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mathematics
business statistics

Questions and Answers of Business Statistics

The table below shows the weekly expenses for a family of four. Construct a pie chart displaying his information.Item Expense .....................................................................
The table below shows Department of Foreign Affairs and Trade data for the value (in A$ million) of Australian exports to the top 10 buyers of Australian goods. Construct a pie chart to represent
The following figures are type and corresponding proportion of expense required to create a new processed food product, ready to introduce to the market. Produce a pie chart and a Pareto chart for
In a medium-sized New Zealand city, 90 houses are for sale, each with about 180 m2 of floor space. The asking prices vary. The frequency distribution shown contains the price categories for the 90
A company manufactures a metal ring, which usually weighs about 1.4 kg, for industrial engines. A random sample of 50 of these metal rings produced the following weights (in kg). Construct a
Data were collected on the number of passengers at each train station in Melbourne. The numbers for the weekday peak time, 7 am to 9:29 am, is given below. Construct a frequency distribution for
The following data are the average monthly after tax salary in 2020 for 162 countries. ? a.?Construct a frequency distribution for the data using five class ? ? intervals. b.?Construct a frequency
For the following data, construct a frequency distribution table with six classes. 42 42 78 56 36 40 114 52 46 102 86 70 36 58 46 72 58 56 94 58 36 104 92 100 82 84 62 112 92 66
Define machine learning in the context of data mining.
Compile a list of every piece of data you have provided to business organisations over the past 24 hours (choose a shorter or longer time if necessary). Do you think these data are valuable to those
Cricket Australia wants to run a marketing campaign to increase attendance at test matches. You have been hired as a consultant to conduct a survey and prepare a report on your findings.(a) What
Classify each of the following as nominal, ordinal, discrete or continuous data.(a) The RBA interest rate(b) The return from government bonds(c) The customer satisfaction ranking in a survey of a
For each of the following companies, give examples of data that could be gathered and what purpose these data would serve: Bluescope Steel, AAMI, Jetstar, IKEA, Telstra, ANZ Bank, Sydney City
Differentiate between data and information.
After a losing season, there is a great uproar to fire the head basketball coach. In a random sample of 200 college students, 80 favour keeping the coach. Test at the 0.05 level of significance
A company is researching the effectiveness of a new design to decrease the time to access a website. Ten website users were randomly selected?five accessed websites using the old web design, and the
What is the critical F-value for a sample of six observations in the numerator and four in the denominator? Use a two-tailed test and the 0.10 significance level.
A real estate agent in Northern Ontario wants to compare the variation in the selling price of homes on waterfronts with those one to three blocks from the water. A sample of 21 waterfront homes sold
A physician who specializes in weight control has three different diets she recommends. As an experiment, she randomly selected 15 patients and then assigned 5 to each diet. After three months the
Jack Wolicki is a production supervisor in an industrial manufacturing company. He would like to determine whether there is more variation in the number of units produced on the afternoon shift than
There are four auto body shops in Shell River, Manitoba, all of which claim to serve customers promptly. To check if there is any difference in service, customers are randomly selected from each
The Simone Company is considering a new computer program to speed up the processing of its inventory. Two programs are being considered: Program A and Program B. To test the programs, 23 employees
The Sally Coffee Shop is considering closing one hour earlier in the evening through the week. Sally obtained the following data from a study taken last week of the number of customers between the
The following sample observations were randomly selected: a.?Draw a scatter diagram.b.?Determine the regression equation.c. Determine the value of y? when x is 7. x: 3 4 15 12 y: 13 13 11
The owner of Maumee Motors wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at Maumee Motors last year: a. If we
Refer to Exercise 1.a.?Determine the standard error of estimate.b. Suppose a large sample is selected (instead of just five). About 68% of the predictions would be between what two values? Exercise
Refer to Exercise 2.a.?Determine the standard error of estimate.b. Suppose a large sample is selected (instead of just eight). About 95% of the predictions would be between what two
Refer to Exercise 8. Determine the standard error of estimate. Exercise 8 The owner of Maumee Motors wants to study the relationship between the age of a car and its selling price. Listed below is a
Refer to Exercise 1.a.?Determine the 95% confidence interval for the mean predicted when?x?=?7.b.?Determine the 95% prediction interval for an individual predicted when?x?=?7. Exercise 1. The Sally
Refer to Exercise 2.a.?Determine the 95% confidence interval for the mean predicted when?x?=?7.b.?Determine the 95% prediction interval for an individual predicted when?x?=?7. ?Exercise 2 The
The Sally Coffee Shop is considering closing one hour earlier in the evening through the week. Sally obtained the following data from a study taken last week of the number of customers between the
Bi-lo Appliance Super Store has outlets in several large Canadian cities. The general sales manager plans to air a commercial for a digital camera on selected TV stations prior to a sale starting on
Using the preceding problem, involving years on the job and weekly production, verify that the coefficient of determination is, in fact, 0.80.Coefficient of correlation r = 0.8944, found by
The number of shares of Icom Inc. turned over during a month and the prices at the end of the month are listed in the following table. Also, the y? values on the line going through observed data are
According to basic economics, as the demand for a product increases, the price will decrease. Listed below is the number of units demanded and the
A Canadian Automobile Association (CAA) study of 12 automobiles revealed a correlation of 0.47 between the engine size and performance. At the 0.01 significance level, can we conclude that there is a
A sample of 30 used cars sold by Northcut Motors in 2009 revealed that the correlation between the selling price and the number of kilometres driven was -0.45. At the 0.05 significance level, can we
A sample of 15 financial executives in the pharmaceutical industry revealed the correlation between the amount of fat (in grams) an executive consumed the previous day and that executive’s
Dr. Raymond Lim wants to investigate the relationship between stress and job satisfaction. To begin, he developed a profile for stress based on assigning points for significant events, such as the
The following output shows the relationship between units sold and price: a.?Does the number of units sold seem to increase as the price increases?b.?How much of the variation in the units sold is
The following output shows the relationship between the number of hours studied and the final grade in a statistics course: a.?Does the final grade seem to increase as the number of hours studied
What is the relationship between the amount spent per week on food and the size of the family? Do larger families spend more on food? A sample of 10 families revealed the following figures for family
A sample of 12 condominiums sold last week is given below. Can we conclude that as the number of bedrooms increases, the selling price (reported in $ thousands) also increases? a.?Compute the
An ANOVA table is given: a.?Complete the ANOVA table.b.?How large was the sample?c.?Determine the standard error of estimate.d. Determine the coefficient of determination. SOURCE MS DF SS Regression
The chief of security for a shopping mall in Calgary, Alberta, was directed to study the problem of missing goods. He selected a sample of 100 boxes that had been tampered with and ascertained that
In the early 2000s, the Deep Down Mining Company implemented new safety guidelines. Prior to these new guidelines, management expected there to be 0 accidents in 40% of the months, 1 accident in 30%
A recent study by a large retailer designed to determine whether there was a relationship between the importance a store manager placed on advertising and the size of the store revealed the following
Two hundred managers from various levels were randomly selected and interviewed regarding their concern about environmental issues. The response of each person was tallied into one of three
A recent survey suggested that 55% of all adults favoured legislation requiring restaurants to include information on their menus regarding calories, fat, and carbohydrates of the menu items. The
Is it proper to respond with an email after a job interview thanking the prospective employer for the interview? This question was asked of a sample of 200 human resource professionals and 250
A survey of movie ticket purchases made last Sunday afternoon showed the following: Is there a relationship between the type of movie ticket purchased and gender? Use the 0.01 significance level.
The Coffee Producers Association reports the following information on age and the amount of coffee consumed in a month. Each of the 300 respondents is classified according to two criteria: (1) his or
A sample of executives was surveyed about loyalty to their company. One of the questions was, ?If you were given an offer by another company equal to or slightly better than your present position,
A dairy producer is developing ice cream flavours. At a recent country fair, 300 adults were asked to taste test four of the latest flavours: carrot cake, coffee walnut, apple-taffy and coconut
Are students more likely to be absent from classes on Fridays? A count was taken in Mr. Smythe’s statistics class over the past four weeks. The results are as follows:Day of the Week Number
From a recent survey of 1500 households in Canada, the Cable and Telecommunications Association reported that the numbers of HDTVs per household are as follows:Number of HDTVs Number of
Professor Brown has been teaching Statistics 201 for 20 years. In the past, student grades for the 40 students in his classes have been distributed with the breakdown shown in the following table in
Refer to the Real Estate Data—Saskatoon area online, which include reports on home listings.a. Develop a contingency table that shows the type of listing (apartment + townhouse, or house). Is there
Refer to the Real Estate Data—Halifax Area online, which reports information on home listings.a. Develop a contingency table that shows the type of listing (apartment, townhouse, or house). Is
Refer to the Whitner Autoplex file online, which reports information on car sales.a. Develop a contingency table that shows the code and selling price. Is there an association between the variables
Did students score higher on the open-ended questions? Test at the 0.05 level of significance. Given the survey results, can the distributor conclude there are significantly fewer sales in the month
Ten randomly selected statistics questions were given 15 multiple-choice questions and 15 open-ended questions, all on the same material. The professor was interested in determining if students
An investigation of the effectiveness of a training program to improve customer relationships included a pre-training and post-training customer survey. To compare the differences, they computed
A study was conducted to determine if there was a difference in the humour content in British and Canadian trade magazine advertisements. In an independent random sample of 270 Canadian trade
In a poll recently conducted at a downtown college, 68 out of 98 male students and 45 out of 85 female students expressed “at least some support” for implementing regulations to limit greenhouse
A financial services company has 39 female top executives (presidents or vice presidents) among its 388 senior managers in its Banking Services division, while there are only 11 female top executives
Century Business Products tested 180 whiteboard markers that they had in stock and found that 13 failed to perform adequately and had to be replaced immediately. The same test was applied to a sample
The Simone Company is considering a new computer program to speed up the processing of its inventory. Two programs are being considered: Program A and Program B. To test the programs, 50 employees
The research department at the home office of Superior Insurance conducts ongoing research on the causes of automobile accidents, the characteristics of the drivers, and so on. A random sample of 400
A sample of scores on an examination given in Statistics 201 is as follows: At the 0.01 significance level, is the mean grade of the women higher than that of the men? Calculate and interpret
A financial analyst wants to compare the turnover rates, in percentages, for shares of oil-related stocks versus other stocks, such as General Electric (GE) and IBM. She selected 32 oil-related
As part of a study of corporate employees, the director of human resources for PNC Inc. wants tocompare the distance travelled to work by employees at its downtown and midtown offices. Asample of 35
The Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor’s. A sample of 40 babies using the Gibbs products revealed a mean weight gain of 3.5
Cities Only data online, which reports information on average house prices nationally and in a selection of cities across Canada.a. Develop a 98% confidence interval for the mean list price for all
Refer to the Real Estate Data—Saskatoon online, which reports information on home listings.a. A recent article indicated that the mean list price of the homes is less than $600000. Can we conclude
Refer to the Real Estate Data—Halifax Area online, which reports information on home listings.a. A recent article indicated that the mean list price of the homes is more than $600000. Can we
Refer to the CREA (Canadian Real Estate Association) Cities Only data online, which reports information on average house prices nationally and in a selection of cities across Canada.a. Develop a
A coin toss is used to decide which team gets the ball first in most sports. It involves little effort and is believed to give each side the same chance. In 45 Super Bowl games, the National Football
According to an article appearing in The Canadian Veterinary Journal, 56% of Canadian households have at least one dog or a cat. To test the validity of the article, a random sample of 300 households
The 2011 census reports that the average number of residents per private household in Canada is 2.5. A sample of 28 households in Swift Current, Saskatchewan, showed the mean number of residents per
According to a recent news survey, 40% of adults do not eat breakfast. A sample of 30 college students found 16 had skipped breakfast that day. Use the 0.01 significance level to check whether
A shopping centre wants to examine the amount of space required for parking. Studies indicated that 50 of staff and shoppers use public transportation. A survey of 1002 was taken, and 483 responded
It is recommended that you use the five-step hypothesis testing procedure in solving the following problems:A recent article in a magazine reported that a job awaits only one in three new college
A national grocer’s magazine reports the typical shopper spends eight minutes in line waiting to check out. A sample of 24 shoppers at the local No Frills showed a mean of 7.5 minutes, with a
A fast food restaurant chain claims that lunch will be served within nine minutes of placing your order, or it is free. A sample of eight customers revealed the following waiting times in minutes: At
The Myers Summer Casual Furniture Store tells customers that a special order will take six weeks (42 days). During recent months, the owner has received several complaints that the special orders are
An urban planner claims that, nationally, 20% of all families renting condominiums move during a given year. A random sample of 200 families renting condominiums in Vancouver revealed that 56 had
From past experience a television manufacturer found that 10% or less of its sets needed any type of repair in the first two years of operation. In a sample of 50 sets manufactured two years ago, 9
The policy of the Suburban Transit Authority is to add a bus route if more than 55% of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 42
The campus bookstore reported that students paid an average of $267 per semester for textbooks. To verify this statement, the student union decided to select a random sample of students and found the
At the 0.05 significance level, is there a significant difference between the average amount consumed at the college surveyed and the national average? Construct a 95% confidence interval. Use the
The 30-year mortgage rate is now less than 6.0%. A sample of eight financial institutions in Canada showed the mean mortgage rate to be 5.6375%, with a standard deviation of 0.6346%. At the 0.01
The 30-year mortgage rate is now less than 6.0%. A sample of eight financial institutions in Canada showed the mean mortgage rate to be 5.6375%, with a standard deviation of 0.6346%. At the 0.01
According to the local union president, the mean gross income of plumbers is normally distributed, with a mean of $60000 and a standard deviation of $6000. An investigative reporter for the local
A college states that the mean number of kilometres per day that students travel for classes is 4.0. A study is done each year to verify the statement. The study for 2018 was done in the fall
Seventy-three percent of the 500 students surveyed voted in favour of the new breakfast menu in the college cafeteria.a. Estimate the value of the population proportion of those college students who
The Manitoba Tourism Board plans to sample information centre visitors entering the province to learn the fraction of visitors who plan to camp in the province. Current estimates are that 35% of
It is claimed that 60% of households now subscribe to cable TV. You would like to verify this statement for your class in mass communications. If you want your estimate to be within 5 percentage
The bank in Cobden, Ontario, has 650 chequing account customers. A recent sample of 50 of these customers showed 26 to have a Visa card with the bank. Construct the 99% confidence interval for the
Brampton’s traffic patrol reports 500 traffic citations were issued last month. A sample of 35 of these citations showed the mean amount of the fine was $54, with a standard deviation of $4.50.

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