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mathematics
statistics
Business Statistics for Contemporary Decision Making 6th Edition Ken Black - Solutions
Use the following data to construct a 99% confidence interval to estimate p1 –p2.
Test the following hypotheses by using the given data.Let alpha =.05
Suppose a large insurance company wants to estimate the difference between the average amount of term life insurance purchased per family and the average amount of whole life insurance purchased per family. To obtain an estimate, one of the company's actuaries randomly selects 27 families who have
A study is conducted to estimate the average difference in bus ridership for a large city during the morning and afternoon rush hours. The transit authority's researcher randomly selects nine buses because of the variety of routes they represent. On a given day the number of riders on each bus is
There are several methods used by people to organize their lives in terms of keeping track of appointments, meetings, and deadlines. Some of these include using a desk calendar, using informal notes of scrap paper, keeping them "in your head," using a day planner, and keeping a formal "to do" list.
A study was conducted to compare the salaries of accounting clerks and data entry operators. One of the hypotheses to be tested is that the variability of salaries among accounting clerks is the same as the variability of salaries of data entry operators. To test this hypothesis, a random sample of
A study was conducted to develop a scale to measure stress in the workplace. Respondents were asked to rate 26 distinct work events. Each event was to be compared with the stress of the first week on the job, which was awarded an arbitrary score of 500. Sixty professional men and 41 professional
A national grocery store chain wants to test the difference in the average weight of turkeys sold in Detroit and the average weight of turkeys sold in Charlotte. According to the chain's researcher, a random sample of 20 turkeys sold at the chain's stores in Detroit yielded a sample mean of 17.53
A tree nursery has been experimenting with fertilizer to increase the growth of seedlings. A sample of 35 two-year old pine trees are grown for three more years with a cake of fertilizer buried in the soil near the trees' roots. A second sample of 35 two-year-old pine trees are grown for three more
One of the most important aspects of a store's image is the perceived quality of its merchandise. Other factors include merchandise pricing, assortment of products, convenience of location, and service. Suppose image perceptions of shoppers of specialty stores and shoppers of discount stores are
Is there more variation in the output of one shift in a manufacturing plant than in another shift? In an effort to study this question, plant managers gathered productivity reports from the 8 A.M. to 4 P.M. shift for eight days.The reports indicated that the following numbers of units were produced
What is the average difference between the price of name-brand soup and the price of store-brand soup? To obtain an estimate, an analyst randomly samples eight stores. Each store sells its own brand and a national name brand. The prices of a can of name-brand tomato soup and a can of the
As the prices of heating oil and natural gas increase, consumers become more careful about heating their homes. Researchers want to know how warm homeowners keep their houses in January and how the results from Wisconsin and Tennessee compare. The researchers randomly call 23 Wisconsin households
In manufacturing, does worker productivity drop on Friday? In an effort to determine whether it does, a company's personnel analyst randomly selects from a manufacturing plant five workers who make the same part. He measures their output on Wednesday and again on Friday and obtains the following
A manufacturer uses two machines to drill holes in pieces of sheet metal used in engine construction. The workers who attach the sheet metal to the engine become inspectors in that they reject sheets so poorly drilled that they cannot be attached. The production manager is interested in knowing
Is there a difference in the proportion of construction workers who are under 35 years of age and the proportion of telephone repair people who are under 35 years of age? Suppose a study is conducted in Calgary, Alberta, using random samples of 338 construction workers and 281 telephone repair
Executives often spend so many hours in meetings that they have relatively little time to manage their individual areas of operation.What is the difference in mean time spent in meetings by executives of the aerospace industry and executives of the automobile industry? Suppose random samples of 33
Various types of retail outlets sell toys during the holiday season. Among them are specialty toy stores, large discount toy stores, and other retailers that carry toys as only one part of their stock of goods. Is there any difference in the dollar amount of a customer purchase between a large
One of the new thrusts of quality control management is to examine the process by which a product is produced. This approach also applies to paperwork. In industries where large long-term projects are undertaken, days and even weeks may elapse as a change order makes its way through a maze of
For the two large newspapers in your city, you are interested in knowing whether there is a significant difference in the average number of pages in each dedicated solely to advertising. You randomly select 10 editions of newspaper A and 6 editions of newspaper B (excluding weekend editions). The
A study by Colliers International presented the highest and the lowest global rental rates per year per square foot of office space. Among the cities with the lowest rates were Perth, Australia; Edmonton, Alberta, Canada; and Calgary, Alberta, Canada with rates of $8.81, $9.55, and $9.69,
Why do employees "blow the whistle"on other employees for unethical or illegal behavior? One study conducted by the AICPA reported the likelihood that employees would blow the whistle on another employee for such things as unsafe working conditions, unsafe products, and poorly managed operations.
A large manufacturing company produces computer printers that are distributed and sold all over the United States. Due to lack of industry information, the company has a difficult time ascertaining its market share in different parts of the country. They hire a market research firm to estimate
A manufacturing company produces plastic pipes that are specified to be 10 inches long and 1/8 inch thick with an opening of 3/4 inch. These pipes are molded on two different machines. To maintain consistency, the company periodically randomly selects pipes for testing. In one specific test, pipes
In 1950, J. R. Clarkson founded a family-owned industrial valve design and manufacturing company in Sparks, Nevada. For almost a half century, the company, known as the Clarkson Company, worked on advancing metal and mineral processing. The Clarkson Company became known for its knife-gate and
Some New York Stock Exchange analysts believe that 24-hour trading on the stock exchange is the wave of the future. As an initial test of this idea, the New York Stock Exchange opened two after-hour "crossing sections" in the early 1990s and studied the results of these extra-hour sessions for one
Southwest Airlines is able to keep fares low, in part because of relatively low maintenance costs on its airplanes. One of the main reasons for the low maintenance costs is that Southwest flies only one type of aircraft, the Boeing 737. However, Southwest flies three different versions of the 737.
A large multinational banking company wants to determine whether there is a significant difference in the average dollar amounts purchased by users of different types of credit cards. Among the credit cards being studied are MasterCard, Visa, Discover, and American Express.a. If an experimental
Is there a difference in the family demographics of people who stay at motels? Suppose a study is conducted in which three categories of motels are used: economy motels, modestly priced chain motels, and exclusive motels. One of the dependent variables studied might be the number of children in the
Compute a one-way ANOVA on the following data.Determine the observed F value. Compare the observed F value with the critical table F value and decide whether to reject the null hypothesis. Use α=.05.
Compute a one-way ANOVA on the following data.Determine the observed F value. Compare the observed F value with the critical table F value and decide whether to reject the null hypothesis. Use ( =.01.
Develop a one-way ANOVA on the following data.Determine the observed F value. Compare it to the critical F value and decide whether to reject the null hypothesis. Use a 1% level ofsignificance.
Compute a one-way ANOVA on the following data.1 227 .........2231 .........2731 .........2529 .........2330 .........2627 .........2728 .........23Determine the observed F value. Compare it to the critical table F value and decide whether to reject the null hypothesis. Perform at test for
Suppose you are using a completely randomized design to study some phenomenon. There are five treatment levels and a total of 55 people in the study. Each treatment level has the same sample size. Complete the followingANOVA.
Suppose you are using a completely randomized design to study some phenomenon. There are three treatment levels and a total of 17 people in the study. Complete the following ANOVA table. Use α = .05 to find the table F value and use the data to test the null hypothesis.
A milk company has four machines that fill gallon jugs with milk. The quality control manager is interested in determining whether the average fill for these machines is the same. The following data represent random samples of fill measures (in quarts) for 19 jugs of milk filled by the different
That the starting salaries of new accounting graduates would differ according to geographic regions of the United States seems logical. A random selection of accounting firms is taken from three geographic regions, and each is asked to state the starting salary for a new accounting graduate who is
A management consulting company presents a three-day seminar on project management to various clients. The seminar is basically the same each time it is given. However, sometimes it is presented to high-level managers, sometimes to midlevel managers, and sometimes to low-level managers. The seminar
Family transportation costs are usually higher than most people believe because those costs include car payments, insurance, fuel costs, repairs, parking, and public transportation. Twenty randomly selected families in four major cities are asked to use their records to estimate a monthly figure
Shown here is the Minitab output for a one-way ANOVA. Analyze the results. Include the number of treatment levels, the sample sizes, the F value, the overall statistical significance of the test, and the values of the means.One-Way Analysis of VarianceAnalysis of VarianceIndividual 95% CIs For Mean
Business is very good for a chemical company. In fact, it is so good that workers are averaging more than 40 hours per week at each of the chemical company€™s five plants. However, management is not certain whether there is a difference between the five plants in the average number of
Suppose an ANOVA has been performed on a completely randomized design containing six treatment levels. The mean for group 3 is 15.85, and the sample size for group 3 is eight. The mean for group 6 is 17.21, and the sample size for group 6 is seven. MSE is .3352. The total number of observations is
A completely randomized design has been analyzed by using a one-way ANOVA. There are four treatment groups in the design, and each sample size is six. MSE is equal to 2.389. Using α = .05, compute Tukey's HSD for this ANOVA.
Using the results of problem, compute a critical value by using the Tukey-Kramer procedure for groups 1 and 2. Use α = .05. Determine whether there is a significant difference between these two groups.In problem11.5
Use the Tukey-Kramer procedure to determine whether there is a significant difference between the means of groups 2 and 5 in problem 11.6. Let α = .01.Compute a one-way ANOVA on the following data.In Problem11.6
Using the results from problem 11.7, compute a Tukey's HSD to determine whether there are any significant differences between group means. Let α = .01.In problem11.7
Using problem 11.8, compute Tukey's HSD and determine whether there is a significant difference in means by using this methodology. Let α = .05.In problem 11.8,1 227 .........2231 .........2731 .........2529 .........2330 .........2627 .........2728 .........23
Use the Tukey-Kramer procedure to do multiple comparisons for problem 11.11. Let State which pairs of machines, if any, produce significantly different mean fills.In problem11.11
Use Tukey's HSD test to compute multiple comparisons for the data in problem 11.12. Let α = .01. State which regions, if any, are significantly different from other regions in mean starting salary figures?In problem11.12
Using α = .05, compute critical values using the Tukey-Kramer procedure for the pairwise groups in problem 11.13.Determine which pairs of groups are significantly different, ifany.
Do multiple comparisons on the data in problem 11.14 using Tukey's HSD test and α = .05. State which pairs of cities, if any, have significantly different mean costs.In Problem11.14
Problem 11.16 analyzed the number of weekly hours worked per person at five different plants. An F value of 3.10 was obtained with a probability of .0266. Because the probability is less than .05, the null hypothesis is rejected at α = .05. There is an overall difference in the mean
Use ANOVA to analyze the data from the randomized block design given here. Let α = .05 .State the null and alternative hypotheses and determine whether the null hypothesis isrejected.
The following data were gathered from a randomized block design. Use α = .01 to test for a significant difference in the treatment levels. Establish the hypotheses and reach a conclusion about the nullhypothesis.
A randomized block design has a treatment variable with six levels and a blocking variable with 10 blocks. Using this information and α = .05, complete the following table and reach a conclusion about the nullhypothesis.
A randomized block design has a treatment variable with four levels and a blocking variable with seven blocks. Using this information and α = .01, complete the following table and reach a conclusion about the null hypothesis.
Safety in motels and hotels is a growing concern among travelers. Suppose a survey was conducted by the National Motel and Hotel Association to determine U.S. travelers' perception of safety in various motel chains. The association chose four different national chains from the economy lodging
In recent years, the debate over the U.S. economy has been constant. The electorate seems somewhat divided as to whether the economy is in a recovery or not. Suppose a survey was undertaken to ascertain whether the perception of economic recovery differs according to political affiliation. People
As part of a manufacturing process, a plastic container is supposed to be filled with 46 ounces of saltwater solution. The plant has three machines that fill the containers. Managers are concerned that the machines might not be filling the containers with the same amount of saltwater solution, so
The comptroller of a company is interested in determining whether the average length of long-distance calls by managers varies according to type of telephone. A randomized block design experiment is set up in which a long-distance call by each of five managers is sampled for four different types of
Describe the following factorial design. How many independent and dependent variables are there? How many levels are there for each treatment? If the data were known, could interaction be determined from this design? Compute all degrees of freedom.Each data value is represented by anx.
Describe the following factorial design. How many independent and dependent variables are there? How many levels are there for each treatment? If the data were known, could interaction be determined from this design? Compute all degrees of freedom. Each data value is represented by anx.
Complete the following two-way ANOVA table. Determine the critical table F values and reach conclusions about the hypotheses for effects. Let α =.05.
Complete the following two-way ANOVA table. Determine the critical table F values and reach conclusions about the hypotheses for effects. Let α =.05.
The data gathered from a two-way factorial design follow. Use the two-way ANOVA to analyze these data. Let α =.01.
Suppose the following data have been gathered from a study with a two-way factorial design. Use α = .05 and a two-way ANOVA to analyze the data. State yourconclusions.
Children are generally believed to have considerable influence over their parents in the purchase of certain items, particularly food and beverage items. To study this notion further, a study is conducted in which parents are asked to report how many food and beverage items purchased by the family
A shoe retailer conducted a study to determine whether there is a difference in the number of pairs of shoes sold per day by stores according to the number of competitors within a 1-mile radius and the location of the store. The company researchers selected three types of stores for consideration
Study the following analysis of variance table that was produced by using Minitab. Describe the design (number of treatments, sample sizes, etc.). Are there any significant effects?Discuss theoutput.
Consider the valve opening data displayed in Table 11.1. Suppose the data represent valves produced on four different machines on three different shifts and that the quality controllers want to know whether there is any difference in the mean measurements of valve openings by shift or by machine.
Finish the computations in the Minitab ANOVA table shown below and on the next page and determine the critical table F values. Interpret the analysis. Examine the associated Minitab graph and interpret the results.Discuss this problem, including the structure of the design, the sample sizes, and
Compute a one-way ANOVA on the following data. Us α = .05. If there is a significant difference in treatment levels, use Tukey’s HSD to compute multiple comparisons. Let α = .05 for the multiplecomparisons.
Complete the following ANOVAtable.
You are asked to analyze a completely randomized design that has six treatment levels and a total of 42 measurements. Complete the following table, which contains some information from thestudy.
Compute a one-way ANOVA of the following data. Let α = .01. Use the Tukey-Kramer procedure to conduct multiple comparisons for themeans.
Examine the structure of the following experimental design. Determine which of the three designs presented in the chapter would be most likely to characterize this structure. Discuss the variables and the levels of variables.Determine the degrees offreedom.
Complete the following ANOVA table and determine whether there is any significance in treatment effects.Let α =.05.
Analyze the following data, gathered from a randomized block design using α = .05. If there is a significant difference in the treatment effects, use Tukey’s HSD test to do multiplecomparisons.
A two-way ANOVA has been computed on a factorial design. Treatment 1 has five levels and treatment 2 has two levels. Each cell contains four measures. Complete the following ANOVA table. Use α = .05 to test to determine significance of the effects. Comment on yourfindings.
Compute a two-way ANOVA on the following data (α =.01).
A company conducted a consumer research project to ascertain customer service ratings from its customers. The customers were asked to rate the company on a scale from 1 to 7 on various quality characteristics. One question was the promptness of company response to a repair problem. The following
A major automobile manufacturer wants to know whether there is any difference in the average mileage of four different brands of tires (A, B, C, and D), because the manufacturer is trying to select the best supplier in terms of tire durability. The manufacturer selects comparable levels of tires
Agricultural researchers are studying three different ways of planting peanuts to determine whether significantly different levels of production yield will result. The researchers have access to a large peanut farm on which to conduct their tests. They identify six blocks of land. In each block of
The Construction Labor Research Council lists a number of construction labor jobs that seem to pay approximately the same wages per hour. Some of these are bricklaying, iron working, and crane operation. Suppose a labor researcher takes a random sample of workers from each of these types of
Why are mergers attractive to CEOs? One of the reasons might be a potential increase in market share that can come with the pooling of company markets. Suppose a random survey of CEOs is taken, and they are asked to respond on a scale from 1 to 5 (5 representing strongly agree) whether increase in
Are some unskilled office jobs viewed as having more status than others? Suppose a study is conducted in which eight unskilled, unemployed people are interviewed. The people are asked to rate each of five positions on a scale from 1 to 10 to indicate the status of the position, with 10 denoting
Analyze the following Minitab output. Describe the design of the experiment. Using α = .05 determine whether there are any significant effects; if so, explain why. Discuss any other ramifications of theoutput.
Following is Excel output for an ANOVA problem. Describe the experimental design. The given value of alpha was .05. Discuss the output in terms of significant findings.ANOVA: Two-Factor WithoutReplication
Study the following Minitab output and graph. Discuss the meaning of theoutput.
Interpret the following Excel output. Discuss the structure of the experimental design and any significant effects. Alpha is .05.ANOVA: Two-Factor WithReplication
Study the following Minitab output. Determine whether there are any significant effects and discuss the results. What kind of design was used and what was the size ofit?
Discuss the following Minitaboutput.
The Delta Wire Corporation was founded in 1978 in Clarksdale, Mississippi. The company manufactures high-carbon specialty steel wire for global markets and at present employs about 100 people. For the past few years, sales increased each year. A few years ago, however, things did not look as bright
Determine the value of the coefficient of correlation, r, for the followingdata.
Determine the value of r for the followingdata.
In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of activity of the stock market. Using the following prices of Delta stock and Southwest stock, compute the coefficient of correlation. Stock prices have been rounded off to
The following data are the claims (in $ millions) for BlueCross BlueShield benefits for nine states, along with the surplus (in $ millions) that the company had in assets in those states.Use the data to compute a correlation coefficient, r, to determine the correlation between claims andsurplus.
The National Safety Council released the following data on the incidence rates for fatal or lost-worktime injuries per 100 employees for several industries in three recent years.Compute r for each pair of years and determine which years are most highlycorrelated.
Sketch a scatter plot from the following data, and determine the equation of the regressionline.
Sketch a scatter plot from the following data, and determine the equation of the regressionline.
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