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Analyzing Data And Making Decisions Statistics For Business Microsoft Excel 2010 Updated 2nd Edition Judith Skuce - Solutions
A college is concerned that the scarcity of housing in the immediate area has made it difficult for students to find affordable accommodation. It is claimed that the average monthly rent paid by a student at the college is $500. A random sample of 40 students is surveyed, and their monthly rent
A college wants to estimate the proportion of its students who live at home with their parents. How large a sample size should be taken if the desire is to estimate the proportion to within 3%, with 98% confidence? Past research indicated that the proportion was in the neighborhood of 35%.
An ice cream store wants to expand its range of flavours, and has decided to do some research to select which flavours to add. Customers were presented with a range of new flavours, and asked which one they would like to try, if any.The codes are as follows:1 - Pecan and fudge 2 - Apple pie 3 -
A maker of toothpaste is doing quality control tests on the amount of toothpaste in the tubes. Thirty tubes of toothpaste are randomly selected, and the quantity of toothpaste in each tube is precisely measured, in millilitres. Construct a 95% confidence interval for the average amount of
A car rental agency is trying to make staffing plans. The early morning is always a busy time for rentals. The agency keeps track of the number of customers who pick up rental cars in the 8 A.M. to 10 A.M. period for a random sample of days.Construct a 99% confidence interval for the average number
A manufacturer of cars that have had a poor quality rating in the past wants to estimate the average annual maintenance expenditure for its entry-level compact in the third year of its life. A random sample of 60 customers with such cars is selected, and annual maintenance costs are tracked. Create
How large a sample size should the manufacturer described in Exercise 18 take if it wants to estimate annual maintenance costs for this entry-level compact in the third year of its life to within $10, with 98% confidence?
Using the information provided in Exercise 1 above, how large a sample size should be taken to estimate the proportion of all Canadian grocery shoppers who are trying to make healthier food choices to within 3%, with 95% confidence? How large a sample would you choose if there was no sample
A large company is trying to manage its accounts receivable more efficiently than in the past. It selects a random sample of 100 these accounts, and tracks how old they are. (The company's accounting system does not track account age, although there are plans for an upgrade soon.) The codes
The confidence interval created in Exercise 20 is quite wide. How large a sample would be necessary if the company wanted to estimate the percentage of its accounts receivable that were 0 to 30 days old to within 5%, with 95% confidence?
A college surveys incoming students every year. An excerpt of one such survey, for business students only, is available in MyStatLab (you may have looked at this data set for the Test Your Knowledge exercise at the end of Chapter 7). For this question, consider these particular incoming students as
A random sample of 212 Canadian Internet users reveals that they visited an average of 1,576 web pages per month.a. Assume the standard deviation from the sample was 521. Construct a 95% confidence interval estimate of the average number of web pages visited per month by Canadian Internet users.b.
Refer to the information in Exercise 3a above.a. How large a sample would be required to estimate the average number of web pages visited per month by Canadian Internet users to within 100 pages, with 95% confidence?b. How large a sample would be required to estimate the average number of web pages
How big a sample is necessary to estimate, to within 2 percentage points, the proportion of new graduates of a business program who are willing to relocate to find a job, with 90% confidence? If your college graduates only 350 students from the business program, what does this tell you?
A poll taken for Toronto Life magazine in the fall of 2005 surveyed 316 adults in the greater Toronto area. Four in 10 said they would keep their jobs even if they won $10 million in the lottery. Provide a 90% confidence interval for the proportion of people in the greater Toronto area who would
A survey of 30 employees living in a large metropolitan area yielded an average of 54.2 hours of work per week, with a standard deviation of 3.2 hours. Provide a 99% confidence interval for average hours of work per week for employees in this metropolitan area. The data appear to be normally
A statistics professor wants to estimate the average number of hours per week that students in statistics classes spend (outside class) working on statistics. The professor wants to estimate the number of hours to within one hour, with 95% confidence. The professor thinks that the range of hours is
A car manufacturer, worried about how increasing gasoline prices are going to affect sales, wants to estimate the percentage of the adult population in Canada who would consider buying a hybrid vehicle for their next purchase. How big a sample size should the manufacturer take if the company wants
The foreman in a small assembly plant believes that playing classical music in the plant will improve worker productivity. To try to prove his point, the foreman conducts an experiment. He records the average daily production levels for a random sample of workers overa four-week period. He then
An automobile association wants to demonstrate that maintaining tire pressure results in better fuel economy. The association selected a random sample of its members, and asked them to record their fuel consumption in litres per 100 km for all of their driving for one month. It then selected
A marketing team wanted to run a taste test between a particular brand of cola and its major competitor. A random sample of 16 cola drinkers was selected. Each was asked to taste a sample of the two colas and say which one they preferred, if any. The order in which the colas were tasted was
A Honda automobile dealer was interested in how his sales staff compared with the salespeople at the Ford dealership across the road. The Honda dealer hired a research organization to investigate. The company selected a group of adults and asked them to shop for (but not to buy) a particular make
A number of economic analysts were asked to rate their expectations for the economies of North America and Europe over the coming year, according to the following scale: (4) prospects are very promising; (3) prospects are promising in terms of growth, but with some potential for slowdown; (2) the
A random sample of 250 attendees of a wine and cheese festival were asked to rate Californian and French wines. Of the 250, 25 rated the wines about equal. Of the remainder, 150 rated Californian wines higher than French wines. At the 3% level of significance, is there evidence to suggest that all
An advertising agency wants to analyze the impact of a new advertisement about HDTVs (high definition televisions). The agency selects a random sample of potential consumers of the televisions, and asks them to rate their readiness to buy an HDTV before and after seeing the ad. The ratings are on a
A small company that specializes in gourmet cookies decides to redesign its packaging. The company owner is certain that the new package will lead to increased sales. Weekly sales at a random sample of stores in the Barrie area are recorded before and after the change in package design. Using the
Telemarketers generally read from a prepared script when they make their sales calls. A firm decides to change this prepared script, making it both friendlier and shorter. Daily sales are recorded for a random sample of telemarketers, before and after the script change. The average difference-using
The Student Services Department at a Prince Edward Island college wants to see whether there are differences in the study habits of male and female students. A random sample of female students is selected, and then a corresponding sample of male students is designed- same programs, ages, previous
An automobile association wants to demonstrate that maintaining tire pressure results in better fuel economy. The association selected a random sample of its members, and asked them to record their fuel consumption in litres per 100 km for all of their driving for one month. It then asked the
The foreman in a small assembly plant wants to see whether a training program has reduced the number of worker errors. The foreman records the weekly number of errors for a random sample of workers before the training, and again after the training. Is there sufficient evidence, at the 4%
A small company that specializes in gourmet cookies decides to redesign its packaging. The company owner is certain that the new package will lead to increased sales. Weekly sales at a random sample of stores in the Barrie area are recorded before and after the change in package design. Using the
Telemarketers generally read from a prepared script when they make their sales calls. A firm decides to change this prepared script, making it both friendlier and shorter. The numbers of daily sales are recorded for a random sample of telemarketers, before and after the script change. The data are
The Student Services Department at a Prince Edward Island college wants to see whether there are differences in the study habits of male and female students.A random sample of female students is selected, and then a corresponding sample of male students is designed-same programs, ages, previous
Why are matched-pairs samples better than independent samples for exploring cause and effect?
Construct a 95% confidence interval for the average difference in prices quoted for the bath room renovation, based on the data in Exercise 9 above.
A restaurant owner wanted to gather some data on customer taste preferences about two new salads on the menu, one a mixed-greens salad, and one a roasted vegetable salad. A random sample of diners was selected, and each diner was asked to taste both of the new salads and indicate which was
A researcher is interested in the price people would be willing to pay for a spa weekend in the country, compared with the price they would be willing to pay for a spa weekend in the city. The researcher collected data from a random sample of potential spa customers. When he created a histogram of
An accounting firm is testing a new software program. The company selects a random sample of workers and trains them on the new software until the employees are equally comfort able with the two programs. These workers are then asked to complete a set of tasks-with the old software and the new
A company decides to test two package designs for canned soup by placing cans with each design at opposite ends of the soup aisle in a random sample of 26 supermarkets. Data were collected on weekly sales for each soup. Differences in sales were symmetric, but not normally distributed. The rank sum
The manager of a financial planning firm is trying to train her staff to make greater use of their working time. To see whether this training is having any effect, she keeps track of monthly new business generated before and after the training, for all six staff members. The results are as shown in
Create a 95% confidence interval estimate for the average difference between monthly new business before training and after training. Based on your answer to Exercise 15, would you expect this interval to contain zero?In exercise
Repeat the analysis for Exercise 15 above, but this time assume the differences are not normally distributed.In exercise
A dairy products company is developing a new organic yogurt. The company assembles a panel of tasters to compare two possible formulations of the new product. The panel lists are asked to rate the taste of each yogurt on a scale of 1 to 5, with 1 corresponding to €œabsolutely delicious,€ and
A drill manufacturer wants to draw attention to a new design, which, theoretically, allows quicker changes between drill bits. The manufacturer gathers a random sample of 20 amateurs who have some experience using drills around the home. They are asked to complete a pre scribed set of tasks with
A company hires a consulting firm to conduct a seminar to improve workers€™ sense of self-esteem. Employees are given a test to assess their self-esteem before the seminar, and again afterwards. The test scores are shown below in Exhibit 9.50. A higher score indicates higher self-esteem.a. What
A large college was interested in the salaries of graduates from its business and computer studies programs. The college randomly selected a number of graduates from each program, and then matched the graduates as closely as possible in terms of age, experience, achievement at school, and location.
A large number of workers commute to work at the Honda assembly plant in Alliston, Ontario, every day. The commute can be quite long, depending on traffic conditions. Suppose the company decided to experiment with flexible hours for office workers at the plant. A random sample of these workers was
A golf course was concerned that many of its golfers were playing too slowly, thus reducing the number of players the course could host (and profits). The course marshal recorded the time (in minutes) for randomly selected foursomes in the ladies' league to play nine holes (walking). The marshal
Construct a 90% confidence interval estimate of the reduction in playing time at the golf course (see Exercise 23 above).In exerciseA golf course was concerned that many of its golfers were playing too slowly, thus reducing the number of players the course could host (and profits). The course
A random sample of employees is asked to rate the performance of a president. This president is fired, and a new president hired. After six months, the same employees are asked to rate the performance of the new president. A rating of 1 corresponds to the best performance, and 10 the worst
A software company has designed a new version of its search engine, and wants to investigate consumer response. A randomly selected group of users of the old search engine is selected, and given training with the new version of the search engine.a. The users are given a set of search tasks to
Suppose you have a sample of 50 measurements of matched-pairs data, and the histogram of differences is fairly, but not perfectly, normal. The t-test of µD leads to a rejection of the null hypothesis, indicating that the average difference between the populations is not zero. You decide to conduct
Why is the computer-based version of the Sign Test preferred to the version using the sampling distribution of p`?
You use matched-pairs sample data concerning customer ratings of a new version of a company's website compared with the old version. Your conclusion is that customers rate the new version more highly than the old version. Your friend Tom examines the same data and concludes that customer ratings of
Anew microbrewery has opened in southern Ontario. The aim is to produce an English-style ale adapted to Canadian tastes. While developing the beer recipe, the company periodically asked a panel of beer drinkers to rate the beer, on a scale of 1 to 5, where 1 is excellent and 5 is undrinkable. The
A random sample of 400 college students was asked to rate two potential designs for the new Student Centre on campus. Of these, 27 rated the designs equally. Of the remainder, 207 gave a higher rating to the more modern design. At the 2.5% level of significance, is there evidence to suggest that
A new tool is supposed to reduce the time it takes to assemble a component in a factory. A random sample of workers is selected, and the assembly times are measured with and without the new tool. The average difference in assembly time is 3.4 minutes, with a standard deviation of 4.6 minutes.
A random sample of 10 contractors was asked to quote a price for a bathroom renovation in two different houses. The bathroom renovation was technically the same in each house, with the same amount of labour and materials required. One house was in a very wealthy neighbourhood, and the other was in
The foreman at an assembly plant is concerned that the number of defective items produced on the night shift seems to be higher than during the day shift. A random sample of 45 night shifts had an average of 35.4 defects, with a standard deviation of 15.3. A random sample of 50 day shifts had an
A restaurant asked a random sample of its weeknight customers to rate their food on the following scale: 1€“€“excellent, 2€“€“good, 3€“€“fair, 4€“€“poor, 5€“€“awful. Another random sample of weekend diners was asked to rate their food. The results are shown
The owner of a drugstore is wondering whether he should target female customers in particular, because he believes that they tend to spend more than male customers. He asks the cashiers to keep track of the spending by a random sample of female customers, and a random sample of male customers, over
Construct a 95% confidence interval estimate for the average difference in purchases made by female customers compared to male customers, based on the data in Exercise 2 above. Do you expect this confidence interval to contain zero? Why or why not?In exercise
A hotdog vendor who operates just outside the front door of a major hardware store wants to know if his daily sales have increased this summer, compared with last summer. He does not have electronic records, so he selects a random sample of days from last summer, and calculates daily sales from his
A radio station is interested in whether listening habits differ by age. The station identified a random sample of 30 listeners aged 25 and younger, and asked them to keep track of the number of minutes they listened to the station in a week. The station also identified a random sample of 35
A bank with a management training program is considering promotion of one of two trainees in the Metro West division. The bank has asked for feedback for each of the trainees (that is, feedback from managers and peers). The overall ratings for each trainee are shown in Exhibit 10.16 below. The
A company that produces golf balls is trying to develop a new ball that will travel farther than its current best seller. A golf pro hits a number of balls of each type off a tee, and the distance travelled is measured exactly. The results are shown below in Exhibit 10.17. Is there evidence that
A major airport has been redesigned with the goal of reducing flight delays. The delays (in minutes) for random samples of flights before and after the upgrade are recorded. Is there evidence, at the 5% significance level, that the upgrades reduced flight delays?
A pharmaceutical manufacturer undertakes a study to prove the effectiveness of its diet pill. The company selects a random sample of 50 young women aged 18 to 25, and puts them on a weight-loss program. Half of them (randomly selected) are given the diet pill, and half are given a placebo. Total
Why is it preferable to use the t-test of µ1 - µ2 instead of the Wilcoxon Rank Sum Test, if the necessary conditions are met?
The management of a grocery store chain knows that the appearance of its stores is very important to customers. Regular surveys of customers are conducted so that appearance can be rated. The results of two surveys done in a particular store are shown below in Exhibit 10.19. Is there evidence, at a
A consumer is interested in whether the price of books in Canada has declined as a result of the strengthening of the Canadian dollar. She records the prices of several books she bought last year, and uses her bookstore's website to discover current prices for these books. The prices are shown in
One of the criteria statistics professors use to select a textbook is the number of exercises provided. One particular topic in statistics is selected: the t-test of the mean. A random sample of 15 professors is asked how many exercises students should do in order to master the topic. The sample
Construct a 99% confidence interval estimate for the difference in the number of exercises professors think are necessary and the number the students deem necessary for the situation described in Exercise 12. Do you expect the confidence interval estimate to include zero? Why or why not?In
A consumer group tested two brands of inkjet printer cartridges for a particular printer to see whether there was a difference in the number of pages produced before the cartridge ran out of ink. The printers were tested in a random sample of offices where they were used for printing invoices.
Construct a 90% confidence interval estimate for the difference in the number of pages produced by the two different cartridges described in Exercise 14 above.In exerciseA consumer group tested two brands of inkjet printer cartridges for a particular printer to see whether there was a difference in
A large college was considering switching brands of the laptop computers they lease for faculty. To test the quality of the support available, IT workers made a number of calls throughout one week to the support lines for each manufacturer. The workers recorded the number of minutes that they
Construct a 95% confidence interval estimate for the difference in wait times for ITM and Dull computers, based on the data in Exercise 16 above. Do you expect this interval to contain zero? Why or why not?In exerciseA large college was considering switching brands of the laptop computers they
A financial advisor is concerned that the time she has to spend with her clients has increased because of the increasing complexity of the investment products available. The advisor asks her assistant to keep track of exactly how many minutes she spends with a random sample of her clients every
Create a 97% confidence interval estimate of the average increase in the amount of time the financial advisor described in Exercise 18 above is spending with each of her clients.In exerciseA financial advisor is concerned that the time she has to spend with her clients has increased because of the
Suppose you are conducting a Wilcoxon Rank Sum Test to determine if population 1 is to the right of population 2. You have two samples of size 10. W1 = 78. What does this tell you?
A company with a large sales force has implemented a pilot project to test new sales management software, hoping it will reduce the amount of time sales representatives spend on the computer. A random sample of sales reps is selected 30 of them with the old software and 35 with the new software.
Construct a 96% confidence interval estimate for the average amount of time the new soft ware has saved sales reps, based on the data in Exercise 20 above.In exerciseA company with a large sales force has implemented a pilot project to test new sales management software, hoping it will reduce the
Two random samples of home computer users in Vancouver are asked to test two different types of high-speed Internet access, one provided by a cable TV company and one provided by a telephone company. The computer users are asked to rate the service after three months on a five-point scale, where 1
A lawnmower manufacturer sells partially assembled lawnmowers through large hardware stores. The manufacturer typically receives a number of calls to its toll-free line from consumers who have questions about the assembly of the lawnmowers. The manufacturer wants to reduce the number of these
Why is it important, when conducting a Wilcoxon Rank Sum Test using Appendix 5 on page 582, to calculate W from the smallest sample?
Why is the unequal-variances version of the t-test of µ1 – µ2 generally preferred to the equal-variances version? Mention three reasons.
A large accounting firm is concerned about the amount of time its managers spend dealing with email. A random sample of 27 managers taken in the past revealed that they spent, on average, 49.2 minutes per day on email, with a standard deviation of 22.3 minutes. Since then, new procedures have been
Construct a 90% confidence interval estimate of the average amount of time that is saved for managers spending time on email as a result of the new procedures described in Exercise 6.A large accounting firm is concerned about the amount of time its managers spend dealing with email. A random sample
A random sample of 55 Canadian men aged 25 to 54 were asked to keep a daily log of the hours spent doing unpaid work around the home. The time was averaged over the week. The survey was conducted in 2000 and 2009. In 2000, the average number of hours men spent doing unpaid work around the home was
Construct a 95% confidence interval estimate of the increase in the amount of time that men spent doing unpaid work around the house in 2009, compared with 2000, based on the data in Exercise 8 above.In exerciseA random sample of 55 Canadian men aged 25 to 54 were asked to keep a daily log of the
The manager of an upscale coffee store is trying to decide which of three locations would be best for a new store. The manager currently wants to determine whether there are differences in the foot traffic at each location. The manager hires three students, and has them count the number of
Many textbooks now come with an online component for self-assessment, study, and quizzes. Teachers are experimenting with the new software components, and wondering whether they have any effect on students' final grades. A teacher who has three sections of Introductory Statistics is wondering about
Refer to your analysis for Develop Your Skills 11.2, Exercise 6 (page 420). Which of the locations for a new upscale coffee store would be best?
Refer to your analysis for Develop Your Skills 11.2, Exercise 7 (page 420). Which group of customers has the highest average purchases? In exerciseThe owner of a winery is wondering whether the average purchase of visitors to her winery differs according to age. She asks the cashiers to keep track
Refer to your analysis for Develop Your Skills 11.2, Exercise 8 (page 420). How do the salaries of each stream of the business diploma program compare, five years after graduation?
A commuter is trying to figure out the fastest way to drive to work in the morning. She keeps track of the times (in minutes) for three different routes on a random sample of mornings. Her records are shown in Exhibit 11.24.You may assume the commuting times are normally distributed. Which route
Refer to your analysis for Develop Your Skills 11.2, Exercise 10 (page 421). Which method of using the online component of the textbook is associated with the best results for the students?
The owner of a winery is wondering whether the average purchase made by visitors to her winery differs according to age. She asks the cashiers to keep track of a random sample of purchases by customers in three age groups: under 30, 30-50, over 50. Because there is no good reason to ask a customer
A college wants to compare the annual salaries of graduates of the four different streams of its business diploma program, five years after graduation. The college randomly selects graduates from each of the streams (marketing, accounting, human resources, general business) and, with appropriate
A commuter is trying to figure out the fastest way to drive to work in the morning. She keeps track of the times (in minutes) for three different routes on a random sample of mornings. Her records are shown below in Exhibit 11.7.Do these data meet the required conditions for ANOVA?
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