Question 1

The statistical methods of analysis of variance assume that the populations are normally distributed.

Accepted Answer

A) True 
 B)False  True

Question 2

Data from a randomized block design are shown in the following table.   
Using $\alpha$ = 0.05,the critical F value for the blocking effects null hypothesis is ___.

Accepted Answer

A)  3.59 
B)  4.76 
C)  3.98 
D)  5.14 
E)  6.54 
A)  3.59 
B)  4.76 
C)  3.98 
D)  5.14 
E)  6.54 D

Question 3

Cindy Ho,VP of Finance at Discrete Components,Inc.(DCI),theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly,she has designed an experiment to test her theory using four sales discount rates (0%,2%,4%,and 6%). Cindy wants to control for the size of the customer but not to test for it as the main variable of interest so she classified DCI's credit customers into three categories by total assets (small,medium,and large). Then,she randomly assigned four customers from each category to a sales discount rate. Cindy's experimental design is a ________.

Accepted Answer

A)  normalized block design 
B)  completely randomized design 
C)  factorial design 
D)  random block design 
E)  partially randomized design 
A)  normalized block design 
B)  completely randomized design 
C)  factorial design 
D)  random block design 
E)  partially randomized design D

Question 4

Data from a completely randomized design are shown in the following table.   For a one-way ANOVA,the Between Sum of Squares (SSC is ________.

Accepted Answer

A)  36.17 
B)  28.75 
C)  64.92 
D)  18.03 
E)  28.04 
A)  36.17 
B)  28.75 
C)  64.92 
D)  18.03 
E)  28.04

Question 5

An experimental design contains only independent variables.

Accepted Answer

A) True 
 B)False

Question 6

Pate's Pharmacy,Inc.operates a regional chain of 120 pharmacies. Each pharmacy's floor plan includes a greeting card department which is relatively isolated. Sandra Royo,Marketing Manager,feels that the level of lighting in the greeting card department may affect sales in that department. She chooses three levels of lighting (soft,medium,and bright)and randomly assigns six pharmacies to each lighting level. Analysis of Sandra's data yielded the following ANOVA table.   Using $\alpha$ = 0.05,the critical F value is _____________.

Accepted Answer

A)  13.68 
B)  19.43  
C)  3.59 
D)  19.45 
E)  3.68 
A)  13.68 
B)  19.43  
C)  3.59 
D)  19.45 
E)  3.68

Question 7

Cindy Ho,VP of Finance at Discrete Components,Inc.(DCI),theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly,she has designed an experiment to test her theory using four sales discount rates (0%,2%,4%,and 6%)by randomly assigning five customers to each sales discount rate.Cindy's experimental design is a ________.

Accepted Answer

A)  factorial design 
B)  random block design 
C)  completely randomized design 
D)  normalized block design 
E)  incomplete block design 
A)  factorial design 
B)  random block design 
C)  completely randomized design 
D)  normalized block design 
E)  incomplete block design

Question 8

Determining the table value for the F distribution requires two values for degrees of freedom.

Accepted Answer

A) True 
 B)False

Question 9

In an experiment where the means of 6 groups are being tested 2 at a time,______ tests are conducted.If each test is analyzed using an α = 0.01,the probability that at least 1 Type I error will be committed is ______.

Accepted Answer

A)  12; 0.12 
B)  12; 0.88 
C)  15; 0.14 
D)  15; 0.86 
E)  36; 0.30 
A)  12; 0.12 
B)  12; 0.88 
C)  15; 0.14 
D)  15; 0.86 
E)  36; 0.30

Question 10

For the following ANOVA table,the MS Treatment value is ___________.

Accepted Answer

A)  150 
B)  50 
C)  450 
D)  3.49 
E)  40 
A)  150 
B)  50 
C)  450 
D)  3.49 
E)  40

Question 11

As director of the employee wellness and productivity program in your company,you are interested in comparing the effects of strength training,aerobic training,and yoga on decreasing rates of injury and absenteeism.The company has 9 divisions with roughly the same number of employees,and you randomly assign 3 divisions to participate in strength training,3 to aerobic training,and 3 to yoga.Analysis of the data yielded the following ANOVA table.   
Using $\alpha$ = 0.05,the critical F value is ______.

Accepted Answer

A)  3.68 
B)  3.74 
C)  4.54 
D)  4.60 
E)  9.46 
A)  3.68 
B)  3.74 
C)  4.54 
D)  4.60 
E)  9.46

Question 12

A medical researcher is interested in how weight gain in children from third-world countries is affected by the source of protein (fish,roots and tubers,or nuts and oilseeds)and by level of protein intake (low,defined as less than 0.56 grams per kilogram of weight,or high).The researcher wants to test the relative efficacy of each protein source,controlling for the level of protein intake but not testing it as the main variable of interest.For this purpose,she classifies a group of children in an impoverished village in a third-world country into either high or low protein intake.Then,the researcher randomly assigns 50 children from each category to a group where the children will receive food once a day that will emphasize one of the three protein sources.You can assume that the total level of protein intake is not affected (it's effects take a longer time to show and depend largely on the other meals the children have at home).In this experiment,the level of protein intake is ______.

Accepted Answer

A)  a concomitant variable 
B)  the dependent variable 
C)  a treatment variable 
D)  a constant 
E)  a blocking variable 
A)  a concomitant variable 
B)  the dependent variable 
C)  a treatment variable 
D)  a constant 
E)  a blocking variable

Question 13

Data from a randomized block design are shown in the following table.   
Using $\alpha$ = 0.05,the observed F value for the treatments null hypothesis is _____.

Accepted Answer

A)  5.14 
B)  0.37 
C)  1.17 
D)  0.22 
E)  2.00 
A)  5.14 
B)  0.37 
C)  1.17 
D)  0.22 
E)  2.00

Question 14

A medical researcher is interested in how weight gain in children from third-world countries is affected by the source of protein (fish,roots and tubers,or nuts and oilseeds)and by level of protein intake (low,defined as less than 0.56 grams per kilogram of weight,or high).The researcher wants to test the relative efficacy of each protein source,controlling for the level of protein intake but not testing it as the main variable of interest.For this purpose,she classifies a group of children in an impoverished village in a third-world country into either high or low protein intake.Then,the researcher randomly assigns 50 children from each category to a group where the children will receive food once a day that will emphasize one of the three protein sources.You can assume that the total level of protein intake is not affected (it's effects take a longer time to show and depend largely on the other meals the children have at home).The researcher's alternative hypothesis is ______.

Accepted Answer

A) $\mu$1$\neq$$\mu$2 $\neq$$\mu$3 
B)  $\mu$1 $\ge$$\mu$2 $\ge$ $\mu$3 
C)  $\mu$1 = $\mu$2 = $\mu$3 
D)  at least one of the average weight gains will be different than the others 
E)  $\mu$1 $\le$$\mu$2 $\ge$ $\mu$3 
A) $\mu$1$\neq$$\mu$2 $\neq$$\mu$3 
B)  $\mu$1 $\ge$$\mu$2 $\ge$ $\mu$3 
C)  $\mu$1 = $\mu$2 = $\mu$3 
D)  at least one of the average weight gains will be different than the others 
E)  $\mu$1 $\le$$\mu$2 $\ge$ $\mu$3

Question 15

For the following ANOVA table,the HSD value,assuming equal sample sizes and using $\alpha$ = 0.05 is ______

Accepted Answer

A)  1.86 
B)  3.94 
C)  3.19 
D)  1.645 
E)  3.52 
A)  1.86 
B)  3.94 
C)  3.19 
D)  1.645 
E)  3.52

Question 16

Data from a randomized block design are shown in the following table.   
Using $\alpha$ = 0.05,the appropriate decision for the treatments is ________.

Accepted Answer

A)  do not reject the null hypothesis $\mu$1=$\mu$2 = $\mu$3 
B)  do not reject the null hypothesis $\mu$1=$\mu$2 = $\mu$3=$\mu$4 
C)  do not reject the null hypothesis $\mu$1 $\ge$$\mu$2 $\ge$ $\mu$3$\ge$ $\mu$4 
D)  do not reject the null hypothesis $\mu$1 $\le$$\mu$2 $\le$ $\mu$3 
E)  do nothing 
A)  do not reject the null hypothesis $\mu$1=$\mu$2 = $\mu$3 
B)  do not reject the null hypothesis $\mu$1=$\mu$2 = $\mu$3=$\mu$4 
C)  do not reject the null hypothesis $\mu$1 $\ge$$\mu$2 $\ge$ $\mu$3$\ge$ $\mu$4 
D)  do not reject the null hypothesis $\mu$1 $\le$$\mu$2 $\le$ $\mu$3 
E)  do nothing

Question 17

Medical Wonders is a specialized interior design company focused on healing artwork.The CEO,Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital,as measured by reduced length of stay.Her current client is a children's cancer hospital.Kathleen is interested in determining the effect of three different pieces of healing artwork on children.She chooses three paintings (a horse photo,a bright abstract,and a muted beach scene)and randomly assigns six hospital rooms to each painting.In Kathleen's experimental design "painting style" is _______.

Accepted Answer

A)  the dependent variable 
B)  a concomitant variable 
C)  a treatment variable 
D)  a blocking variable 
E)  a response variable 
A)  the dependent variable 
B)  a concomitant variable 
C)  a treatment variable 
D)  a blocking variable 
E)  a response variable

Question 18

Interaction effects in a factorial design can be analyzed in randomized block design.

Accepted Answer

A) True 
 B)False

Question 19

In analysis of variance tests a F distribution forms the basis for making the decisions.

Accepted Answer

A) True 
 B)False

Question 20

Cindy Ho,VP of Finance at Discrete Components,Inc.(DCI),theorizes that the discount level offered to credit customers affects the average collection period on credit sales. Accordingly,she has designed an experiment to test her theory using four sales discount rates (0%,2%,4%,and 6%). First,she classified DCI's credit customers into three categories by total assets (small,medium,and large). Then,she randomly assigned four customers from each category to a sales discount rate. In Cindy's experiment "average collection period" is ________.

Accepted Answer

A)  a concomitant variable 
B)  the dependent variable 
C)  a treatment variable 
D)  a blocking variable 
E)  a constant 
A)  a concomitant variable 
B)  the dependent variable 
C)  a treatment variable 
D)  a blocking variable 
E)  a constant

The statistical methods of analysis of variance assume that the populations are normally distributed.

Data from a completely randomized design are shown in the following table. For a one-way ANOVA,the Between Sum of Squares (SSC is ________.

An experimental design contains only independent variables.

Determining the table value for the F distribution requires two values for degrees of freedom.

In an experiment where the means of 6 groups are being tested 2 at a time, tests are conducted.If each test is analyzed using an α = 0.01,the probability that at least 1 Type I error will be committed is .

For the following ANOVA table,the MS Treatment value is ___________.

For the following ANOVA table,the HSD value,assuming equal sample sizes and using $\alpha$ = 0.05 is $For the following ANOVA table,the HSD value,assuming equal sample sizes and using \alpha = 0.05 is $

Data from a randomized block design are shown in the following table. $Data from a randomized block design are shown in the following table. Using \alpha = 0.05,the appropriate decision for the treatments is .$ Using $\alpha$ = 0.05,the appropriate decision for the treatments is .

Interaction effects in a factorial design can be analyzed in randomized block design.

In analysis of variance tests a F distribution forms the basis for making the decisions.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 11: A Nalysis of Variance and Design of Experiments

The statistical methods of analysis of variance assume that the populations are normally distributed.

Data from a randomized block design are shown in the following table. Using α\alphaα = 0.05,the critical F value for the blocking effects null hypothesis is ___.

Data from a completely randomized design are shown in the following table. For a one-way ANOVA,the Between Sum of Squares (SSC is ________.

An experimental design contains only independent variables.

Determining the table value for the F distribution requires two values for degrees of freedom.

In an experiment where the means of 6 groups are being tested 2 at a time,______ tests are conducted.If each test is analyzed using an α = 0.01,the probability that at least 1 Type I error will be committed is ______.

For the following ANOVA table,the MS Treatment value is ___________.

Data from a randomized block design are shown in the following table. Using α\alphaα = 0.05,the observed F value for the treatments null hypothesis is _____.

For the following ANOVA table,the HSD value,assuming equal sample sizes and using α\alphaα = 0.05 is ______

Data from a randomized block design are shown in the following table. Using α\alphaα = 0.05,the appropriate decision for the treatments is ________.

Interaction effects in a factorial design can be analyzed in randomized block design.

In analysis of variance tests a F distribution forms the basis for making the decisions.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

In an experiment where the means of 6 groups are being tested 2 at a time, tests are conducted.If each test is analyzed using an α = 0.01,the probability that at least 1 Type I error will be committed is .

For the following ANOVA table,the HSD value,assuming equal sample sizes and using $\alpha$ = 0.05 is $For the following ANOVA table,the HSD value,assuming equal sample sizes and using \alpha = 0.05 is $

Data from a randomized block design are shown in the following table. $Data from a randomized block design are shown in the following table. Using \alpha = 0.05,the appropriate decision for the treatments is .$ Using $\alpha$ = 0.05,the appropriate decision for the treatments is .