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Questions and Answers of
Business Statistics
For the following variables, classify each as discrete or continuous qualitative or quantitative, and determine the level of measurement:a. Salary.b. Gender.c. Sales volume of MP3
Refer to the Real Estate Data—Whistler, BC, online, which reports information on listed homes for July 2016. Consider the variables: list price, number of bedrooms, full bathrooms, square feet,
Refer to the CREA (Canadian Real Estate Association) data online, which reports information on average house prices nationally and in a selection of cities across Canada. Consider the variables
Refer to the Average Weekly Earnings data online, which reports information on the average weekly earnings by year and province. The variables are province, year, and average weekly
Rob Whitner is the owner of Whitner Autoplex. Rob’s father founded the dealership in 1964, and for more than 30 years, they sold exclusively Pontiacs. In the early 1990s, Rob’s father’s health
The National Household Survey conducted by Statistics Canada in 2011 reports that 851 560 people identified themselves as First Nations persons, 451 795 identified themselves as Métis, 59 445
Shown below are the student loan amounts for 2018 for eight students in the business administration program. Develop a bar chart for the data, and summarize the results in a brief report. Amount ($)
Stop-One.com, a large Internet retailer, is studying the lead time (elapsed time between when an order is placed and when it is filled) for a sample of recent orders. The lead times are reported in
The Consumer Price Index increases from 2006 to 2015 (base year 2002 = 100) is shown in the following table (statcan.gc.ca/tables-tableaux/sum-som/l01/cst01/econ161a-eng.htm). Construct a line chart
The number of minutes that it takes an auditor to process an invoice is given in the table below: a.?What is the arithmetic mean of processing time?b.?Find the median and mode of the processing
Gas prices in St. John’s, Newfoundland, have increased from 64.1 cents per litre for regular unleaded in 1990 to 121.7 cents per litre in 2016 (www40.statcan.gc.ca/l01/cst01/perecon154a-eng.htm).
In 2011, there were 42 million pager subscribers. By 2016, the number of subscribers increased to 70 million. What is the geometric mean annual increase for the period?
The average tuition fees for dentistry in Canada increased from $7863 for the 1999–2000 academic year to $21 021 in the 2016–2017 academic year
Colton spent the following amounts in the cafeteria last week: $8, $3, $7, $3, and $4. Consider these five amounts a population.a. Determine the mean of the population.b. Determine the
The number of customers ordering sandwiches from BagelStop between 8 and 9 am on six consecutive days was 13, 3, 8, 10, 8, and 6. Consider these six values a population.a. Determine the mean of
The number of returns audited on each day last week are: 7, 2, 6, 2, and 3. Consider this sample data.a. Compute the sample variance.b. Determine the sample standard deviation
The following number of bags of cookies were removed from a production line in the last five hours to be tested for quality purposes: 11, 6, 10, 6, and 7.a. Compute the sample
The following figure portrays the appearance of a distribution of efficiency ratings for employees of Nale Nail Works Inc.: a.?Estimate the mean efficiency rating.b.?Estimate the standard deviation
For a sample of students in a college studying Business Administration, the mean grade-point average is 3.10, with a standard deviation of 0.25. Compute the coefficient of variation.
Skipjack Airlines is studying the mass of luggage for each passenger. For a large group of domestic passengers, the mean is 21 kg, with a standard deviation of 5 kg. For a large group of overseas
The research analyst for the Sidde Financial stock brokerage firm wants to compare the dispersion in the price-earnings ratios for a group of common stocks with the dispersion of their return on
The following data is the ages of a group of tourists horseback riding in Calgary, Alberta. Determine the median and the values corresponding to the first and third quartiles. 49 49 54 51 54 53 46 47
In a study of the fuel efficiency of model year 2010 automobiles, the mean efficiency was 12 kilometres per litre (km/L), and the median was 11.7 km/L. The smallest value in the study was 5.5 km/L,
Determine the mean, median, and standard deviation of the following frequency distribution: Class Frequency 0 to under 5 2 5 to under 10 7 10 to under 15 12 15 to under 20 20 to under 25 3
Determine the mean, median, and standard deviation of the following frequency distribution: Class Frequency 20 to under 30 30 to under 40 12 21 40 to under 50 50 to under 60 18 60 to under 70 12
The following frequency distribution reports the amount, in thousands of dollars, owed by a sample of 50 public accounting firms. Find the mean, median, and standard deviation. Amount ($ thousands)
The Canadian government wants to know the relative age of its workforce. As the ?baby boom? generation becomes older, the government is concerned about the availability of younger, qualified workers.
The uncertainty in the stock market led Sam to diversify his investments. However, he still felt that stock options would earn the most, so he left the bulk of his funds in stock options. The table
Listed below are the commuting distances, in kilometres, of students attending college for their first year: a.?What is the arithmetic mean distance travelled?b.?What is the median distance
The Carter Construction Company pays its summer students an hourly rate of $13 for general labour, $15.50 for landscaping, or $18 for road work. Forty students were hired for the summer, 20 for
A library has seven branches in its system. The number of volumes (in thousands) held in the branches are83, 510, 33, 256, 401, 47, and 23.a. Is this a sample or a population?b. Compute the
A major airline wanted some information on those enrolled in its ?frequent flyer? program. A sample of 48 members resulted in the following distance flown last year, in thousands of kilometres, by
The National Muffler Company claims they will change your muffler in less than 30 minutes. An investigative reporter for WTOL Channel 11 monitored 30 consecutive muffler changes at the National
The following box plot shows the number of daily newspapers published. Summarize the findings. Be sure to include information on the values of the first and third quartiles, the median, and whether
A data distribution has a median value of 85, a first-quartile value of 80, and a third-quartile value of 100. Would the following values be considered a low outlier, a high outlier, or not an
Find the mean, median, mode, standard deviation, and interquartile range. Consider these sample data. Grade on Quiz 3 4 5 7 10 Number of Students 20 4 4
Find the mean, median, mode, standard deviation, and interquartile range. Consider these sample data. 60 Grade on Quiz 50 70 80 90 100 17 21 8. 13 Number of Students 2 40
The final marks for the Wednesday class in Statistics 101 are ready to be posted. The class average is 70%, with a standard deviation of 8. Use the Empirical Rule to answer the following
The final marks for the Wednesday class in Statistics 101 are ready to be posted. The class average is 72%, with a standard deviation of 9. Use the Empirical Rule to answer the following
Refer to the following data: 11 26 34 12 15 33 37 55 41 36 42 14 39a. Determine the values for the first, second and third quartiles.b. Sketch a boxplot for the data.c. Beyond what
Refer to the following data: 110 265 344 125 165 333 537 855 410 362 412 114 390 115a. Determine the values for the first, second and third quartiles.b. Sketch a boxplot for the
A national pollster has developed 15 questions designed to rate the performance of the prime minister of Canada. The pollster will select 10 of these questions. How many different arrangements are
The chair of the board of directors says, “There is a 50% chance this company will earn a profit, a 30% chance it will break even, and a 20% chance it will lose money next quarter.”a. Use an
There are 10 marbles in a bag: red, blue and green. Some are clear and some are solid. Refer to the following table: If a marble is selected:a.?Determine?P(Red).b.?Determine?P(Clear|Blue).c.
Students were surveyed on the number of visits to a Marc?s Milk convenience store (often, occasional, or never) and if the store was conveniently located to their school (yes or no) a. What is the
Define each of these items:a. Conditional probability.b. Event.c. Joint probability
How many possible outcomes are there when a coin is tossed six times?
A photographer has four pictures to arrange for a gallery showing. In how many ways can the photographer arrange the pictures?
How many ways are there of drawing seven cards from a deck of 52 cards? Note that the cards are not replaced.
In how many ways can the digits from 0 to 5 be arranged three at a time?
Eight-ball pool, one of the most popular pool games, has 15 coloured and striped balls, numbered from 1 to 15, and a white cue ball. In how many ways could six of the numbered balls be arranged?
A committee of 5 is selected from a group of 7 faculty and 50 students. In how many different ways can the committee be selected if it must consist of two faculty and three students?
A panel discussion of seven employees consists of 4 women and 3 men. In how many ways can this group be selected from 15 men and 20 women?
If a committee of 6 is being selected from a group of 10 men and 12 women, in how many ways can this committee be arranged if at least 3 must be women?
A crew of eight is required for each midnight shift at the airport. There are 50 employees to choose from, and 30 of these are men. In how many ways can the crew be selected if at least half must be
A survey of undergraduate students in the School of Business at Northern University revealed the following regarding the gender and majors of the students: a.?What is the probability of selecting a
Consumers were surveyed on the number of visits to a Sears store (often, occasional, and never) and if the store was located in an enclosed mall (yes and no). The results are summarized in a
The marketing department has been given the assignment of designing colour codes for the 42 different lines of compact disks (CDs) sold by Goody Records. Three colours are to be used on each CD, but
a. Some Saskatchewan licence plates have three letters and three numbers. How many licence plates of this type can there be?b. Some Ontario licence plates have four letters and three numbers. How
Canadian postal codes consist of three letters and three digits, which alternate and start with a letter. For example, R2E 0M4 is a postal code from Winnipeg, Manitoba. How many postal codes can be
A study was done of the 377 vehicles parked in the college parking lot last Friday. The results were as follows: a.?What is the probability of finding a white car?b.?What is the probability of
Refer to the Real Estate Data—Orleans online, which reports information on list prices, listing number, type, number of bathrooms, number of bedrooms, title, year built, and area.a. What is
Refer to the Real Estate Data—Orleans online, which reports information on list prices, listing number, type, number of bathrooms, number of bedrooms, title, year built, and area.a. What is
Refer to the Real Estate Data—Orleans online, which reports information on list prices, listing number, type, number of bathrooms, number of bedrooms, title, year built, and area.a. What is
Refer to the Real Estate Data—Orleans online, which reports information on list prices, listing number, type, number of bathrooms, number of bedrooms, title, year built, and area. Sort the data
Refer to the Real Estate Data—Orleans online, which reports information on list prices, listing number, type, number of bathrooms, number of bedrooms, title, year built, and area. Sort the data
Refer to the Real Estate Data—Saskatoon online, which reports information on list prices, type, number of full and half bathrooms, number of bedrooms, and total square feet.a. What is the
Refer to the Real Estate Data—Saskatoon online, which reports information on list prices, type, number of full and half bathrooms, number of bedrooms, and total square feet.a. What is the
Refer to the Real Estate Data—Saskatoon online, which reports information on list prices, type, number of full and half bathrooms, number of bedrooms, and total square feet.a. What is the
Refer to the Real Estate Data—Saskatoon online, which reports information on list prices, type, number of full and half bathrooms, number of bedrooms, and total square feet. Sort the data into a
Refer to the Real Estate Data—Saskatoon online, which reports information on list prices, type, number of full and half bathrooms, number of bedrooms, and total square feet. Sort the data into a
Refer to the Real Estate Data—Saskatoon online, which reports information on list prices, type, number of full and half bathrooms, number of bedrooms, and total square feet. Sort the data into a
Sam Simone is the manager of a family-run pet store. He is deciding whether to open an hour later on Sundays. From past sales on Sundays he has determined that the probability of zero sales during
Compute the mean and variance of the following discrete probability distribution:x ................P(x)2 ................0.58 ................0.310 .............0.2
Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. a.?Which of the above tables is a probability
The following table lists the probability distribution for cash prizes in a lottery conducted at Lawson’s Department Store:Prize ($) ................Probability$0
You are asked to match three songs with the performers who made those songs famous. If you guess, the probability distribution for the number of correct matches is: What is the probability you will
The parking authority in downtown Halifax reported the following information for a sample of 250 customers on the number of hours cars are parked and the amount they are charged: a. Convert the
The likelihood that a student will go to the cafeteria during a class break is 0.25. In a sample of 4 students, determine the probabilities of the following
The likelihood that an adult attending a weekday afternoon theatre performance is a senior is 0.40. In a sample of 5 adults, determine the probabilities of the following
A recent survey found that 60% of college students had part-time jobs. If 12 students are selected, find the following probabilities:a. x = 5.b. x ≤ 5.c. x ≥ 6.
Steele Electronics Inc. sells expensive brands of stereo equipment in several shopping malls. The marketing research department of Steele reports that 30% of the customers entering the store that
Kolzak Appliance Outlet just received a shipment of 10 TV sets. Shortly after they were received, the manufacturer called to report that he had inadvertently shipped three defective sets. Ms. Kolzak,
Professor Jon Hammer has a pool of 15 multiple-choice questions regarding probability distributions. Four of these questions involve the hypergeometric distribution. What is the probability at least
Professor Hunking finds an average of 4 grammatical errors (x) per case study submitted by his Business Policy class. The distribution of errors approximates a Poisson distribution.a. What is
Textbook authors and publishers work very hard to minimize the number of errors in a text. However, some errors are unavoidable. Ms. Kimberley Veevers, statistics editor, reports that the mean number
What are the requirements for the binomial distribution?
Under what conditions will the binomial and the Poisson distributions give roughly the same results?
Samson Apartments has a large number of units available to rent each month. A concern of management is the number of vacant apartments each month. A recent study revealed the percentage of the time
The vice-president of human resources at Lowes Inc. is studying the number of on-the-job accidents over a period of one month. He developed the following probability distribution. Compute the mean,
Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution. a.?Which of the above tables is a probability
The Bank of Hudson Bay reports that 7% of its credit card holders will default at some time in their life. The Moose Factory branch just mailed out 12 new cards today.a. How many of these new
A manufacturer of computer chips claims that the probability of a defective chip is 0.002. The manufacturer sells chips in batches of 1000 to major computer companies.a. How many defective chips
The sales of Lexus automobiles in the Calgary area follow a Poisson distribution with a mean of three per day.a. What is the probability that no Lexus is sold on a particular day?b. What is
An internal study at Lahey Electronics, a large software development company, revealed the mean time for an internal email message to arrive at its destination was two seconds. Further, the
Recent crime reports indicate that 18.4 motor vehicle thefts occur every hour in Canada. Assume that the distribution of thefts per hour can be approximated by a Poisson probability distribution.a.
New Process Inc., a large mail-order supplier of women’s fashions, advertises same-day service on every order. Recently, the movement of orders has not gone as planned, and there were a large
The National Aeronautics and Space Administration (NASA) has experienced two disasters. The Challenger exploded over the Atlantic Ocean in 1986, and the Columbia exploded over east Texas in 2003.
The law firm of Hagel and Hagel is located in downtown Winnipeg. There are 10 partners in the firm: 7 live in Osborne Village and 3 live in St Boniface. Wendy Hagel, the managing partner, wants to
a. Construct a probability distribution for x = number of big-screen TVs sold.b. What is the expected number of big-screen TVs sold per month? Interpret this value.c. The price of a big-screen
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