Questions and Answers of Business Statistics In Practice

Determine the probability or area for the portions of the z distribution described.a. z ≥ 1.96b. z < 0.73c. − 1.46 < z ≤ 2.84d. − 2.67 ≤ z ≤ 1.08e. − 2.05 < z ≤ − 0.87
The average fill volume of a regular can of soft drink is 355.0 mL. Suppose the fill volume of these cans ranges from 354.0 mL to 355.8 mL and is uniformly distributed. What is the height of this
The Canadian Newspaper Association releases figures on the top newspapers in Canada. Shown here are the top 20 daily newspapers in Canada ranked according to circulation.Suppose a business analyst
An office in Calgary, Alberta, has 24 workers including management. Eight of the workers commute to work from Airdrie. Suppose six of the office workers are randomly selected.a. What is the
According to Statistics Canada, 16% of the workers in Calgary use public transportation. If 25 Calgary workers are randomly selected, what is the expected number to use public transportation? Graph
According to a study, the proportion of Canadian households relying solely on a cellphone for telephone service is about 13%. A marketing analyst randomly selects 50 Canadian households.a. How many
The following table lists the 28 largest Canadian universities according to full-time undergraduate enrolment figures. The province of location is given in parentheses.a. If five different
According to the Canadian Medical Association, about 55% of all Canadian physicians under the age of 35 are women. Your company has just hired eight physicians under the age of 35 and only two are
In one western city, the government has 14 repossessed houses, which are evaluated to be worth about the same. Ten of the houses are on the north side of town and the rest are on the west side. A
Study the following output. Discuss the type of distribution, the mean, the standard deviation, and why the probabilities fall as they do. Probability Density Function Binomial with n = 15 and p =
Study the following output. Explain the distribution in terms of shape and mean. Are these probabilities what you would expect? Why or why not? A B 1 x Values Poisson Probabilities: λ =
Mercedes and BMW have been competing head-to-head for market share in the luxury-car market for more than three decades. Back in 1959, BMW (Bayerische Motoren Werke) almost went bankrupt and nearly
Public Citizen’s Health Research Group studied the serious disciplinary actions that were taken during a recent year against nonfederal medical doctors in the U.S. The American average was 3.05
1. List four important properties of the normal distribution.2. Why are z values important when dealing with a normal distribution?3. How does the variable x relate to the mean μ of a normal
Find the probabilities for the following exponential distribution problems.a. P(x ≥ 3 | λ = 1.3)b. P(x < 2 | λ = 2.0)c. P(1 ≤ x ≤ 3 | λ = 1.65)d. P(x > 2 | λ = 0.405)
Statistics Canada reports that one in four people 15 years of age or older volunteers some of his or her time. If this figure holds for the entire population and if a random sample of 150 people 15
Statistics Canada reports that of people who usually work fulltime, the average number of hours worked per week is 42.2. Assume that the number of hours worked per week for those who usually work
According to Alberta Egg Producers, Alberta egg farmers produce millions of eggs every year. Suppose egg production per year in Alberta is normally distributed, with a standard deviation of
The Canada Mortgage and Housing Corporation lists average monthly apartment rents for many cities in Canada. According to its report, the average cost of renting a two-bedroom apartment in Halifax is
Statistics Canada reports that the average annual family income in Regina is $81,832. Suppose annual family income in Regina is normally distributed, with a standard deviation of $7,712. A Regina
Suppose the average speeds of passenger trains travelling from Winnipeg to Churchill in Manitoba are normally distributed, with a mean average speed of 142 km/h and a standard deviation of 10.3
According to Statistics Canada, about 71% of commuters in Canada drive to work. Suppose 150 Canadian commuters are randomly sampled.a. What is the probability that fewer than 105 commuters drive to
It has been reported that the mean western Canadian production of wheat and durum over a 10-year period was 22.45-million tonnes. Assume that the Canadian production of wheat over this period has
According to The Polk Company, a survey of households using the Internet to buy or lease cars reported that 81% were seeking information about prices. In addition, 44% were seeking information about
Coastal businesses in the Atlantic provinces worry about the threat of hurricanes during the season from June through October. Suppose the arrival of hurricanes during this season is Poisson
The U.S. Federal Reserve System publishes data on family income based on its Survey of Consumer Finances. When the head of the household has a university degree, the mean pre-tax family income is US
It has been reported that the average operating cost of an MD-80 jet airliner is $2,087 per hour. Suppose the operating costs of an MD-80 jet airliner are normally distributed with a standard
According to the Canadian Newspaper Association, the average daily circulation of The Globe and Mail based on recent figures is 302,190. Suppose the standard deviation is 7,308. Assume the paper’s
Supermarkets usually become busy at about 5 p.m. on weekdays, because many workers stop by on the way home to shop. Suppose at that time arrivals at a supermarket’s express checkout station are
According to Canadian Radio-television and Telecommunications Commission, the average number of hours of TV viewing among adults is 27 hours per week.4 Suppose the standard deviation is 6.7 hours and
The same study mentioned above found that 36% of Canadians rely on pharmacists for drug information. Suppose 200 Canadians are randomly surveyed.a. What is the probability that fewer than 90 of the
Let’s assume that the average annual consumption of fresh fruit per person in a recent year is 77.8 kg. Suppose the standard deviation of fresh fruit consumption is about 20 kg. Suppose an analyst
Suppose a small town in British Columbia contains 1,500 houses. A sample of 100 houses is selected randomly and evaluated by an appraiser.If the mean appraised value of a house in this town for all
Give an example of how convenience sampling could be used in a study of Report on Business Magazine’s Top 1,000 executives to measure corporate attitude toward paternity leave for employees.
Give an example of how judgment sampling could be used in a study to determine how prosecutors feel about lawyers advertising on television.
For each of the following research projects, list three variables for stratification of the sample.a. A nationwide study of motels and hotels is being conducted. An attempt will be made to determine
For each of the following research projects, list at least one area or cluster that could be used in obtaining the sample.a. A study of road conditions in the province of Nova Scotiab. A study of
Develop a frame for the population of each of the following research projects.a. Measuring the job satisfaction of all union employees in a companyb. Conducting a telephone survey in Edmonton,
According to Zero Population Growth, the average urban U.S. resident consumes 1.49 kg of food per day. Is this figure accurate for Canadian consumers? Suppose 64 Canadians are identified by a random
The mean of a population is 76 and the standard deviation is 14. The shape of the population is unknown. Determine the probability of each of the following occurring from this population.a. A random
A soft drink company produces a cola in a 355 ml can. Even though the machines are set to fill the cans with 355 ml, variation due to calibration, operator error, and other factors sometimes
Based on population figures and other general information on the Canadian population, suppose it has been estimated that, on average, a family of four in Canada has about $1,135 annually in dental
Assume that the national average daily water usage in Canada for 2019 was 492 L per person. Suppose some analysts believe that more water is being used now and want to determine whether this is so.
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 the bulbs and burns
Suppose a study reports that the average price for 1 L of self serve regular unleaded gas is $1.37. You believe that the figure is higher in your area of the country. You decide to test this claim
Suppose an analyst 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 Excel output
Candidate Liu believes he will receive 0.55 of the total votes castin his riding. However, in an attempt to validate this figure, his pollstercontacts a random sample of 600 registered voters in the
A candy company fills a 550 g 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 mass. The company
A manufacturing company produces valves in various sizes and shapes. One particular valve plate is supposed to have a tensile strength of 500 MPa (megapascals). The company tests a random sample of
What proportion of pizza restaurants that are primarily for walkin business have a salad bar? Suppose that, in an effort to determine this figure, a random sample of 1,250 of these restaurants across
Assume that the average weekly earnings of a production worker in 2010 were $424.20. Suppose a labour analyst wants to determine whether this figure is still accurate today. The analyst randomly
Test each of the following hypotheses by using the given information. Assume the populations are normally distributed.a. H0: σ2 = 20. Ha: σ2 > 20. α = 0.05, n = 15, s2 = 32b. H0: σ2 = 8.5. Ha:
According to a report released by CIBC entitled “Women Entrepreneurs: Leading the Charge,” the average age for Canadian businesswomen in a recent year was 41. In the report, there was some
Suppose that in past years the average price per square metre for warehouses in Canada has been $347.46. A national real estate investor wants to determine whether that figure has changed now. The
The growth of a country’s Gross Domestic Product (GDP) reflects the strength of the economy. Long-term interest rates, on the other hand, reflect the outlook for inflation in the future. It is said
Suppose a null hypothesis is that the population mean is greater than or equal to 100. Suppose further that a random sample of 48 items is taken and the population standard deviation is 14.a. For
Shown here is the Excel output for a one-way ANOVA. Analyze the results. Include the number of treatment levels, the sample sizes, the F value, the overall statistical significance of the test, and
In recent years, the debate over the Canadian economy has been constant. The electorate seems somewhat divided as to whether the economy is in a recovery or not. Suppose a survey was undertaken to
Use the information given and the eight-step approach to test the hypotheses. Let α = 0.01.H0 : μ = 36Ha : μ ≠ 36n = 63, x̄ = 38.4, σ = 5.93
Complete the following two-way ANOVA table. Determine the critical F values and reach conclusions about the hypotheses foreffects. Let α = 0.05. Source of
Safety in motels and hotels is a growing concern among travellers. Suppose a survey was conducted by the National Motel and Hotel Association to determine Canadian travellers’ perception of safety
Problem 11.16 analyzed the number of hours worked per week per person at five different plants. An F value of 3.10 was obtained with a probability of 0.0266. Because the probability is less than
Suppose the following data have been gathered from a study with a two-way factorial design. Use α = 0.05 and a two-way ANOVA to analyze the data. State your conclusions. Treatment 1 A X 1.2 1.3 1.3
Multinational companies generally provide an allowance for personal entertainment for executives living overseas. Assume that 18% of Canadian-based multinational companies provide such an allowance.
Agricultural analysts are studying three different ways of planting wheat to determine whether significantly different levels of production yield will result. The analysts have access to a large farm
Study the following ANOVA table, which was generated from a simple regression analysis. Discuss the F test of the overall model. Determine the value of t and test the slope of the regression line.
Assume that according to a survey, a majority of Canadian households have tried to cut long-distance phone bills. Of those who have tried to cut the bills, 32% have done so by switching long distance
The table below shows the gross domestic product at 2012 constant prices (in $ millions) of consumer durables and nondurables in Canada. Is there a linear relationship between the shipments of
In Years 1 and 2 combined, 3,337,380 motor vehicles were sold in Canada. Year 2 accounted for 1,716,803 of these vehicles. Suppose that those manufactured overseas (outside North America) accounted
According to the Canadian Tourism Human Resource Council, 11% of all Canadians in the labour force are employed in the tourism industry.3 Fifty-one percent of those who work in this sector are under
Shown below is the part-time employment incidence (as a percentage of total employment) in Canada between 2008 and 2017, according to the Organisation for Economic Co-operation and Development
The table below shows the Consumer Price Index (CPI) for food in Canada for the years 1998 to 2018. Using regression techniques discussed in this section, analyze the data for trend. Develop a
Shown here are the median total incomes for couples with two children.a. Use these data to develop forecasts for the year 2018 using a 5-year moving average.b. Use these data to develop forecasts for
A Canadian supermarket carried out a survey among its customers to predict the factors that influenced the visit frequency to the store. Number of visits refers to the number of times a consumer
In Problem 14.17, you were asked to use stepwise regression to predict amount spent by value, durability, and service. Study the stepwise results, including the regression coefficients, to determine
Determine the equation of the trend line for the data shown below on Canadian balance of payments for exports of wheat over a five-year period provided by Statistics Canada. Using the trend line
Shown below are the long-term interest rates in Canada over a seven-month period according to the OECD. Use these data to construct a trend line and to forecast the long-term interest rate for June
The Chartered Professional Accountants of Canada reported that the average amount of planned spending on gifts for the holiday season in 2018 was $643. In the U.S., however, the average amount of
The Canada Beef Export Federation reports that the top six destinations for Canadian beef in a recent year were the U.S. with $1,697 million, Mexico with $269 million, Japan with $171 million, South
Highway engineers in Alberta are painting white stripes on a highway. The stripes are supposed to be approximately 3 m long. However, because of the machine, the operator, and the motion of the
A national survey showed that a certain brand of cold cuts was priced, on average, at $1.15 per 100 g. Suppose a national survey of 23 retail outlets was taken and the price per 100 g of these cold
What proportion of small manufacturing companies in the Greater Toronto Area has a 3D printer? You want to answer this question by conducting a random survey. How large a sample should you take if
Suppose you want to estimate the proportion of cars that are sport utility vehicles (SUVs) being driven in Regina at rush hour by standing on the corner of Victoria Avenue and Albert Street and
Companies often print their corporate policies for training purposes. What is the average length of a company’s policy book? Suppose policy books are sampled from 45 medium-sized companies. The
Is the environment a major issue with Canadians? To answer that question, an analyst conducts a survey of 1,255 randomly selected Canadians. Suppose 714 of the sampled people replied that the
According to a survey, the average cost of a fast-food meal (quarter-pound cheeseburger, large fries, medium soft drink, excluding taxes) in a certain city is $6.82. Suppose this figure was based on
A research firm has been asked to determine the proportion of all restaurants in the province of Nova Scotia that serve alcoholic beverages. The firm wants to be 98% confident of its results but has
A life insurance salesperson claims the average worker in the city of Winnipeg has no more than $25,000 of personal life insurance. To test this claim, you randomly sample 100 workers in Winnipeg.
A local company installs natural-gas barbecues. As part of the installation, a ditch is dug to lay a small natural-gas line from the barbecue to the main line. On average, the depth of these lines
The American Water Works Association reports that, on average, men use between 40 L and 60 L of water daily to shave when they leave the water running. Suppose the following data are the numbers of
Downtime in virtually any business can be costly. In a manufacturing setting, it means less product produced in a given time period while still having to pay the bills. This might mean late
Suppose a market analyst wants to determine the difference in the average price of 4 L of milk in Vancouver and Montreal. To do so, he takes a telephone survey of 31 randomly selected consumers in
According to Gartner Inc., the largest share of the worldwide PC market is held by HP Inc. with 19.8%. Suppose that a market analyst believes that HP Inc. holds a higher share of the market in
According to Statistics Canada, the average Canadian generates 2 kg of solid waste per day. Suppose we believe that, because of recycling and a greater emphasis on the environment, the figure is now
A study was conducted to compare the costs of supporting a family of four Canadians for a year in different foreign cities. The lifestyle of living in Canada on an annual income of $75,000 was the
In a recent year, turkey prices increased across Ontario, the top turkey-producing province. Suppose a random sample of turkey prices is taken from across the nation in an effort to estimate the
A company’s auditor believes the per diem cost in Windsor, Ontario, rose significantly between 2011 and 2021. To test this belief, the auditor samples 51 business trips from the company’s records
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 drink combination for $4.71. The weekly
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
Suppose a real estate agent is interested in comparing the asking prices of condos in Montreal and Halifax. The agent conducts a small telephone survey in the two cities, asking the condo prices. A

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