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mathematics
statistics

Questions and Answers of Statistics

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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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?
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
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
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
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
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
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
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
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
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
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
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 =
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
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.
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
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
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.
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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.
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
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
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,
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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

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