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mathematics
business statistics

Questions and Answers of Business Statistics

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.
Furniture Land surveyed 600 consumers and found that 414 were enthusiastic about a new home dècor it plans to show in its store in High Point. Construct the 99% confidence interval for the
An important factor in selling a residential property is the number of people who look through the home. A sample of 15 homes recently sold in the Halifax, Nova Scotia, area revealed the mean number
A study of 25 graduates of colleges revealed the mean amount owed by a student was $14,381. The standard deviation of the sample was $1892. Construct a 90% confidence interval for the population
The Badik Construction Company limits its business to constructing decks. The mean time to construct one of its standard decks is 8 hours for a two-person construction crew. The information is based
A recent study of 50 self-service gasoline stations in a metropolitan area revealed that the mean price of unleaded gas was $1.30 per litre. The sample standard deviation was $0.07 per
The Pear Tree would like to estimate the mean amount spent by their customers at their weekend brunch during the summer. The population estimate of the standard deviation is 30 and they want the mean
There are 300 welders employed at the Weller Shipyards Corporation. A sample of 30 welders revealed that 18 had graduated from a registered welding course. Construct the 95% confidence interval for
A shipment of 500 dolls is received by Panda Importers. The quality control manager selects a random sample of 75 to test. Five are found to be defective. Construct a 90% confidence interval for the
Sixty items are randomly selected from a population of 900. The number of defective items is found to be 12. Develop a 95% confidence interval for the population proportion of defective items.
A gift shop advertises that they stock 500 items that are priced under $50. A sample of 49 items are randomly selected and the sample mean price is $40, with a sample standard deviation of 9. Develop
Thirty-six items are randomly selected from a population of 300 items. The sample mean is 35, and the sample standard deviation is 5. Develop a 95% confidence interval for the population mean.
Refer to the Real Estate Data—Saskatoon online, which reports information on home listings.a. Compute the mean and standard deviation of the distribution of the list prices for the homes. Assume
Out of a sample of 200 students, 75 indicated that they preferred chocolate ice cream to vanilla ice cream.a. Estimate the value of the population proportion of those who preferred chocolate ice
An automobile insurance company wants to estimate the mean time workers who are employed in the downtown office spend getting to work. A sample of 15 workers reveals the following number of minutes
Taylor Industries and Caldwell Securities are considering jointly offering child care for their employees. As a part of the feasibility study, they wish to estimate the mean weekly child care cost of
In a class of 25 students the average grade on a quiz is 16.85, with a standard deviation is 4.75. The grades are known to be normally distributed.a. Determine the standard error of the
A sample of 20 observations is selected from a normal population. The sample standard deviation is 26.25, and the sample mean is 75.a. Determine the standard error of the mean.b. Determine
Bob Nale is the owner of Nale’s Texaco Gas Town. Bob would like to estimate the mean number of litres (L) of gasoline sold to his customers. Assume that the number of litres sold follows the normal
A sample of 25 observations is selected from a normal population where the population standard deviation is 4.75. The sample mean is 16.85.a. Determine the standard error of the
In a sample of 40 days taken at Town Talk Bakery, it was found that an average of 75 cakes per day were sold. From past surveys, the population standard deviation was found to be 25 cakes per
A sample of 10 observations is selected from a normal population for which the population standard deviation is known to be 5. The sample mean is 20.a. Determine the standard error of the
A sample of 81 adults attending a country fair determined that the mean age was 40. Given that the population standard deviation is known to be 5, determine the 95% confidence interval for the
Refer to the Real Estate Data—Halifax Area online, which reports information on home listings.a. Compute the mean and standard deviation of the distribution of the list prices for the homes. Assume
A sample of 49 marketing sales representatives was taken from a normal population to determine the amount of their salary after five years. The sample mean was $55000, with a known population
It has been estimated that 25% of all university students switch majors within their first two years of starting classes. If a random sample of 500 third-year students is taken at a city university,
Ms. Angelina Marie is considering running for mayor of her town for the second time. The first time, she received 75% of the popular vote. What is the probability that in a sample of 300 town
The college cafeteria finds that 30% of students will buy a dessert if it is properly advertised. The cafeteria manager is thinking of hiring an arts student to create a poster of a new apple and ice
Dawson’s Repair Service orders parts from an electronic company, which advertises its parts to be no more than 2% defective. What is the probability that Bill Dawson finds three or more parts out
Given p = 0.09 and n = 50, compute the standard error of the proportion.
Given p = 0.45 and n = 200, compute the standard error of the proportion.
The college decided to survey the students according to their programs of study. A random sample was selected from each program.
The college determined that of its 10 000 students, 500 surveys would be sufficient to achieve satisfactory results. The students attending in that semester were sorted according to their student
Refer to the Whitner Autoplex data on Connect, which include information on the selling prices of vehicles sold at Rob Whitner’s dealership.1. Calculate the mean and standard deviation for the
The Tea Delish Company claims that 40% of its customers are between 35 to 45 years of age. In a random sample of 250 customers:a. What is the probability that between 100 and 115 customers were
The Canadian operation of the Customer Care Department of a global pharmaceutical company receives between 600 and 700 calls per day. The department’s objective is that no more than 5% of the calls
A total of 2000 college and university students responded to a provincial survey concerning the number of paid hours they worked during the week while registered in classes. Of particular interest
The owner of the Coffee Bean Cafe states that she sells 500 cupcakes per day. Along with staple flavours, such as double chocolate and vanilla bean, which are always available, each day of the week
A manufacturing process produces 5% defective items. What is the probability that in a sample of 50 items:a. 10% or more will be defective?b. Less than 1% will be defective?c. More than 10%
A convenience store estimates that 25% of its customers come in to buy milk. What is the probability that out of the next 200 customers, 60 or fewer will buy milk?
A preliminary survey shows that 35% of college students smoke. In a class of 42 students, what is the probability that more than half the students smoke?
The average grade in a statistics course has been 69, with a standard deviation of 12.5. If a random sample of 50 is selected from this population, what is the probability that the average grade is
The Crossett Trucking Company claims that the mean mass of its delivery trucks when they are fully loaded is 2700 kg and the standard deviation is 68 kg. Assume that the population follows the normal
The mean age at which men in Canada marry for the first time is 30.6 years. The standard deviation of the population distribution is 2.5 years. For a random sample of 60 men, what is the likelihood
Canada’s Wonderland theme park would like to do a survey to find out how often families visit in a season and how long they stay on each visit. How would you suggest taking this sample? What type
What is sampling error? Could the value of the sampling error be zero? If it were zero, what would this mean?
List the reasons for sampling. Give an example of each reason for sampling.
The commercial banks in the financial district are to be surveyed. Some of them are very large, with assets of more than $500 million; others are medium-sized, with assets between $100 million and
Plastic Products is concerned about the inside diameter of the plastic PVC pipe it produces. A machine extrudes the pipe, which is then cut into three-metre lengths. About 720 pipes are produced per

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