Question 1

Exhibit 13-2
  
-Refer to Exhibit 13-2.The null hypothesis for this ANOVA problem is

Accepted Answer

A) $\mu$1=$\mu$2=$\mu$3=$\mu$4 
B) $\mu$1=$\mu$2=$\mu$3=$\mu$4=$\mu$5 
C) $\mu$1=$\mu$2=$\mu$3=$\mu$4=$\mu$5=$\mu$6 
D) $\mu$1=$\mu$2= ...=$\mu$20 
A) $\mu$1=$\mu$2=$\mu$3=$\mu$4 
B) $\mu$1=$\mu$2=$\mu$3=$\mu$4=$\mu$5 
C) $\mu$1=$\mu$2=$\mu$3=$\mu$4=$\mu$5=$\mu$6 
D) $\mu$1=$\mu$2= ...=$\mu$20

Question 2

Five drivers were selected to test drive 2 makes of automobiles.The following table shows the number of miles per gallon for each driver driving each car.
   
Consider the makes of automobiles as treatments and the drivers as blocks,test to see if there is any difference in the miles/gallon of the two makes of automobiles.Let $\alpha$ = .05.

Accepted Answer

The answer of Five drivers were selected to test drive...

Question 3

Exhibit 13-3
To test whether or not there is a difference between treatments A,B,and C,a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below.
  
-Refer to Exhibit 13-3.The mean square within treatments (MSE)equals

Accepted Answer

A) 1.872 
B) 5.86 
C) 34 
D) 36 
A) 1.872 
B) 5.86 
C) 34 
D) 36

Question 4

Exhibit 13-4
In a completely randomized experimental design involving five treatments,13 observations were recorded for each of the five treatments (a total of 65 observations).The following information is provided.
  
-Refer to Exhibit 13-4.If at 95% confidence we want to determine whether or not the means of the five populations are equal,the p-value is

Accepted Answer

A) between 0.05 to 0.10 
B) between 0.025 to 0.05 
C) between 0.01 to 0.025 
D) less than 0.01 
A) between 0.05 to 0.10 
B) between 0.025 to 0.05 
C) between 0.01 to 0.025 
D) less than 0.01

Question 5

In an analysis of variance,one estimate of $\sigma$2 is based upon the differences between the treatment means and the

Accepted Answer

A) means of each sample 
B) overall sample mean 
C) sum of observations 
D) populations have equal means 
A) means of each sample 
B) overall sample mean 
C) sum of observations 
D) populations have equal means

Question 6

In order to compare the life expectancies of three different brands of tires,ten tires of each brand were randomly selected and were subjected to standard wear testing procedures.Information regarding the three brands is shown below.
   
Use the above data and test to see if the mean mileage for all three brands of tires is the same.Let $\alpha$ = 0.05.Use both the critical value and p-value approaches.

Accepted Answer

The answer of In order to compare the life expectancies...

Question 7

The heating bills for a selected sample of houses using various forms of heating are given below (values are in dollars).
   
At $\alpha$= 0.05,test to see if there is a significant difference among the average bills of the homes.Use both the critical and p-value approaches.

Accepted Answer

@#IMG-DLM& F = 6.774;p-value i

Question 8

In order to compare the life expectancies of three different brands of printers,eight printers of each brand were randomly selected.Information regarding the three brands is shown below.
   
a.Compute the overall mean.
b.State the null and alternative hypotheses to be tested.
c.Show the complete ANOVA table for this test including the test statistic.
d.The null hypothesis is to be tested at 95% confidence.Determine the critical value for this test.What do you conclude?
e.Determine the p-value and use it for the test.

Accepted Answer

a.58 b.H_o: There is no significant differ

Question 9

The heating bills for a selected sample of houses using various forms of heating are given below.(Values are in dollars. )
   
a.At $\alpha$ = 0.05,test to see if there is a significant difference among the average heating bills of the homes.Use the p-value approach.
b.Test the above hypotheses using the critical value approach.Let $\alpha$  = .05.

Accepted Answer

a. @#IMG-DLM& 
The test statistic F = 0.656;p-valu

Question 10

The required condition for using an ANOVA procedure on data from several populations is that the

Accepted Answer

A) the selected samples are dependent on each other 
B) sampled populations are all uniform 
C) sampled populations have equal variances 
D) sampled populations have equal means 
A) the selected samples are dependent on each other 
B) sampled populations are all uniform 
C) sampled populations have equal variances 
D) sampled populations have equal means

Question 11

Exhibit 13-7
The following is part of an ANOVA table that was obtained from data regarding three treatments and a total of 15 observations.
  
-Refer to Exhibit 13-7.The conclusion of the test is that the means

Accepted Answer

A) are equal 
B) may be equal 
C) are not equal 
D) None of these alternatives is correct. 
A) are equal 
B) may be equal 
C) are not equal 
D) None of these alternatives is correct.

Question 12

Part of an ANOVA table involving 8 groups for a study is shown below.
   
a.Complete all the missing values in the above table and fill in the blanks.
b.Use $\alpha$ = 0.05 to determine if there is any significant difference among the means of the eight groups.

Accepted Answer

a.Source
of Variation
Sum of
S

Question 13

When an analysis of variance is performed on samples drawn from K populations,the mean square between treatments (MSTR)is

Accepted Answer

A) SSTR/nT 
B) SSTR/(nT - 1) 
C) SSTR/K 
D) SSTR/(K - 1) 
A) SSTR/nT 
B) SSTR/(nT - 1) 
C) SSTR/K 
D) SSTR/(K - 1)

Question 14

A term that means the same as the term "variable" in an ANOVA procedure is

Accepted Answer

A) factor 
B) treatment 
C) replication 
D) variance within 
A) factor 
B) treatment 
C) replication 
D) variance within

Question 15

Exhibit 13-7
The following is part of an ANOVA table that was obtained from data regarding three treatments and a total of 15 observations.
  
-Refer to Exhibit 13-7.The mean square between treatments (MSTR)is

Accepted Answer

A) 36 
B) 16 
C) 8 
D) 32 
A) 36 
B) 16 
C) 8 
D) 32

Question 16

In a completely randomized experimental design,7 experimental units were used for the first treatment,9 experimental units for the second treatment,and 14 experimental units for the third treatment.Part of the ANOVA table for this experiment is shown below.
   
a.Fill in all the blanks in the above ANOVA table.
b.At 95% confidence using both the critical value and p-value approaches,test to see if there is a significant difference among the means.

Accepted Answer

a. @#IMG-DLM& 
b.The test stat

Question 17

Exhibit 13-5
Part of an ANOVA table is shown below.
  
-Refer to Exhibit 13-5.The mean square between treatments (MSTR)is

Accepted Answer

A) 20 
B) 60 
C) 300 
D) 15 
A) 20 
B) 60 
C) 300 
D) 15

Question 18

In a completely randomized experimental design,18 experimental units were used for the first treatment,10 experimental units for the second treatment,and 15 experimental units for the third treatment.Part of the ANOVA table for this experiment is shown below.
   
a.Fill in all the blanks in the above ANOVA table.
b.At 95% confidence,test to see if there is a significant difference among the means.

Accepted Answer

a.Source of
Variation
Sum of
Squares
Deg

Question 19

Exhibit 13-3
To test whether or not there is a difference between treatments A,B,and C,a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below.
  
-Refer to Exhibit 13-3.The null hypothesis is to be tested at the 1% level of significance.The p-value is

Accepted Answer

A) greater than 0.1 
B) between 0.1 to 0.05 
C) between 0.05 to 0.025 
D) between 0.025 to 0.01 
A) greater than 0.1 
B) between 0.1 to 0.05 
C) between 0.05 to 0.025 
D) between 0.025 to 0.01

Question 20

Random samples were selected from three populations.The data obtained are shown below.Please note that the sample sizes are not equal.
   
a.Compute the overall mean.
b.At 95% confidence using the critical value and p-value approach,test to see if there is a significant difference among the means.

Accepted Answer

a.36
b. @#IMG-DLM& The test statistic F

Exhibit 13-2 -Refer to Exhibit 13-2.The null hypothesis for this ANOVA problem is

Exhibit 13-3 To test whether or not there is a difference between treatments A,B,and C,a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below. -Refer to Exhibit 13-3.The mean square within treatments (MSE)equals

In an analysis of variance,one estimate of $\sigma$ ² is based upon the differences between the treatment means and the

The required condition for using an ANOVA procedure on data from several populations is that the

Exhibit 13-7 The following is part of an ANOVA table that was obtained from data regarding three treatments and a total of 15 observations. -Refer to Exhibit 13-7.The conclusion of the test is that the means

When an analysis of variance is performed on samples drawn from K populations,the mean square between treatments (MSTR)is

A term that means the same as the term "variable" in an ANOVA procedure is

Exhibit 13-7 The following is part of an ANOVA table that was obtained from data regarding three treatments and a total of 15 observations. -Refer to Exhibit 13-7.The mean square between treatments (MSTR)is

Exhibit 13-5 Part of an ANOVA table is shown below. -Refer to Exhibit 13-5.The mean square between treatments (MSTR)is

Exhibit 13-3 To test whether or not there is a difference between treatments A,B,and C,a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below. -Refer to Exhibit 13-3.The null hypothesis is to be tested at the 1% level of significance.The p-value is

Random samples were selected from three populations.The data obtained are shown below.Please note that the sample sizes are not equal. a.Compute the overall mean. b.At 95% confidence using the critical value and p-value approach,test to see if there is a significant difference among the means.

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Index Numbers

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Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

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Exam 13: Analysis of Variance and Experimental Design

Exhibit 13-2 -Refer to Exhibit 13-2.The null hypothesis for this ANOVA problem is

Exhibit 13-3 To test whether or not there is a difference between treatments A,B,and C,a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below. -Refer to Exhibit 13-3.The mean square within treatments (MSE)equals

In an analysis of variance,one estimate of σ\sigmaσ 2 is based upon the differences between the treatment means and the

The heating bills for a selected sample of houses using various forms of heating are given below (values are in dollars). At α\alphaα = 0.05,test to see if there is a significant difference among the average bills of the homes.Use both the critical and p-value approaches.

The required condition for using an ANOVA procedure on data from several populations is that the

Exhibit 13-7 The following is part of an ANOVA table that was obtained from data regarding three treatments and a total of 15 observations. -Refer to Exhibit 13-7.The conclusion of the test is that the means

Part of an ANOVA table involving 8 groups for a study is shown below. a.Complete all the missing values in the above table and fill in the blanks. b.Use α\alphaα = 0.05 to determine if there is any significant difference among the means of the eight groups.

When an analysis of variance is performed on samples drawn from K populations,the mean square between treatments (MSTR)is

A term that means the same as the term "variable" in an ANOVA procedure is

Exhibit 13-7 The following is part of an ANOVA table that was obtained from data regarding three treatments and a total of 15 observations. -Refer to Exhibit 13-7.The mean square between treatments (MSTR)is

Exhibit 13-5 Part of an ANOVA table is shown below. -Refer to Exhibit 13-5.The mean square between treatments (MSTR)is

Random samples were selected from three populations.The data obtained are shown below.Please note that the sample sizes are not equal. a.Compute the overall mean. b.At 95% confidence using the critical value and p-value approach,test to see if there is a significant difference among the means.

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Index Numbers

Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

In an analysis of variance,one estimate of $\sigma$ ² is based upon the differences between the treatment means and the