Question 1

Respond to the following questions using this partially completed one-way ANOVA table:   Fill in the ANOVA table with the missing values.

Accepted Answer

A) SSB = 483,MSB = 161,F-ratio = 11.1309,Within Samples df = 28,MSW = 14.464 
B) SSB = 483,MSB = 161,F- ratio = 8.1629,Within Samples df = 28,MSW = 14.464 
C) SSB = 483,MSB = 161,F-ratio = 8.1629,Within Samples df = 25,MSW = 14.464 
D) SSB = 504,MSB = 161,F-ratio = 8.1629,Within Samples df = 28,MSW = 14.464 
A) SSB = 483,MSB = 161,F-ratio = 11.1309,Within Samples df = 28,MSW = 14.464 
B) SSB = 483,MSB = 161,F- ratio = 8.1629,Within Samples df = 28,MSW = 14.464 
C) SSB = 483,MSB = 161,F-ratio = 8.1629,Within Samples df = 25,MSW = 14.464 
D) SSB = 504,MSB = 161,F-ratio = 8.1629,Within Samples df = 28,MSW = 14.464

Question 2

In a one-way analysis of variance test,the following null and alternative hypotheses are appropriate:
H0 : μ1 = μ2 = μ3
Hα : μ1 ≠ μ2 ≠ μ3

Accepted Answer

A) True 
 B)False

Question 3

Six food critics each visited and rated four different restaurants.Each critic visited each restaurant on three separate occasions and recorded a score for each visit.Assume that results show that there is an interaction.This would mean that,for example,which restaurant is rated the highest depends on which critic does the rating.

Accepted Answer

A) True 
 B)False

Question 4

In order for a one-way analysis of variance to be considered a balanced design,which of the following must hold?

Accepted Answer

A) The population variances must be equal. 
B) The sample sizes selected from each population must be equal. 
C) The study must have the same number of rows as it does columns. 
D) All of the above are true. 
A) The population variances must be equal. 
B) The sample sizes selected from each population must be equal. 
C) The study must have the same number of rows as it does columns. 
D) All of the above are true.

Question 5

The State Transportation Department is thinking of changing its speed limit signs.It is considering two new options in addition to the existing sign design.At question is whether the three sign designs will produce the same mean speed.To test this,the department has conducted a limited test in which a stretch of roadway was selected.With the original signs up,a random sample of 30 cars was selected and the speeds were measured.Then,on different days,the two new designs were installed,30 cars each day were sampled,and their speeds were recorded.Suppose that the following summary statistics were computed based on the data:   Based on these sample results and significance level equal to 0.05,the sum of squares between is:

Accepted Answer

A) approximately 3,586. 
B) approximately 2,430. 
C) approximately 1,215. 
D) None of the above 
A) approximately 3,586. 
B) approximately 2,430. 
C) approximately 1,215. 
D) None of the above

Question 6

In a two-factor ANOVA design with replications,there are three hypotheses to be tested;test for factor A,test for factor B,and test for interaction between factors A and B.

Accepted Answer

A) True 
 B)False

Question 7

A large orchard owner in the state of Washington is interested in determining whether the mean number of bushels of peaches per acre is the same or different depending on the type of tree that is used.He also thinks that production may be affected by the type of fertilizer that is used.To test,he has set up a test in which a one-acre plot of peach trees with a combination each of 5 varieties and 3 fertilizer types are studied.The following data reflect the number of bushels of peaches on each acre plot.   Assuming that the hypothesis tests will be conducted using an alpha equal 0.05 level,what is the value of the Fisher's LSD critical value for doing the multiple comparisons?

Accepted Answer

A) Approximately 16.78 
B) About 11.30 
C) Approximately 186.7 
D) Need to know the number of trees planted on each acre. 
A) Approximately 16.78 
B) About 11.30 
C) Approximately 186.7 
D) Need to know the number of trees planted on each acre.

Question 8

Based on the partially completed ANOVA table below,we know that 3 samples are being compared using 9 blocks.

Accepted Answer

A) True 
 B)False

Question 9

Given the following sample data   Based on the computations for the within- and between-sample variation,develop the ANOVA table and test the appropriate null hypothesis using alpha= 0.05.Use the p-value approach.

Accepted Answer

A) Since p-value = 0.0678 > 0.05 reject H0 and conclude that at least two population means are different. 
B) Since p-value = 0.000136 0 and conclude that at least two population means are different. 
C) Since p-value = 0.0678 > 0.05 accept H0 and conclude that all population means are the same. 
D) Since p-value = 0.000136 0 and conclude that all population means are the same. 
A) Since p-value = 0.0678 > 0.05 reject H0 and conclude that at least two population means are different. 
B) Since p-value = 0.000136 0 and conclude that at least two population means are different. 
C) Since p-value = 0.0678 > 0.05 accept H0 and conclude that all population means are the same. 
D) Since p-value = 0.000136 0 and conclude that all population means are the same.

Question 10

A fast food chain operation is interested in determining whether the mean per customer purchase differs by day of the week.To test this,it has selected random samples of customers for each day of the week.The analysts then ran a one-way analysis of variance generating the following output: ANOVA: Single Factor   Based upon this output,which of the following statements is true if the test is conducted at the 0.05 level of significance?

Accepted Answer

A) There is no basis for concluding that mean sales is different for the different days of the week. 
B) Based on the p-value,the null hypothesis should be rejected since the p-value exceeds the alpha level. 
C) The experiment is conducted as an unbalanced design. 
D) Based on the critical value,the null should be rejected. 
A) There is no basis for concluding that mean sales is different for the different days of the week. 
B) Based on the p-value,the null hypothesis should be rejected since the p-value exceeds the alpha level. 
C) The experiment is conducted as an unbalanced design. 
D) Based on the critical value,the null should be rejected.

Question 11

A test is conducted to compare three different income tax software packages to determine whether there is any difference in the average time it takes to prepare income tax returns using the three different software packages.Ten different persons' income tax returns are done by each of the three software packages and the time is recorded for each.The computer results are shown below.   ANOVA
  Based on these results and using a 0.05 level of significance which is correct regarding the primary hypothesis?

Accepted Answer

A) The three software packages are not all the same because p-value = 1.6E-14 is less than 0.05. 
B) The three software packages are all the same because p-value = 1.6 is greater than 0.05. 
C) The three software packages are not all the same because p-value = 2.66E-5 is less than 0.05. 
D) The three software packages are all the same because p-value = 2.66 is greater than 0.05. 
A) The three software packages are not all the same because p-value = 1.6E-14 is less than 0.05. 
B) The three software packages are all the same because p-value = 1.6 is greater than 0.05. 
C) The three software packages are not all the same because p-value = 2.66E-5 is less than 0.05. 
D) The three software packages are all the same because p-value = 2.66 is greater than 0.05.

Question 12

The number of cells in a two-factor analysis of variance design is equal to the number of levels of factor A plus the number of levels of factor B.

Accepted Answer

A) True 
 B)False

Question 13

The State Transportation Department is thinking of changing its speed limit signs.It is considering two new options in addition to the existing sign design.At question is whether the three sign designs will produce the same mean speed.To test this,the department has conducted a limited test in which a stretch of roadway was selected.With the original signs up,a random sample of 30 cars was selected and the speeds were measured.Then,on different days,the two new designs were installed,30 cars each day were sampled,and their speeds were recorded.Suppose that the following summary statistics were computed based on the data:   Based on these sample results and significance level equal to 0.05,what is the critical value for this hypothesis test?

Accepted Answer

A) F = approximately 3.15 
B) F = approximately 4.90 
C) F = approximately 29.47 
D) F = approximately 2.70 
A) F = approximately 3.15 
B) F = approximately 4.90 
C) F = approximately 29.47 
D) F = approximately 2.70

Question 14

Considering the following printout for a two-factor ANOVA design,which of the following is a proper conclusion to reach?

Accepted Answer

A) There is no significant interaction between the two factors. 
B) The levels of factor A (Sample)have significantly different means. 
C) The levels of factor B (Columns)have significantly different means. 
D) The total number of observations is 47. 
A) There is no significant interaction between the two factors. 
B) The levels of factor A (Sample)have significantly different means. 
C) The levels of factor B (Columns)have significantly different means. 
D) The total number of observations is 47.

Question 15

A test is conducted to compare three different income tax software packages to determine whether there is any difference in the average time it takes to prepare income tax returns using the three different software packages.Ten different person's income tax returns are done by each of the three software packages and the time is recorded for each.Given this format and testing using an alpha level equal to 0.05,the critical value associated with the primary hypothesis test is:

Accepted Answer

A) 3.555 
B) 2.456 
C) 19.385 
D) 4.256 
A) 3.555 
B) 2.456 
C) 19.385 
D) 4.256

Question 16

A study was conducted to determine if differences in new textbook prices exist between on-campus bookstores,off-campus bookstores,and Internet bookstores.To control for differences in textbook prices that might exist across disciplines,the study randomly selected 12 textbooks and recorded the price of each of the 12 books at each of the three retailers.You may assume normality and equal-variance assumptions have been met.The partially completed ANOVA table based on the study's findings is shown here:   Complete the ANOVA table by filling in the missing sums of squares,the degrees of freedom for each source,the mean square,and the calculated F-test statistic for each possible hypothesis test.

Accepted Answer

A) Textbooks df = 11,MSBL = 1,511.3,F (Textbooks)= 40.05,Retailer df = 2,MSB = 1.2,  
,SSW = 851.2,Error df = 22,MSW = 38.7,Total df = 35 
B) Textbooks df = 11,MSBL = 1,511.3,F (Textbooks)= 39.05,Retailer df = 2,MSB = 1.2,  
,SSW = 851.2,Error df = 22,MSW = 38.7,Total df = 35 
C) Textbooks df = 12,MSBL = 1,511.3,F (Textbooks)= 39.05,Retailer df = 2,MSB = 1.2,  
,SSW = 851.2,Error df = 22,MSW = 38.7,Total df = 36 
D) Textbooks df = 11,MSBL = 1,511.3,F (Textbooks)= 39.05,Retailer df = 2,MSB = 1.2,   
A) Textbooks df = 11,MSBL = 1,511.3,F (Textbooks)= 40.05,Retailer df = 2,MSB = 1.2,  
,SSW = 851.2,Error df = 22,MSW = 38.7,Total df = 35 
B) Textbooks df = 11,MSBL = 1,511.3,F (Textbooks)= 39.05,Retailer df = 2,MSB = 1.2,  
,SSW = 851.2,Error df = 22,MSW = 38.7,Total df = 35 
C) Textbooks df = 12,MSBL = 1,511.3,F (Textbooks)= 39.05,Retailer df = 2,MSB = 1.2,  
,SSW = 851.2,Error df = 22,MSW = 38.7,Total df = 36 
D) Textbooks df = 11,MSBL = 1,511.3,F (Textbooks)= 39.05,Retailer df = 2,MSB = 1.2,

Question 17

A test is conducted to compare three different income tax software packages to determine whether there is any difference in the average time it takes to prepare income tax returns using the three different software packages.Ten different persons' income tax returns are done by each of the three software packages and the time is recorded for each.The computer results are shown below.   ANOVA
  Based on these results and using a 0.05 level of significance which is correct regarding blocking?

Accepted Answer

A) Blocking was not effective because p-value = 2.66 is greater than 0.05. 
B) Blocking was effective because p-value = 2.66E - 5 is less than 0.05. 
C) Blocking was not effective because p-value = 1.6 is greater than 0.05. 
D) Blocking was effective because p-value = 1.6E-14 is less than 0.05. 
A) Blocking was not effective because p-value = 2.66 is greater than 0.05. 
B) Blocking was effective because p-value = 2.66E - 5 is less than 0.05. 
C) Blocking was not effective because p-value = 1.6 is greater than 0.05. 
D) Blocking was effective because p-value = 1.6E-14 is less than 0.05.

Question 18

A national car rental agency is interested in determining whether the mean days that customers rent cars is the same between three of its major cities.The following data reflect the number of days people rented a car for a sample of people in each of three cities.Assuming that a one-way analysis of variance is to be performed,the value of the test statistic is approximately F = 3.4.

Accepted Answer

A) True 
 B)False

Question 19

A real estate broker is interested in determining whether there is a difference in the mean number of days a home stays on the market before selling based on which area of the city it is located in.However,she is also concerned that the price of the house may be an issue in determining how long it takes to sell a house,so she wants to control for this.To carry out the test,she plans to randomly select one house from each part of the city in each price range.The following data show the number of days for the sample of houses selected.
   Using a significance level equal to 0.05,determine whether the broker was justified in controlling for house prices.Be sure to indicate what type of statistical test should be used and why.

Accepted Answer

The primary issue is whether or not the

Question 20

In a completely randomized analysis of variance design,the observations from each factor are selected in an independent and random fashion.

Accepted Answer

A) True 
 B)False

Respond to the following questions using this partially completed one-way ANOVA table: Fill in the ANOVA table with the missing values.

In a one-way analysis of variance test,the following null and alternative hypotheses are appropriate: H₀ : μ₁ = μ₂ = μ₃ H_α : μ₁ ≠ μ₂ ≠ μ₃

In order for a one-way analysis of variance to be considered a balanced design,which of the following must hold?

In a two-factor ANOVA design with replications,there are three hypotheses to be tested;test for factor A,test for factor B,and test for interaction between factors A and B.

Based on the partially completed ANOVA table below,we know that 3 samples are being compared using 9 blocks.

Given the following sample data Based on the computations for the within- and between-sample variation,develop the ANOVA table and test the appropriate null hypothesis using alpha= 0.05.Use the p-value approach.

The number of cells in a two-factor analysis of variance design is equal to the number of levels of factor A plus the number of levels of factor B.

Considering the following printout for a two-factor ANOVA design,which of the following is a proper conclusion to reach?

In a completely randomized analysis of variance design,the observations from each factor are selected in an independent and random fashion.

The Where,Why,and How of Data Collection

Graphs,Charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Introduction to Continuous Probability Distributions

Introduction to Sampling Distributions

Estimating Single Population Parameters

Introduction to Hypothesis Testing

Estimation and Hypothesis Testing for Two Population Parameters

Hypothesis Tests and Estimation for Population Variances

Goodness-Of-Fit Tests and Contingency Analysis

Introduction to Linear Regression and Correlation Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Filters

Exam 12: Analysis of Variance

Respond to the following questions using this partially completed one-way ANOVA table: Fill in the ANOVA table with the missing values.

In a one-way analysis of variance test,the following null and alternative hypotheses are appropriate: H0 : μ1 = μ2 = μ3 Hα : μ1 ≠ μ2 ≠ μ3

In order for a one-way analysis of variance to be considered a balanced design,which of the following must hold?

In a two-factor ANOVA design with replications,there are three hypotheses to be tested;test for factor A,test for factor B,and test for interaction between factors A and B.

Based on the partially completed ANOVA table below,we know that 3 samples are being compared using 9 blocks.

Given the following sample data Based on the computations for the within- and between-sample variation,develop the ANOVA table and test the appropriate null hypothesis using alpha= 0.05.Use the p-value approach.

The number of cells in a two-factor analysis of variance design is equal to the number of levels of factor A plus the number of levels of factor B.

Considering the following printout for a two-factor ANOVA design,which of the following is a proper conclusion to reach?

In a completely randomized analysis of variance design,the observations from each factor are selected in an independent and random fashion.

The Where,Why,and How of Data Collection

Graphs,Charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Introduction to Continuous Probability Distributions

Introduction to Sampling Distributions

Estimating Single Population Parameters

Introduction to Hypothesis Testing

Estimation and Hypothesis Testing for Two Population Parameters

Hypothesis Tests and Estimation for Population Variances

Goodness-Of-Fit Tests and Contingency Analysis

Introduction to Linear Regression and Correlation Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Filters

In a one-way analysis of variance test,the following null and alternative hypotheses are appropriate: H₀ : μ₁ = μ₂ = μ₃ H_α : μ₁ ≠ μ₂ ≠ μ₃