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Questions and Answers of
Statistics
The U.S. Department of Education reports that 40% of full-time college students are employed while attending college. (Data extracted from National Center for Education Statistics, The Condition of
One of the issues facing organizations is increasing diversity throughout an organization. One of the ways to evaluate an organization's success at increasing diversity is to compare the percentage
Of 801 surveyed active Linkedln members, 328 reported that they are planning to spend at least $1,000 on consumer electronics in the coming year. (Data extracted from bit.ly/RlTfFU.) At the 0.05
A cell phone provider has the business objective of wanting to estimate the proportion of subscribers who would upgrade to a new cell phone with improved features if it were made available at a
Actuation Consulting and Enterprise Agility recently conducted a global survey of product teams with the goal of better understanding the dynamics of product team performance and uncovering the
What is the difference between a null hypothesis, H0, and an alternative hypothesis, H1
What is the difference between a one-tail test and a two-tail test? Discuss.
What is the six-step critical value approach to hypothesis testing? Discuss.
What is the five-step p-value approach to hypothesis testing? Discuss.
In hypothesis testing, the common level of significance is α = 0.05. Some might argue for a level of significance greater than 0.05. Suppose that web designers tested the proportion of potential web
Financial institutions utilize prediction models to predict bankruptcy. One such model is the Altman Z-score model, which uses multiple corporate income and balance sheet values to measure the
The Pew Research Center conducted a survey of adults, aged 18 years and older, that included 1,954 cell-phone owners. The survey found that 1,016 of adult cell-phone owners use their phone while
The owner of a gasoline station wants to study gasoline purchasing habits of motorists at his station. He selects a random sample of 60 motorists during a certain week, with the following results:•
An auditor for a government agency was assigned the task of evaluating reimbursement for office visits to physicians paid by Medicare. The audit was conducted on a sample of 75 of the reimbursements,
A bank branch located in a commercial district of a city has the business objective of improving the process for serving customers during the noon-to-l:00 p.m. lunch period. The waiting time (defined
A manufacturing company produces electrical insulators. If the insulators break when in use, a short circuit is likely to occur. To test the strength of the insulators, destructive testing is carried
An important quality characteristic used by the manufacturer of Boston and Vermont asphalt shingles is the amount of moisture the shingles contain when they are packaged. Customers may feel that they
Studies conducted by the manufacturer of Boston and Vermont asphalt shingles have shown product weight to be a major factor in the customer's perception of quality. Moreover, the weight represents
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 through the warranty period,
Accounting Today identified the top accounting firms in 10 geographic regions across the United States. Even though all 10 regions reported growth in 2011, the Southeast and Gulf Coast regions
An important feature of digital cameras is battery life-the number of shots that can be taken before the batter) needs to be recharged. The file Cameras contains the battery life of 11 subcompact
A bank with a branch located in a commercial district of a city has the business objective of developing an improved process for serving customers during the noon-to-1 P.M. lunch period. Management
Repeat Problem 10.12 (a), assuming that the population variances in the two branches are not equal. Compare these results with those of Problem 10.12 (a).
In intaglio printing, a design or figure is carved beneath the surface of hard metal or stone. The business objective of an intaglio printing company is to determine whether there are differences in
Repeat Problem 10.14 (a), assuming that the population variances from untreated and treated steel plates are not equal. Compare these results with those of Problem 10.14 (a).
An article appearing in The Exponent, an independent college newspaper published by the Purdue Student Publishing Foundation, reported that the average American college student spends one hour (60
Brand valuations are critical to CEOs, financial and marketing executives, security analysts, institutional investors, and others who depend on well-researched, reliable information needed for
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
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
How does cell phone service compare between different cities'.' The data stored in Cell Service represent the rating of Verizon and AT&T in 22 different cities.a. At the 0.05 level of
Target versus Walmart: Who has the lowest prices? Given Walmart's slogan "Save Money-Live Better," you suspect that Walmart does. In order to test your suspicion, you identify 20 items (all
What motivates employees? The Great Place to Work Institute evaluated nonfinancial factors both globally and in the United States. (Data extracted from L. Petrecca, "Tech Companies Top List of 'Great
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 three- month workshops aimed at increasing worker motivation and performance. To check the
The data in Concrete1 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
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, X, = 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 1,085 adults asked, "Do you enjoy shopping for clothing for yourself?" The results indicated that 51% of the females enjoyed shopping for clothing for themselves as compared to 44% of the
Do social recommendations increase ad effectiveness? A study of online video viewers compared viewers who arrived at an advertising video for a particular brand by following a social media
A/B testing is a testing method that businesses use to test different designs and formats of a web page to determine whether a new web page is more effective than a current web page. Web designers at
The consumer research firm Scarborough analyzed the 10% of American adults that are either "Superbanked" or "Unbanked." Superbanked consumers are defined as U.S. adults who live in a household 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 "Cell phone 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. a = 0.10, n1 = 16, n2 = 21b. a = 0.05, n1= 16, n2 = 21c. a = 0.01, n1 = 16, n2 = 21
Determine the upper-tail critical value of F in each of the following one-tail tests.a. a = 0.05, n1 = 16, n2 = 21b. a = 0.01,n1 = 16, n2 = 21
The following information is available for two samples selected from independent normally distributed populations:Population A: n1 = 25 S21 = 16Population B: n2 = 25 S22 = 25a. Which sample variance
Construct a 95% confidence interval estimate of the population mean difference between μ1 and μ2. For information: Referring to Problem 10.2
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 σ22b. Suppose that you
A problem with a telephone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telecommunications company. The file Phone contains samples of 20
Accounting Today identified the top accounting firms in 10 geographic regions across the United States. Even though all 10 regions reported growth in 2011, the Southeast and Gulf Coast regions
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 Cameras contains the battery life of 11 subcompact
An article appearing in The Exponent, an independent college newspaper published by the Purdue Student Publishing Foundation, reported that the average American college student spends one hour (60
Is there a difference in the variation of the yield of five-year certificates of deposit (CDs) in different cities? The file Five Year CD Rate contains the yields for a five-year CD for nine banks in
What are some of the criteria used in the selection of a particular hypothesis-testing procedure? Discuss.
What is the distinction between two independent populations and two related populations? Discuss in detail.
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 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 a recent year, 58 sophomore business students were surveyed at a large university that has more than 1,000 sophomore business students
If n, = 5 and n2 = 4, at the 0.01 level of significance, is there evidence that μ1 > μ2?For Information: Referring to Problem 10.2
Do males and females differ in the amount of time they talk on the phone and the number of text messages they send? A study reported that women spent a mean of 818 minutes per month talking as
The file Restaurants contains the ratings for food, decor, 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 a program in Visual Basic. The
Do men and women differ in the number of online friends that they have? A study of 3,011 people reported that men had a mean of 180 friends and women had a mean of 140 friends. Suppose that the study
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
The owner of a restaurant that serves Continental-style entrees has the business objective of learning more about the patterns of patron demand during the Friday-to-Sunday weekend time period. She
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
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 very large number of mutual funds from which an investor can choose. Each mutual fund has its own mix of different types of investments. The data BestFunds1 present the one-year return
When people make estimates, they are influenced by anchors to their estimates. A study was conducted in which students were asked to estimate the number of calories in a cheeseburger. One group was
A recent study ("Snack Ads Spur Children to Eat More," The New York Times, July 20, 2009, p. B3) found that children who watched a cartoon with food advertising ate, on average, 28.5 grams of
A problem with a phone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telecommunications company. The file phone contains samples of 20
An experiment has a single factor with five groups and seven values in each group. a. How many degrees of freedom are there in determining the among-group variation? b. How many degrees of freedom
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
QSR has been reporting on the largest quick-serve and fast-casual brands in the United States for nearly 15 years. The file QSR contains the food segment (burger, chicken, pizza, or sandwich) and
Researchers conducted a study to determine whether graduates with an academic background in the discipline of leadership studies were better equipped with essential soft skills required to be
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 liver and
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
Consider a two-factor factorial design with three levels for factor A, three levels for factor B, and four replicates in each of the nine cells. a. How many degrees of freedom are there in
Assume that you are working with the results from Problem 11.15, and 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 11.15 and 11.16.a. What is the value of the FSTAT test statistic for the interaction effect?b. What is the value of the FSTAT test statistic
Given the results from Problems 11.15 through 11.17, 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
You are working with the same experiment as in Problem 11.1. a. If SSA = 60 and SST = 210, what is SSW? b. What is MSA? c. What is MSW? d. What is the value of FSTAT?
Given a two-factor factorial experiment and the ANOVA summary table that follows, fill in all the missing results:
Given the results from Problem 11.20,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
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
A metallurgy company wanted to investigate the effect of the percentage of ammonium and the stir rate on the density of the powder produced. The results (stored in Density) are as follows:At the 0.05
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
You are working with the same experiment as in Problems 11.1 and 11.2.a. Construct the ANOVA summary table and fill in all values in the table.b. At the 0.05 level of significance, what is the
When and how should you use multiple comparison procedures for evaluating pair wise combinations of the group means?
What is the difference between the one-way ANOVA F test and the Levene test? In detail.
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? Discuss.
What is meant by the concept of interaction in a two-factor factorial design? Discuss.
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
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