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statistics

Basic Business Statistics Concepts And Applications 12th Edition Mark L. Berenson, David M. Levine, Timothy C. Krehbiel - Solutions

Assume that you have a sample of n1 = 8, with the sample mean 1 = 42, and a sample standard deviation S1 = 4, and you have an independent sample of n2 = 15 from another population with a sample mean of 2 = 34 and a sample standard deviation S2 = 5.a. What is the value of the pooled-variance tSTAT
Nine experts rated two brands of Colombian coffee in a taste-testing experiment. A rating on a 7- point scale (1 = extremely unpleasing, 7 = extremely pleasing) is given for each of four characteristics: taste, aroma, richness, and acidity. The following data (stored in Coffee) display the ratings
In industrial settings, alternative methods often exist for measuring variables of interest. The data in Measurement (coded to maintain confidentiality) represent measurements in-line that were collected from an analyzer during the production process and from an analytical lab. (Data extracted from
Is there a difference in the prices at a warehouse club such as Costco and store brands? To investigate this, a random sample of 10 purchases was selected, and the prices were compared. (Data extracted from "Shop Smart and Save Big," Consumer Reports, May 2009, p. 17.) The prices for the products
In tough economic times, the business staff at magazines are challenged to sell advertising space in their publications. Thus, one indicator of a weak economy is the decline in the number of "ad pages" that magazines have sold. The file Ad Pages contains the number of ad pages found in the May 2008
Multiple myeloma, or blood plasma cancer, is characterized by increased blood vessel formulation (angiogenesis) in the bone marrow that is a predictive factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient's own stem cells. The following
Over the past year, the vice president for human resources at a large medical center has run a series of threemonth workshops aimed at increasing worker motivation and performance. To check the effectiveness of the workshops, she selected a random sample of 35 employees from the personnel files.
The data in represent the compressive strength, in thousands of pounds per square inch (psi), of 40 samples of concrete taken two and seven days after pouring.a. At the 0.01 level of significance, is there evidence that the mean strength is lower at two days than at seven days?b. What assumption is
Let n1 = 100, X1 =50, n2 = 100, and X2 = 30.a. At the 0.05 level of significance, is there evidence of a significant difference between the two population proportions?b. Construct a 95% confidence interval estimate for the difference between the two population proportions.
Let n1 = 100, X1 = 45, n2 = 50, and X2 = 25.a. At the 0.01 level of significance, is there evidence of a significant difference between the two population proportions?b. Construct a 99% confidence interval estimate for the difference between the two population proportions.
A survey of 500 shoppers was taken in a large metropolitan area to determine various information about consumer behavior. Among the questions asked was, "Do you enjoy shopping for clothing?" Of 240 males, 136 answered yes. Of 260 females, 224 answered yes.a. Is there evidence of a significant
Does it take more effort to be removed from an email list than it used to? A study of 100 large online retailers revealed the following:a. Set up the null and alternative hypotheses to try to determine whether it takes more effort to be removed from an email list than it used to.b. Conduct the
Some people enjoy the anticipation of an upcoming product or event and prefer to pay in advance and delay the actual consumption/delivery date. In other cases, people do not want a delay. An article in the Journal of Marketing Research reported on an experiment in which 50 individuals were told
Do people of different age groups differ in their beliefs about response time to email messages? A survey by the Center for the Digital Future of the University of Southern California reported that 70.7% of users over 70 years of age believe that email messages should be answered quickly as
A survey was conducted of 665 consumer magazines on the practices of their websites. Of these, 273 magazines reported that online-only content is copy-edited as rigorously as print content; 379 reported that online-only content is fact-checked as rigorously as print content. (Data extracted from S.
How do Americans feel about ads on websites? A survey of 1,000 adult Internet users found that 670 opposed ads on websites. (Data extracted from S. Clifford, "Tacked for Ads? Many Americans Say No Thanks," The NewYork Times, September 30, 2009, p. B3.). Suppose that a survey of 1,000 Internet users
Where people turn for news is different for various age groups. (Data extracted from "Cellphone Users Who Access News on Their Phones," USA Today, March 1, 2010, p. 1A.) A study was conducted on the use of cell phones for accessing news. The study reported that 47% of users under age 50 and 15% of
Determine the upper-tail critical values of F in each of the following two-tail tests.a. α = 0.10, n1 = 16, n2 = 21b. α = 0.05, n1 = 16, n2 = 21c. α = 0.01, n1 = 16, n2 = 21
The following information is available for two samples selected from independent normally distributed populations:a. Which sample variance do you place in the numerator of FSTAT?b. What is the value of FSTAT?
Referring to Problem 10.2, construct a 95% confidence interval estimate of the population mean difference between μ1 and μ2. In problem Assume that you have a sample of n1 = 8, with the sample mean 1 = 42, and a sample standard deviation S1 = 4, and you have an independent sample of n2 = 15 from
The following information is available for two samples selected from independent but very right-skewed populations:Should you use the F test to test the null hypothesis of equality of variances? Discuss.
In Problem 10.43, assume that two samples are selected from independent normally distributed populations.a. At the 0.05 level of significance, is there evidence of a difference between σ21 and σ22?b. Suppose that you want to perform a one-tail test. At the 0.05 level of significance, what is the
Shipments of meat, meat by-products, and other ingredients are mixed together in several filling lines at a pet food canning factory. Operations managers suspect that, although the mean amount filled per can of pet food is usually stable, the variability of the cans filled in line A is greater than
The Computer Anxiety Rating Scale (CARS) measures an individual's level of computer anxiety, on a scale from 20 (no anxiety) to 100 (highest level of anxiety). Researchers at Miami University administered CARS to 172 business students. One of the objectives of the study was to determine whether
A bank with a branch located in a commercial district of a city has the business objective of improving the process for serving customers during the noon-to-1 P.M. lunch period. To do so, the waiting time (defined as the time elapsed from when the customer enters the line until he or she reaches
An important feature of digital cameras is battery life, the number of shots that can be taken before the battery needs to be recharged. The file DigitanlCameras contains battery life information for 29 subcompact cameras and 16 compact cameras. (Data extracted from "Digital Cameras," Consumer
Do young children use cell phones? Apparently so, according to a recent study (A. Ross, "Message to Santa; KidsWant a Phone," Palm Beach Post, December 16, 2008, pp. 1A, 4A), which stated that cell phone users under 12 years of age averaged 137 calls per month as compared to 231 calls per month for
Is there a difference in the variation of the yield of five-year CDs at different times? The file contains the yields for a five-year certificate of deposit (CD) for 25 banks in the United States, as of March 29, 2010 and August 23, 2010. (Data extracted from www.Bankrate.com, March 29, 2010 and
What are some of the criteria used in the selection of a particular hypothesis-testing procedure?
What is the distinction between two independent populations and two related populations? Discuss.
When you have two independent populations, explain the similarities and differences between the test of hypothesis for the difference between the means and the confidence interval estimate for the difference between the means. Discuss.
The per-store daily customer count (i.e., the mean number of customers in a store in one day) for a nationwide convenience store chain that operates nearly 10,000 stores has been steady, at 900, for some time. To increase the customer count, the chain is considering cutting prices for coffee
A study conducted in March 2009 found that about half of U.S. adults trusted the U.S. government more than U.S. business to solve the economic problems of the United States. However, when the population is subdivided by political party affiliation, the results are very different. The study showed
Referring to Problem 10.2, if n1 = 5 and n2 = 4, at the 0.01 level of significance, is there evidence that μ1 > μ2?In problemAssume that you have a sample of n1 = 8, with the sample mean 1 = 42, and a sample standard deviation S1 = 4, and you have an independent sample of n2 = 15 from another
The American Society for Quality (ASQ) conducted a salary survey of all its members. ASQ members work in all areas of manufacturing and service-related institutions, with a common theme of an interest in quality. Two job titles are black belt and green belt. (See Section 17.8, for a description of
Do male and female students study the same amount per week? In 2007, 58 sophomore business students were surveyed at a large university that has more than 1,000 sophomore business students each year. The file StudyTime contains the gender and the number of hours spent studying in a typical week for
Two professors wanted to study how students from their two universities compared in their capabilities of using Excel spreadsheets in undergraduate information systems courses. (Data extracted from H. Howe and M. G. Simkin, "Factors Affecting the Ability to Detect Spreadsheet Errors," Decision
The file Restaurants contains the ratings for food, décor, service, and the price per person for a sample of 50 restaurants located in a city and 50 restaurants located in a suburb. Completely analyze the differences between city and suburban restaurants for the variables food rating, décor
A computer information systems professor is interested in studying the amount of time it takes students enrolled in the introduction to computers course to write and run a program in Visual Basic. The professor hires you to analyze the following results (in minutes) from a random sample of nine
An article (A. Jennings, "What's Good for a Business Can Be Hard on Friends," The NewYork Times, August 4, 2007, pp. C1-C2) reported that according to a poll, the mean number of cell phone calls per month was 290 for 18- to 24-year-olds and 194 for 45- to 54-year-olds, whereas the mean number of
The lengths of life (in hours) of a sample of 40 100- watt light bulbs produced by manufacturer A and a sample of 40 100-watt light bulbs produced by manufacturer B are stored in Bulbs. Completely analyze the differences between the lengths of life of the bulbs produced by the two manufacturers.
A hotel manager looks to enhance the initial impressions that hotel guests have when they check in. Contributing to initial impressions is the time it takes to deliver a guest's luggage to the room after check-in. A random sample of 20 deliveries on a particular day were selected in Wing A of the
According to Census estimates, there are about 20 million children between 8 and 12 years old (referred to as tweens) in the United States in 2009. A recent survey of 1,223 8- to 12-year-old children (S. Jayson, "It's Cooler Than Ever to Be a Tween," USA Today, February 4, 2009, pp. 1A, 2A)
The manufacturer of Boston and Vermont asphalt shingles knows that product weight is a major factor in the customer's perception of quality. Moreover, the weight represents the amount of raw materials being used and is therefore very important to the company from a cost standpoint. The last stage
According to a recent study, when shopping online for luxury goods, men spend a mean of $2,401, whereas women spend a mean of $1,527. (Data extracted from R. A. Smith, "Fashion Online: Retailers Tackle the Gender Gap," TheWall Street Journal, March 13, 2008, pp. D1, D10.) Suppose that the study was
The manufacturer of Boston and Vermont asphalt shingles provides its customers with a 20-year warranty on most of its products. To determine whether a shingle will last as long as the warranty period, the manufacturer conducts accelerated-life testing. Accelerated-life testing exposes the shingle
There are a tremendous number of mutual funds from which an investor can choose. Each mutual fund has its own mix of different types of investments. The data in BestFunds present the 3-year annualized return, 5-year annualized return, 10-year annualized return, and expense ratio (in %) for the 10
Completely analyze the differences between bond mutual funds without fees and bond mutual funds with fees in terms of 2009 return, three-year return, five-year return, and expense ratio. Write a report summarizing your findings.
Completely analyze the difference between intermediate government bond mutual funds and short-term corporate bond mutual funds in terms of 2009 return, three-year return, five-year return, and expense ratio. Write a report summarizing your findings.
Problem 1.27 on page 14 describes a survey of 62 undergraduate students (stored in UndergradSurvey).a. At the 0.05 level of significance, is there evidence of a difference between males and females in grade point average, expected starting salary, number of social networking sites registered for,
Problem 1.28 on page 15 describes a survey of 44 MBA students (stored in GradSurvey). For these data, at the 0.05 level of significance, is there evidence of a difference between males and females in age, undergraduate grade point average, graduate grade point average, expected salary upon
A recent study ("Snack Ads Spur Children to Eat More," The NewYork Times, July 20, 2009, p. B3) found that children who watched a cartoon with food advertising ate, on average, 28.5 grams of Goldfish crackers as compared to an average of 19.7 grams of Goldfish crackers for children who watched a
A problem with a telephone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telephone company. The file Phone contains samples of 20 problems reported to two different offices of a telephone company and the time to clear these problems (in
An experiment has a single factor with five groups and seven values in each group.i. How many degrees of freedom are there in determining the among-group variation?ii. How many degrees of freedom are there in determining the within-group variation?iii. How many degrees of freedom are there in
A manufacturer of pens has hired an advertising agency to develop an advertising campaign for the upcoming holiday season. To prepare for this project, the research director decides to initiate a study of the effect of advertising on product perception. An experiment is designed to compare five
The per-store daily customer count (i.e., the mean number of customers in a store in one day) for a nationwide convenience store chain that operates nearly 10,000 stores has been steady, at 900, for some time. To increase the customer count, the chain is considering cutting prices for coffee
Integrated circuits are manufactured on silicon wafers through a process that involves a series of steps. An experiment was carried out to study the effect on the yield of using three methods in the cleansing step (coded to maintain confidentiality).The results (stored in Yield-One Way) are as
A pet food company has a business objective of expanding its product line beyond its current kidney- and shrimp-based cat foods. The company developed two new products, one based on chicken livers and the other based on salmon. The company conducted an experiment to compare the two new products
A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using four different designs. Ten balls were manufactured with each design and were brought to the local golf course for the club professional to test. The order in which the balls were hit with
Given a randomized block experiment with five groups and seven blocks, answer the following: a. How many degrees of freedom are there in determining the among-group variation? b. How many degrees of freedom are there in determining the among-block variation? c. How many degrees of freedom are there
From Problem 11.15, if SSA = 60, SSBL = 75, and SST = 210,a. What is SSE?b. What are MSA, MSBL, and MSE?c. What is the value of the FSTAT test statistic for the factor effect?d. What is the value of the FSTAT test statistic for the block effect?
From Problems 11.15 and 11.16,a. Construct the ANOVA summary table and fill in all values in the body of the table.b. At the 0.05 level of significance, is there evidence of a difference in the group means?c. At The 0.05 level of significance, is there evidence of a difference due to blocks?
From Problems 11.15, 11.16, and 11.17,a. To perform the Tukey procedure, how many degrees of freedom are there in the numerator, and how many degrees of freedom are there in the denominator of the Studentized range distribution?b. At the 0.05 level of significance, what is the upper-tail critical
Given a randomized block experiment with three groups and seven blocks, a. How many degrees of freedom are there in determining the among-group variation? b. How many degrees of freedom are there in determining the among-block variation? c. How many degrees of freedom are there in determining the
You are working with the same experiment as in Problem 11.1. a. If and what is SSW? b. What is MSA? c. What is MSW? d. What is the value of FSTAT?
From Problem 11.19, if SSA = 36 and the randomized block FSTAT statistic is 6.0,a. What are MSE and SSE?b. What is SSBL if the FSTAT test statistic for block effect is 4.0?c. What is SST?d. At the 0.01 level of significance, is there evidence of an effect due to groups, and is there evidence of an
Given a randomized block experiment with four groups and eight blocks, in the following ANOVA summary table, fill in all the missing results.
From Problem 11.21, a. At the 0.05 level of significance, is there evidence of a difference among the four group means? b. At the 0.05 level of significance, is there evidence of an effect due to blocks?
Nine experts rated four brands of Colombian coffee in a taste-testing experiment. A rating on a 7-point scale (1 = extremely unpleasing, 7 = extremely pleasing) is given for each of four characteristics: taste, aroma, richness, and acidity. The following data (stored in Coffee) display the summated
Which cell phone service has the highest rating? The data in CellRating represent the mean ratings for Verizon, AT&T, T-Mobile, and Sprint in 19 different cities.a. At the 0.05 level of significance, determine whether there is evidence of a difference in the mean cell rating for the four cell
How different are the rates of return of money market accounts and certificates of deposit that vary in length of their term? The data in MMCD Rate contain these rates for banks in a suburban area. (Data extracted from "Consumer Money Rates," Newsday, June 24, 2010, p. A43.)a. At the 0.05 level of
Is there a difference in the prices if you shop as an impulsive shopper, if you shop as a savvy shopper, if you shop at a warehouse club such as Costco, or if you purchase store brands? To investigate this, a random sample of 10 purchases was selected, and the prices were compared. (Data extracted
Philips Semiconductors is a leading European manufacturer of integrated circuits. Integrated circuits are produced on silicon wafers, which are ground to target thickness early in the production process. The wafers are positioned in different locations on a grinder and kept in place using vacuum
The Data in Concrete2 represent the compressive strength in thousands of pounds per square inch of 40 samples of concrete taken 2, 7, and 28 days after pouring.a. At the 0.05 level of significance, is there evidence of a difference in the mean compressive strength after 2, 7, and 28 days?b. If
Consider a two-factor factorial design with three levels in factor A, three levels in factor B, and four replicates in each of the nine cells. a. How many degrees of freedom are there in determining the factor A variation and the factor B variation? b. How many degrees of freedom are there in
You are working with the same experiment as in Problems 11.1 and 11.2.1. Construct the ANOVA summary table and fill in all values in the table.2. At the 0.05 level of significance, what is the upper-tail critical value from the F distribution?3. State the decision rule for testing the null
Assume that you are working with the results from Problem 11.29, if SSA = 120, SSB = 110, SSE = 270, and SST = 540.a. What is SSAB?b. What are MSA and MSB?c. What is MSAB?d. What is MSE?
Assume that you are working with the results from Problems 11.29 and 11.30.a. What is the value of the test statistic for the interaction effect?b. What is the value of the test statistic for the factor A effect?c. What is the value of the test statistic for the factor B effect?d. Form the ANOVA
Given the results from Problems 11.29 through 11.31, a. At the 0.05 level of significance, is there an effect due to factor A? b. At the 0.05 level of significance, is there an effect due to factor B? c. At the 0.05 level of significance, is there an interaction effect?
Given a two-way ANOVA with two levels for factor A, five levels for factor B, and four replicates in each of the 10 cells, with SSA = 18, SSB = 64, SSE = 60, and SST = 150,a. Form the ANOVA summary table and fill in all values in the body of the table.b. At the 0.05 level of significance, is there
Given a two-factor factorial experiment and the ANOVA summary table that follows, fill in all the missing results:
Given the results from Problem 11.34, a. At the 0.05 level of significance, is there an effect due to factor A? b. At the 0.05 level of significance, is there an effect due to factor B? c. At the 0.05 level of significance, is there an interaction effect?
The effects of developer strength (factor A) and development time (factor B) on the density of photographic plate film were being studied. Two strengths and two development times were used, and four replicates in each of the four cells were evaluated. The results (with larger being best) are stored
A chef in a restaurant that specializes in pasta dishes was experiencing difficulty in getting brands of pasta to be al dente-that is, cooked enough so as not to feel starchy or hard but still feel firm when bitten into. She decided to conduct an experiment in which two brands of pasta, one
A student team in a business statistics course performed a factorial experiment to investigate the time required for pain-relief tablets to dissolve in a glass of water. The two factors of interest were brand name (Equate, Kroger, or Alka-Seltzer) and water temperature (hot or cold). The experiment
Integrated circuits are manufactured on silicon wafers through a process that involves a series of steps. An experiment was carried out to study the effect of the cleansing and etching steps on the yield (coded to maintain confidentiality). The results (stored in Yield) are as follows:At the 0.05
Consider an experiment with three groups, with seven values in each. a. How many degrees of freedom are there in determining the among-group variation? b. How many degrees of freedom are there in determining the within-group variation? c. How many degrees of freedom are there in determining the
An experiment was conducted to try to resolve a problem of brake discs overheating at high speed on construction equipment. Five different brake discs were measured by two different temperature gauges. The temperature of each brake disc and gauge combination was measured at eight different times
What is the difference between the completely randomized one-way ANOVA design and the randomized block design?
Under what conditions should you use the one-way ANOVA F test to examine possible differences among the means of c independent populations?
When and how should you use multiple comparison procedures for evaluating pairwise combinations of the group means?
What is the difference between the randomized block design and the two-factor factorial design?
What is the difference between the one-way ANOVA F test and the Levene test? Explain.
Under what conditions should you use the two-way ANOVA F test to examine possible differences among the means of each factor in a factorial design?
Consider an experiment with four groups, with eight values in each. For the ANOVA summary table below, fill in all the missing results:
What is meant by the concept of interaction in a two-factor factorial design?
How can you determine whether there is an interaction in the two-factor factorial design?
The operations manager for an appliance manufacturer wants to determine the optimal length of time for the washing cycle of a household clothes washer. An experiment is designed to measure the effect of detergent brand and washing cycle time on the amount of dirt removed from standard household
The quality control director for a clothing manufacturer wants to study the effect of operators and machines on the breaking strength (in pounds) of wool serge material. A batch of the material is cut into square-yard pieces, and these pieces are randomly assigned, 3 each, to each of the 12
An operations manager wants to examine the effect of air-jet pressure (in pounds per square inch [psi]) on the breaking strength of yarn. Three different levels of air-jet pressure are to be considered: 30 psi, 40 psi, and 50 psi. A random sample of 18 yarns are selected from the same batch, and

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