survey shows that 8 out of 500 tires purchased in the last year from this company were defective. Does the sample provide evidence that the percentage of defective tires is more than 1%? (What bias might you be
An advertisement for Cold-Over claims an 80% success rate in preventing a cold from developing if the patient starts the treatment immediately upon getting a sore throat or a runny nose. A random sample of 300 patients who are just developing symptoms are given Cold-Over, and are later checked to
A survey by a research company reported that 40% of retired people eat out at least once a week. You run a restaurant, and you are wondering if you should focus more of your advertising on retired people. However, you are concerned that the research might not apply to your city. You decide to check
Suppose an ad for an automotive service centre claims that at least 90% of its customers would gladly recommend the centre to friends. Since you have heard nothing but complaints about this service centre, you doubt that the claim is true. Your friend who works at the service centre helps you to
A company is wondering if it should subsidize the tuition costs of employees who are furthering their education. The company feels that it could afford a subsidy program if 25% or fewer of its employees enrolled in programs that would be eligible for subsidies. The chief accountant conducted a
Your statistics teacher claims that the average mark on the mid-term statistics exam for students in the business program is 67%. You survey a random sample of 30 of the business students taking statistics, and you calculate an average mark of 62%.The statistics teacher tells you that if her claim
According to the personnel department, the average commuting time for workers within a 50-kilometre radius of your company's head office is 32 minutes. You suspect that, because of development in the area and increased traffic, the average commuting time has increased. Suppose you know that if the
Suppose the cereal boxes in a factory are supposed to contain 645 grams of cereal. Assume that when the filling line is properly adjusted, the weights of the cereal boxes are normally distributed with a standard deviation of 5 grams. The inspector selects 10 boxes from the line, and determines that
Suppose a college claims that its graduates from the business program earn at least $40,000 a year, on average, in the first year after graduation. Assume that the year-after-graduation salaries are normally distributed, with a standard deviation of $3,300. You survey a random sample of 20
The new tire you bought for your car is guaranteed to last an average of 25,000 kilometres. Your new tire wears prematurely, so you talk the tire store owner into surveying a random sample of 19 other tire buyers. When you survey them to see how long their tires lasted, and add your own
A local bank claims that it takes no more than 1.5 working days on average to approve loan requests. Examination of the bank's records for 64 randomly selected loan requests produced a sample mean of 1.8 working days. Assume that the standard deviation for the number of days to approve loan
Suppose the population data of heights of students at your college (the x-values) is normally distributed, with a mean of 167.5 centimetres and a standard deviation of 12 centimetres.a. Sketch the normal distribution of heights (x-values) in the population.b. Describe the sampling distribution of
A small college in southern Ontario advertises that its business graduates earn an average annual income of $37,323 the first year after graduation. A researcher has been given the task of checking the claim for the 2010 year. A random survey of 45 of the college's business graduates produces a
When Doug Brackett bought Downtown Automotive, the previous owner suggested to him that average daily sales at the shop were $2,000.A random sample of daily sales is available in MyStatLab. Do the sample data suggest that the average daily sales at the shop are less than the previous owner claimed?
In the past,25% of a college's students lived in the immediate area. In recent years, the college has been trying to attract students from farther afield. A random sample of 400 students revealed that 82 lived in the immediate area. The college has over 10,000 students. a. Use Excel to calculate
A college is considering making the purchase of a laptop computer a requirement for some of its programs. In the past, only 20% of students owned laptop computers. A random sample of 300 students revealed that 77 of them had laptop computers. Is there evidence that the percentage of students with
A winery owner believes that 60% of the customers visiting her retail wine shop are women. To check this belief, a random sample of visitors is taken. The results are in the file called CRE06-14, where "0" corresponds to male and "1" corresponds to female. Do these data provide evidence that the
Use the distributions from Exercise 1 to answer the following questions. a. What is the probability that an individual student will be taller than 180 centimetres? b. Suppose a random sample of 25 students is selected from the population. What is the probability that the mean height of these 25
The manufacturer of a pill for back pain claims that 86% of those who take the pill get relief within one hour. You work for a consumer organization and you want to check the claim. You take a random sample of 350 people with back pain who took the pill and find that 287 of them got relief within
The college cafeteria manager claims that 90% of cafeteria customers are satisfied with the range of food served and prices. Suppose that in a random sample of 500 cafeteria customers, 438 say they are satisfied with the cafeteria. Does the sample result suggest that fewer than 90% of the
A survey of the morning beverage market shows that the primary breakfast beverage of 17% of Americans is milk. A Canadian dairy company believes the figure is higher in Canada. The company contacts a random sample of 500 Canadians and asks what primary beverage they consumed for breakfast that day.
A tourist attraction gets over 50,000 visitors a year, but traffic has declined over the last few years. The manager has recently refurbished the buildings, added new activities, and generally spruced up the facility. A survey of customers done two years ago revealed that only 65% of them felt they
An analyst in a government ministry is interested in the average cost of textbooks per semester for a college student. A previous estimate suggests that the average cost of textbooks per semester is $700.The analyst wants to check this and conducts a random sample of 75 college students, asking
Automated teller machines must be stocked with enough cash to satisfy customers making withdrawals over an entire weekend. At one branch, a random sample of the total withdrawals on 36 weekends showed a sample mean of $8,400. Suppose that the branch manager has always claimed the average total
The operations manager at a factory is interested in the lifespan of an electronic component used in one of the factory's machines. The producer of the electronic component claims that it has an average life of 6,200 hours. A random sample of 40 components is studied, and their life spans
A manufacturer receives large shipments of keyboards that will be sold with its computers. The computer manufacturer does not accept any shipments unless there is evidence that fewer than 5% of the keyboards are defective. a. What are the null and alternative hypotheses for this situation? b.
The owner of a diner wants to know if more than 25% of customers choose salad instead of fries with their main course. A random sample of 50 customers reveals that 14 chose salad instead of fries. What can you tell the diner's owner on the basis of this sample? Use α = 4%.
A marketing research organization wanted to see if the average household incomes in a particular suburb of Halifax were more than $50,000 a year. A random sample of 40 households revealed the household income data available in a MyStatLab. At the 3% level of significance, what can you conclude on
The 2008 MasterIndex™ Report produced for MasterCard indicated that women spend an average of $34.21 on quick trips to the grocery store. This estimate is based on a survey of 1,000 Canadians, and you may assume that half of them were women. Assume the standard deviation is $10 and the sample
The human resources department wants to be sure that the average salary of entry-level clerks in the company (which is $37,876) is higher than the average in the surrounding area. A random sample of salaries of clerks in the surrounding area reveals the data available in the file called DYS07-13.At
A company that produces stereo equipment for home listening is interested in the average age of the equipment in the homes of so-called baby boomers. A random sample of 60 baby boomer households wassurveyed. The average age of their stereo equipment was 8.9 years, with a standard deviation of 5.5
A carpet cleaning company is doing some research to determine if its rates are lower than those of its competitors. A researcher posed as a householder to get prices for cleaning a bedroom carpet. The average of 15 such prices was $87.43, with a standard deviation of $16.23. Is this average
A drug company has developed a new formulation of a popular pain reliever. It appears that the new formula provides quicker pain relief than the old formula, which provided relief in 15 minutes, on average. The company wants to gather evidence to see if the new drug provides relief faster than the
The quality control manager at a plant that produces canned peaches is setting up a hypothesis test about the amount of peaches in the can. The cans are supposed to contain 142mL of peaches. a. What should the null and alternative hypotheses be for this situation? b. Explain the Type I and Type II
Suppose you have null and alternative hypotheses as follows: H0: p = 0.35 H1: p = 0.35 The sample size is 500, sampling is done without replacement, and the sample is less than 5% of the population. The sample proportion is 0.36.What is the p-value?
A poll conducted by Decima Research in September 2005 said that 27% of Canadian homeowners spent more than they planned on home renovation projects. The results were based on a random sample of 1,006 homeowners. At the 5% significance level, does the survey support the notion that more than a
The same poll referred to above said that 34% of home owners are borrowing to renovate. At the 2% significance level, does the survey support the claim that more than a third of homeowners borrow to renovate?
An online poll conducted by Ipsos Reid on behalf of Rogers Wireless in May 2009 concluded that "two in ten (17%) of cellphone and smartphone users typically access the Internet on a daily basis from their phone."3 Although this online poll was not a probability sample, assume that it was. 1,403
A retail electronics shop is thinking of mounting a sales push to get customers to buy the extended warranty available for their purchases. The sales manager believes that fewer than 10% of customers currently opt for the extra coverage. A random sample of 200 customers revealed that 18 opted for
A toy manufacturer receives large shipments of electronic components that will be used in the dolls that it makes. It is too expensive to test every component to see whether it functions properly, so the manufacturer inspects a random sample of components from every shipment. The toy manufacturer
A tourist attraction gets over 50,000 visitors a year, but traffic has declined over the last few years. The manager has recently refurbished the buildings, added new activities, and generally spruced up the facility. A survey of customers done two years ago revealed that only 65% of them felt they
A human resources manager claims that tuition subsidies for employees are not an important benefit, as only 5% of employees would use such a program. The union president thinks this estimate is too low. A survey of 500 employees revealed that 38 of them would use the tuition subsidy program. Does
An analyst in a government ministry is interested in the average cost of textbooks per semester for a college student. A previous estimate suggests that the average cost of textbooks per semester is $700. The analyst conducts a random sample of 75 college students, with a sample average cost of
A financial services company conducted a survey of a random sample of its customers. One of the items on the survey was as follows:"The staff at my local branch can provide me with good advice on my financial affairs." Customers were asked to respond on the following scale: 1 - strongly agree 2 -
As a student, you are suspicious that some teachers give easier tests than others. You have heard that Mr. Wilson is one such teacher, and you are thinking of switching to his class. However, you want to be sure that Mr. Wilson's tests are easier. Ms. Hardy has told you that the class average on
The operations manager at a factory is interested in the lifespan of an electronic component used in one of the factory's machines. The producer of the electronic component claims that it has an average life of 6,200 hours. A random sample of 40 components is studied, and their lifespans are
When Doug Brackett bought Downtown Automotive, the previous owner suggested to him that average daily sales at the shop were $2,000. You have already examined this data set. Is there evidence that average daily sales at the shop are less than the previous owner claimed? Complete a formal hypothesis
A smart meter tracks household electricity use and the time of use. With smart meters, consumers have a price incentive to use electricity at off-peak hours, when rates are cheaper. After having smart meters described to them, a survey asked 2,400 Canadians about their interest level in having a
Lynda Parks has surveyed a random sample of the customers who shop at the drugstore she owns. Is there evidence that the average purchase amount is more than $25? Use a 5% level of significance.
The survey of drugstore customers mentioned in Exercise 18 also includes data about staff friendliness. Based on the survey, can Lynda Parks conclude that fewer than 5% of customers rate staff friendliness as "poor"? Use a 4% significance level.
A gasoline refinery has developed a new gasoline that, theoretically, reduces gas consumption per 100 kilometres driven (or, to use a non-metric phrase, provides improved gas mileage).The company wants to gather evidence to see whether the new gasoline actually does provide better gas mileage.
The survey of drugstore customers also collected data on incomes. At the 4% level of significance, can Lynda Parks conclude that the average income of her drugstore customers is more than $45,000?
The survey of drugstore customers also collected data on ages. Lynda Parks has always thought that the average age of her customers is around 40. At the 5% level of significance, what can you conclude, based on the sample data?
The survey of drugstore customers also collected data on speed of service. At the 3% level of significance, is there evidence that more than 40% of customers rate the service as good or excellent?
The Office of Economic Development in your city has conducted a survey of a random sample of city households, and has collected data on reported after-tax income for families with two or more people. Is there enough evidence to suggest that the average after-tax income for such families is more
A college surveys incoming students every year. An excerpt of one such survey, for Business students only, is available in MyStatLab. For this question, consider these particular incoming students as a random sample of all students entering Business programs in Canadian colleges for this year (for
The quality control manager at a plant that produces bottled water is setting up a hypothesis test for the amount of water in the bottle, which is supposed to be 750 millilitres. a. What should the null and alternative hypotheses be for this situation? b. Explain the Type I and Type II errors in
Suppose you have null and alternative hypotheses as follows: H0: µ = 300 H1: µ < 300 A histogram of the sample data appears normal. The sample mean is 296.5 and the sample size is 40.The sample standard deviation is 35.6.Estimate the p-value for this test.
Suppose you have null and alternative hypotheses as follows:H0: p = 0.26H1: p ≠ < 0.26Assume that the sample size, at 200,is less than 5% of the population. The sample proportion is 0.30.Estimate the p-value for this test.
Your radio station, which has generally targeted the so-called baby-boomers, is starting to reorient its programming to a younger audience. Formats have been changed, some new on air personalities have been hired, and generally efforts have been made to come up with a fresh approach. Now the radio
An online retailer believes that Canadian Internet users spend an average of $725 shopping online annually. A survey of 2,711 Canadian Internet users reports average spending of $641, with a standard deviation of $234. You may assume that the sample data are normally distributed. At the 5% level of
The college cafeteria manager claims that 90% of cafeteria customers are satisfied with the range of food served and prices. Suppose that in a random sample of 500 cafeteria customers, 438 say they are satisfied with the cafeteria. Does the sample result suggest that fewer than 90% of the
A survey of the morning beverage market shows that the primary breakfast beverage of 17% of Americans is milk. A Canadian dairy company believes the figure is higher in Canada. The company contacts a random sample of 500 Canadians and asks what primary beverage they consumed for breakfast that day.
A company is trying to decide whether to provide an outdoor gazebo for the smokers on its staff. Before any money is spent on construction costs, the company would like to estimate the percentage of its workers who smoke. A random sample of 300 employees reveals 56 smokers. Construct a 99%
A human resources consulting firm wants to estimate the average salary of university graduates with a bachelor's degree in science, and 10 years of working experience, in the Toronto area. A sample of 50 such employees reveals an average of $56,387 and a standard deviation of $5,435. Assuming the
A company wants to estimate the proportion of smokers on staff to within 5%, with 99% confidence. A preliminary estimate of the proportion of smokers is 0.1867. How big a sample size is necessary?
A company wants to estimate the proportion of employees who have children of daycare age to within 5%, with 95% confidence. No estimate is available. How big a sample size is necessary? How big a sample size would be required if the confidence level increased to 98%?
A researcher wants to estimate the average grocery bill of households whose members shop at a particular supermarket to within $10, with 95% confidence. How big a sample size is necessary? A preliminary sample revealed a standard deviation of $32.45.
A student wants to estimate the average mark on a statistics test to within 5 marks (out of 100), with 95% confidence. A preliminary sample yielded a standard deviation of 15.54. How big a sample size is necessary?
How large a sample should be taken to estimate the percentage of Canadian Internet users who visit social networking sites, to within 4%, with 96% confidence?
Return to the confidence interval you constructed for Develop Your Skills 8.2, Exercise 6. The owner of the supermarket claims that the average household grocery bill is $95. Does the sample evidence support the owner's claim? What level of significance applies to your conclusion?
Return to the confidence interval you constructed for Develop Your Skills 8.1, Exercise 1. The company nurse claims that the percentage of smokers on staff is 20%. Does the sample evidence support the nurse's claim? What level of significance applies to your conclusion?
The manager of a college coffee shop believes that members of the college community spend an average of about $6 a week on morning coffees. You conduct a random sample of the college community, and find that the data on weekly spending for morning coffees are approximately normally distributed. You
Return to the confidence interval you constructed for Develop Your Skills 8.2, Exercise 9.You believe that the average mark on the statistics test was 50%. Does the sample evidence support your belief? What level of significance applies to your conclusion?
A company wants to design a daycare program for its staff. A random sample of 200 employees reveals that 142 have children of daycare age. Construct a 95% confidence interval for the proportion of all employees who have children of daycare age.
You are trying to estimate the percentage of households who have high-speed Internet access in the east end of St. John's, Newfoundland. A random sample of 50 households reveals 37 with high-speed Internet access.Estimate the percentage of all the households in the east end who have high-speed
A random sample of 1,202 British Columbia residents was given a list of several approaches for retailers to deal with plastic bags. Of those surveyed, 469 said that retailers should provide biodegradable plastic bags to consumers, at no charge. The survey was reported as accurate to within 2.9%, 19
A random sample of 25 families leaving a supermarket yields an average grocery bill of $112.36, with a standard deviation of $32.45. A histogram of the data is approximately normal. Construct a 95% confidence interval for the average grocery bill of all households whose members shop at this store.
A random sample of monthly daycare costs for 50 households in Halifax, Nova Scotia, yields an average of $460, with a standard deviation of $65. Estimate the average monthly daycare costs for all Halifax households, with 98% confidence. You may assume that the daycare costs are normally distributed.
You want to know the average grade on a statistics test, but the teacher will not provide the information. You take a random sample of the marks of 20 students who wrote the test. The results are available in MyStatLab. Construct a 95% confidence interval estimate for the average grade on the
A random sample of 400 Canadian grocery shoppers reveals that 26% of them are trying to make healthier food choices. a. Construct a 90% confidence interval estimate of the proportion of all Canadian grocery shoppers who are trying to make healthier food choices. b. Construct a 96% confidence
The City of Moose Jaw wants to estimate the percentage of households that make consistent efforts to separate recyclable materials from their garbage. How many households should be included in the random sample if the city wants its estimate to be within 3 percentage points, with 95% confidence?
In a survey, 43% of the 2,450 respondents said they had phoned in sick when they were not ill. Construct a 99% confidence interval estimate for the proportion of workers who phone in sick when they are not ill. Do you think the results of such a survey would be reliable?
A restaurant is trying to decide how to target its marketing. The owner thinks that diners on business expense accounts typically spend more on food and wine than do other diners. The restaurant takes a random sample of 40 diners who pay with corporate credit cards. The average bill (per person) is

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