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Statistics For Business And Economics 8th Edition Paul Newbold, William Carlson, Betty Thorne - Solutions

A random sample of 100 measurements of the resistance of electronic components produced in a period of 1 week was taken. The sample skewness was 0.63 and the sample kurtosis was 3.85. Test the null hypothesis that the population distribution is normal.
A random sample of 125 monthly balances for holders of a particular credit card indicated that the sample skewness was 0.55 and the sample kurtosis was 2.77.Test the null hypothesis that the population distribution is normal.
The U.S. Department of Agriculture (USDA) Center for Nutrition Policy and Promotion (CNPP) uses the Healthy Eating Index to monitor the diet quality of the U.S. population, particularly how well it conforms to dietary guidance. The HEI-2005 measures how well the population follows the
University administrators have collected the following information concerning student grade point average and the school of the student€™s major. Determine if there is any association between GPA and major.
An increasing number of public school districts are utilizing the iPad as a teaching tool. For example, one high school in Long Island recently distributed 47 iPads to the students and teachers in two humanities classes, with expectations that in time all 1,100 students will be provided with iPads
Do business executives have a preference for an airline carrier? The responses from a random sample of 200 business executives were: Delta, 60; United, 50; and Southwest, 48; the remainder selected U.S. Airways. Do the data indicate that executives have an airline preference?
How do customers first hear about a new product? A random sample of 200 users of a new product was surveyed to determine the answer to this question. Other demographic data such as age were also collected. The respondents included 50 people under the age of 21 and 90 people between the ages of 21
Following a presidential debate, people were asked how they might vote in the forthcoming election. Is there any association between one's gender and choice of presidential candidate?
A random sample of 12 financial analysts was asked to predict the percentage increases in the prices of two common stocks over the next year. The results obtained are shown in the table. Use the sign test to test the null hypothesis that for the population of analysts there is no overall preference
An organization offers a program designed to increase the level of comprehension achieved by students when reading technical material quickly. Each member of a random sample of 10 students was given 30 minutes to read an article. A test of the level of comprehension achieved was then administered.
A sample of 11 managers in retail stores having selfcheckout was asked if customers have a positive attitude about the scanning process. Seven managers answered yes, and four answered no. Test against a two-sided alternative the null hypothesis that, for the population of managers, responses would
A sample of 75 corporations buying back franchises was examined. Of these cases, returns on common stock around the buyback announcement date were positive 52 times, negative 15 times, and zero 8 times.Test the null hypothesis that positive and negative returns are equally likely against the
Of a random sample of 130 voters, 44 favored a state tax increase to raise funding for education, 68 opposed the tax increase, and 18 expressed no opinion. Test, against a two-sided alternative, the null hypothesis that voters in the state are evenly divided on the issue of this tax increase.
A random sample of 60 professional economists was asked to predict whether next year's inflation rate would be higher than, lower than, or about the same as that in the current year. The results are shown in the following table. Test the null hypothesis that the profession is evenly divided on the
A random sample of 120 shoppers was asked to compare two new energy drinks. Sixty-five sample members preferred energy drink A, 53 preferred energy drink B, and 2 expressed no preference. Use the normal approximation to determine if there is an overall preference for either energy drink.
A random sample of 10 students was asked to rate, in a blind taste test, the quality of two brands of ice cream, one reduced-sugar and one regular ice cream. Ratings were based on a scale of 1 (poor) to 10 (excellent). The accompanying table gives the results. Use the Wilcoxon test to test the null
An insurance company in Chattanooga, Tennessee, wanted to determine the importance of price as a factor in choosing a hospital in that region. A random sample of 450 consumers was asked to select not important, important, or very important as an answer. Respective numbers selecting these answers
Sixteen freshmen on a college campus were grouped into eight pairs in such a way that the two members of any pair were as similar as possible in academic backgrounds- as measured by high school class rank and achievement test scores-and also in social backgrounds. The major difference within pairs
A random sample of 40 business majors who had just completed introductory courses in both statistics and accounting was asked to rate each class in terms of level of interest on a scale of 1 (very uninteresting) to 10 (very interesting). The 40 differences in the pairs of ratings were calculated
A consultant is interested in the impact of the introduction of a total-quality management program on job satisfaction of employees. A random sample of 30 employees was asked to assess level of satisfaction on a scale from 1 (very dissatisfied) to 10 (very satisfied) three months before the
A random sample of 80 owners of videocassette recorders was taken. Each sample member was asked to assess the amounts of time in a month spent watching material he or she had recorded from television broadcasts and watching purchased or rented commercially recorded tapes. The 80 differences in
A study compared firms with and without an audit committee. For samples of firms of each type, the extent of directors' ownership was measured using the number of shares owned by the board as a proportion of the total number of shares issued. In the sample, directors' ownership was, overall, higher
At the beginning of the year, a stock market analyst produced a list of stocks to buy and another list of stocks to sell. For a random sample of 10 stocks from the buy list, percentage returns over the year were as follows:For an independent random sample of 10 stocks from the sell list, percentage
For a random sample of 12 business graduates from a technical college, the starting salaries accepted for employment on graduation (in thousands of dollars) were the following:For an independent random sample of 10 graduates from a state university, the corresponding figures were as follows:
A corporation interviews both marketing and finance majors for general management positions. A random sample of 10 marketing majors and an independent random sample of 14 finance majors were subjected to intensive interviewing and testing by a team of the corporation's senior managers. The
A random sample of 15 male students and an independent random sample of 15 female students were asked to write essays at the conclusion of a writing course.These essays were then ranked from 1 (best) to 30 (worst) by a professor. The following rankings resulted: Test the null hypothesis that in the
A newsletter rates mutual funds. Independent random samples of 10 funds with the highest rating and 10 funds with the lowest rating were chosen. The following figures are percentage rates of return achieved by these 20 funds in the next year.Test the null hypothesis of no difference between the
Production records indicate that in normal operation for a certain electronic component, 93% have no faults, 5% have one fault, and 2% have more than one fault. For a random sample of 500 of these components from a week's output, 458 were found to have no faults; 30, to have one fault; and 12, to
A random sample of 50 students was asked what salary the college should be prepared to pay to attract the right individual to coach the football team. An independent random sample of 50 faculty members was asked the same question. The 100 salary figures were then pooled and ranked in order (with
Starting salaries of MBA graduates from two leading business schools were compared. Independent random samples of 30 students from each school were taken, and the 60 starting salaries were pooled and ranked. The sum of the ranks for students from one of these schools was 1,243. Test the null
Students in an introductory marketing course were given a written final examination as well as a project to complete as part of their final grade. For a random sample of 10 students, the scores on both the exam and the project are as follows:a. Find the Spearman rank correlation coefficient.b. Test
The accompanying table shows, for a random sample of 20 long-term-growth mutual funds, percentage return over a period of 12 months and total assets (in millions of dollars).a. Calculate the Spearman rank correlation coefficient.b. Carry out a nonparametric test of the null hypothesis of no
A time series contains 16 observations. What is the probability that the number of runsa. Is at most 5? b. Exceeds 12?
A time series contains 10 observations. What is the probability that the number of runs isa. Fewer than 6?b. No less than 4?
A time series contains 50 observations. What is the probability that the number of runs isa. no more than 14?b. fewer than 16?c. greater than 28?
Use the runs test to test for randomness the number of customers shopping at a new mall during a given week. The data are given as: Day Number of CustomersMonday .........525Tuesday .........540Wednesday ..........469Thursday ..........500Friday ...........586Saturday ..........640
The data file Exchange Rate shows an index of the value of the U.S. dollar against trading partners' currencies over 12 consecutive months. Use the runs test to test this series for randomness.
The data file Inventory Sales shows the inventory sales ratio for manufacturing and trade in the United States over a period of 12 years. Test this series for randomness using the runs test.
A charity solicits donations by telephone. It has been found that 60% of all calls result in a refusal to donate; 30% result in a request for more information through the mail, with a promise to at least consider donating; and 10% generate an immediate credit-card donation. For a random sample of
The data file Stock Market Index shows annual returns on a stock market index over 14 years. Test for randomness using the runs test.
RELEVANT Magazine keeps records of traffic (like the number of weekly new visitors) to its Web site from various social networks such as Facebook and Twitter (Butcher 2011). In Example 1.8 we constructed time-series plots of the number of weekly new visitors for the first nine weeks of 2011 from
Suppose that a random sample of firms with impaired assets was classified according to whether discretionary write-downs of these assets were taken, and also according to whether there was evidence of subsequent merger or acquisition activity.Using the data in the accompanying table, test the null
A manufacturer of a certain product has three factories located across the United States. There are three major causes of defects in this product, which we will identify as A, B, and C. During a recent week the reported occurrences of product defects in the three factories were as follows:Based on
The human resources department is attempting to determine if employees' undergraduate majors influence their performance. The majors considered are business, economics, mathematics, and all others. Personnel ratings are grouped as excellent, strong, and average. The classifications are based on
A random sample of people from three different job classifications labeled A, B, and C was asked to indicate preferences for three brands of camping lanterns:Big Star, Lone Star, and Bright Star. The preferences were as follows:Do these data indicate that there is a difference in ratings for the
A liberal arts college was interested in determining if there were different graduate school patterns for students with undergraduate majors in history and economics. The college surveyed a random sample of recent graduates and found that a large number obtained graduate degrees in business, law,
Suppose that you have collected market survey data for gender and product purchase. Perform a chi-square test to determine if there is a different probability of purchase among men and women. Include in your answer the expected cell values under the null hypothesis.
Sally Smith is a long-time political campaign manager from Chicago. In the primary election there are four candidates. She wishes to determine if voter preference is different over the four major districts. A random sample survey results in the candidate preference frequencies by district and is
A manufacturer of household appliances wanted to determine if there was a relationship between family size and the size of washing machine purchased. The manufacturer was preparing guidelines for sales personnel and wanted to know if the sales staff should make specific recommendations to
A campus administrator has found that 60% of all students view courses as very useful, 20%, as somewhat useful, and 20%, as worthless. Of a random sample of 100 students taking business courses, 68 found the course in question very useful, 18, somewhat useful, and 14, worthless. Test the null
The gear-cutting department in a large manufacturing firm produces high-quality gears. The number produced per hour by a single machinist is 1, 2, or 3, as shown in the table. Company management is interested in determining the effect of worker experience on the number of units produced per hour.
Aurica Sabou has been working on a plan for new store locations as part of her regional expansion. In the city proposed for expansion there are three possible locations: north, east, and west. From past experience she knows that the three major profit centers in her stores are tools, lumber, and
The Speedi-Flex delivery service is conducting a study of its delivery operations. As part of this study it collected data on package type by originating source for one day's operation for one district office in the Southeast. These data are shown in the table. The major originating sources were
A travel agent randomly sampled individuals in her target market and asked, Did you use a travel agent to book your last airline flight? By cross-referencing the answers to this question with the responses to the rest of the questionnaire, the agent obtained data such as that in the following
Do you think that the government should bail out the automobile industry? Suppose that this question was asked in a recent survey of 460 Americans. Respondents were also asked to select the category corresponding to their age (younger than 30; 30 to 50; or older than 50). It was found that 120
A random sample of companies was surveyed and asked to indicate if they had used an Internet career service site to search for prospective employees. The companies were also asked questions concerning the posting fee for use of such a site. Is there a relationship between use of such a site and
Suppose that a random sample of businesses that relocated in Florida within the last 3 years is surveyed. Do the data in the following contingency table show any relationship between the primary reason for the company's move to Florida and the industry type?
Should large retailers offer banking services? Small community banks may be concerned about their future if more retailers enter the world of banking.Suppose that a market research company conducted a national survey for one retailer that is considering offering banking services to its customers.
Many easy-weight-loss products are just gimmicks that attract people with the hope of a fast way to a slimmer body. Suppose that a random sample of residents in one community was asked if they had ever tried a quick weight loss product. They were also asked if they thought that there should be
Downsizing is one method companies may use in an attempt to reduce costs. Suppose that the following contingency table shows the number of layoffs in three manufacturing plants during the last 4 months and the length of service (in months) by those employees that were laid off. Is there any
Several types of yogurt are sold in a small general store in New England. From a past study of customer selections, the owner knows that 20% of the customers ordered flavor A, 35%, flavor B, 18%, flavor C, 12%, flavor D, and the remainder, flavor E. Now the owner, who thinks that the customer
Two years ago the manager of a local supermarket that sells three national brands (brands A, B, and C) and one store brand (brand D) of orange juice found that brands A and C were equally preferred, 33% preferred brand B, and 27% preferred the store brand, D. Now, the manager thinks that there has
In Example 14.2 a random sample of 200 people was asked to indicate candy bar preference. Suppose that we also gathered demographic data such as gender. From the 50 who preferred Mr. Goodbar, it was found that 20% were female; from the 93 who preferred Hershey's Milk Chocolate, 70 were female; from
What does it mean to say that a test is nonparametric? What are the relative advantages of such tests?
In a random sample of 12 analysts, 7 believed that automobile sales in the United States were likely to be significantly higher next year than in the present year, 2 believed that sales would be significantly lower, and the others anticipated that next year's sales would be roughly the same as
In a random sample of 16 exchange rate analysts, 8 believed that the Japanese yen would be an excellent investment this year, 5 believed that it would be a poor investment, and 3 had no strong opinion on the question. What conclusions can be drawn from these data?
Of a random sample of 100 college students, 35 expected to achieve a higher standard of living than their parents, 43 expected a lower standard of living, and 22 expected about the same standard of living as their parents. Do these data present strong evidence that, for the population of students,
Of a random sample of 120 business school professors, 48 believed students' analytical skills had improved over the last decade, 35 believed these skills had deteriorated, and 37 saw no discernible change. Evaluate the strength of the sample evidence suggesting that, for all business school
A random sample of 10 corporate analysts was asked to rate, on a scale from 1 (very poor) to 10 (very high), the prospects for their own corporations and for the economy at large in the current year. The results obtained are shown in the accompanying table. Using the Wilcoxon signed rank test,
Nine pairs of hypothetical profiles were constructed for corporate employees applying for admission to an executive MBA program. Within each pair, these profiles were identical, except that one candidate was male and the other female. For interviews for employment of these graduates, evaluations on
Suppose that a random sample of 513 individuals were randomly sampled and information was collected about the method a subject used to make an airline reservation (last reservation for either business or pleasure) and the subject's gender. Test the null hypothesis of no association between these
In a recent market survey, five different soft drinks were tested to determine if consumers have a preference for any of the soft drinks. Each person was asked to indicate her favorite drink. The results were as follows: drink A, 20; drink B, 25; drink C, 28; drink D, 15; and drink E, 27. Is there
A team of marketing research students was asked to determine the pizza best liked by students enrolled in the team's college. Two years ago a similar study was conducted, and it was found that 40% of all students at this college preferred Bellini's pizza, 25% chose Anthony's pizza as the best, 20%
Given the following analysis of variance table, compute mean squares for between groups and within groups. Compute the F ratio and test the hypothesis that the group means are equal.
Independent random samples of six assistant professors, four associate professors, and five full professors were asked to estimate the amount of time outside the classroom spent on teaching responsibilities in the last week. Results, in hours, are shown in the accompanying table.a. Prepare the
Two tutoring services offer crash courses in preparation for the CPA exam. To check on the effectiveness of these services, 15 students were chosen. Five students were randomly assigned to service A, 5 were assigned to service B, and the remaining 5 did not take a crash course. Their scores on the
In the study of Example 15.1, independent random samples of six advertisements from True Confessions, People Weekly, and Newsweek were taken. The fog indices for these advertisements are given in the accompanying table. Test the null hypothesis that the population mean fog indices are the same for
For the one-way analysis of variance model, we write the jth observation from the ith group asXij = µ + Gi + eijwhere m is the overall mean, Gi is the effect specific to the ith group, and eij is a random error for the jth observation from the ith group. Consider the data of Example 15.1.a.
Use the model for the one-way analysis of variance for the data of Exercise 15.12.a. Estimate µb. Estimate Gi for each of the three magazines.c. Estimate e13, the error term corresponding to the third observation (11.15) for True confessions.
Consider a problem with three subgroups with the sum of ranks in each of the subgroups equal to 45, 98, and 88 and with subgroup sizes equal to 6, 6, and 7. Complete the Kruskal@Wallis test and test the null hypothesis of equal subgroup ranks.
Consider a problem with four subgroups with the sum of ranks in each of the subgroups equal to 49, 84, 76, and 81 and with subgroup sizes equal to 4, 6, 7, and 6. Complete the Kruskal-Wallis test and test the null hypothesis of equal subgroup ranks.
Consider a problem with four subgroups with the sum of ranks in each of the subgroups equal to 71, 88, 82, and 79 and with subgroup sizes equal to 5, 6, 6, and 7. Complete the Kruskal-Wallis test and test the null hypothesis of equal subgroup ranks.
For the data of Exercise 15.4, use the Kruskal-Wallis test of the null hypothesis that the population mean sales levels are identical for three box colors.
Using the data of Exercise 15.5, perform a Kruskal Wallis test of the null hypothesis that the population mean test scores are the same for students assigned to the four teaching assistants.In exercise
Given the following analysis of variance table, compute mean squares for between groups and within groups. Compute the F ratio and test the hypothesis that the group means are equal.
Using the data of Exercise 15.6, carry out a test of the null hypothesis of equality of the three population mean numbers of parts per shipment not conforming to standards without assuming normality of population distributions.In exercise
For the data of Exercise 15.7, test the null hypothesis that the population mean operating costs per mile are the same for all three types of automobiles without assuming normal population distributions.In exercise
Using the data of Exercise 15.8, carry out a nonparametric test of the null hypothesis of equality of population mean examination scores for freshmen, sophomores, and juniors.
Based on the data of Exercise 15.9, use the Kruskal Wallis method to test the null hypothesis of equality of growth predictions for population mean sales for the four regions.In exercise
Refer to Exercise 15.10. Without assuming normal population distributions, test the null hypothesis that the population mean times spent outside the classroom on teaching responsibilities are the same for assistant, associate, and full professors.In exercise
Based on the data of Exercise 15.11, perform the Kruskal Wallis test of the null hypothesis of equal population mean scores on the CPA exam for students using no tutoring services and using services A and B.In exercise
Independent random samples of 101 college sophomores, 112 college juniors, and 96 college seniors were asked to rate, on a scale of 1 to 7, the importance attached to brand name when purchasing a car. The obtained value of the Kruskal-Wallis statistic was 0.15.a. What null hypothesis can be tested
Consider a two-way analysis of variance with one observation per cell and randomized blocks with the following results:Compute the mean squares and test the hypotheses that between-group means are equal and betweenblock means are equal.
Consider a two-way analysis of variance with one observation per cell and randomized blocks with the following results:Compute the mean squares and test the hypotheses that between-group means are equal and betweenblock means are equal.
Consider a two-way analysis of variance with one observation per cell and randomized blocks with the following results:Compute the mean squares and test the hypotheses that between-group means are equal and betweenblock means are equal.
Given the following analysis of variance table, compute mean squares for between groups and within groups. Compute the F ratio and test the hypothesis that the group means are equal.
Four financial analysts were asked to predict earnings growth over the coming year for five oil companies. Their forecasts, as projected percentage increases in earnings, are given in the accompanying table.a. Prepare the two-way analysis of variance table.b. Test the null hypothesis that the
An agricultural experiment designed to assess differences in yields of corn for four different varieties, using three different fertilizers, produced the results (in bushels per acre) shown in the following table:a. Prepare the two-way analysis of variance table.b. Test the null hypothesis that the
A company has test-marketed three new types of soup in selected stores over a period of 1 year. The following table records sales achieved (in thousands of dollars) for each of the three soups in each quarter of the year.a. Prepare the two-way analysis of variance table.b. Test the null hypothesis
A diet soda manufacturer wants to compare the effects on sales of three can colors-red, yellow, and blue. Four regions are selected for the test, and three stores are randomly chosen from each region, each to display one color of cans. The accompanying table shows sales (in tens of cans) at the end

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