Consider a two-way analysis of variance experiment with treatment factors A and B.The results are summarized below. \[\begin{array} { l r r } \text { Source of Variation } & d f & \text { SS } \\ \text { Factor A } & 4 & 86 \\ \text { Factor B } & 5 & 75 \\ \text { Interaction } & 20 & 75 \\ \text { Error } & 90 & 300 \\ \text { Total } & 119 & 536 \end{array}\]

\[\begin{array} { l r r } \text { Sourc

Consider a two-way analysis of variance experiment with treatment factors A and B. [23.31,26.89]B.The results are summarized below: \[\begin{array} { l r r } \text { Source of Variation } & d f & \text { SS } \\ \text { Factor A } & 4 & 86 \\ \text { Factor B } & 5 & 75 \\ \text { Interaction } & 20 & 75 \\ \text { Error } & 90 & 300 \\ \text { Total } & 119 & 536 \end{array}\] Find an individual 95 percent confidence interval of the mean response of 25.1 obtained when using level 1 of factor A and level 2 of factor

\[\begin{array} { l r r } \text { Sourc

Exam 12: Experimental Design and Analysis of Variance

A researcher has used a one-way analysis of variance model to test whether the average starting salaries differ among recent graduates from the nursing,engineering,business,and education disciplines.She has randomly selected four graduates from each of the four areas. If MSE = 4,and SSTO = 120,complete the following ANOVA table and determine the value of the F statistic.

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Question 41

When using a randomized block design,the interaction effect between the block and treatment factors cannot be separated from the error term.

(True/False)

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Question 42

The F test for testing the difference between means is equal to the ratio of Mean Square _ over Mean Square ______.

(Multiple Choice)

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Question 43

Consider the one-way ANOVA table.

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Question 44

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments.

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Question 45

A company that fills gallon containers of water has four machines.The quality control manager needs to determine whether the average fill for these machines is the same.Looking at 19 one-gallon containers,we have the following data of fill measures (x)in quarts:

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Question 46

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments.

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Question 47

A vitamin-water manufacturer wants to compare the effects on sales of three water colors: green,blue,and red.Four regions are selected for the test,with the following ANOVA results.

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Question 48

When computing individual confidence intervals using the t statistic,for all possible pairwise comparison of means,the experimentwise error rate will be:

(Multiple Choice)

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Question 49

In one-way ANOVA,the total sum of squares is equal to _______________________.

(Multiple Choice)

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Question 50

Consider a two-way analysis of variance experiment with treatment factors A and B.The results are summarized below. Source of Variation df SS Factor A 4 86 Factor B 5 75 Interaction 20 75 Error 90 300 Total 119 536

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Question 51

Consider a two-way analysis of variance experiment with treatment factors A and B,with factor A having four levels and factor B having three levels.The results are summarized below.

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Question 52

The experimentwise α for the 95 percent individual confidence interval for μ₁ - μ₂ (treatment mean 1 - treatment mean 2)will always be smaller than the experimentwise α for Tukey's 95 percent simultaneous confidence interval for μ₁ - μ₂.

(True/False)

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Question 53

A sum of squares that measures the total amount of variability in the observed values of the response variable is referred to as the:

(Multiple Choice)

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Question 54

Consider a two-way analysis of variance experiment with treatment factors A and B. [23.31,26.89]B.The results are summarized below: Source of Variation df SS Factor A 4 86 Factor B 5 75 Interaction 20 75 Error 90 300 Total 119 536 Find an individual 95 percent confidence interval of the mean response of 25.1 obtained when using level 1 of factor A and level 2 of factor

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Question 55

When using a completely randomized design (one-way analysis of variance),the calculated F statistic will decrease as:

(Multiple Choice)

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Question 56

A company that fills gallon containers of water has four machines.The quality control manager needs to determine whether the average fill for these machines is the same.Looking at 19 one-gallon containers,we have the following data of fill measures (x)in quarts.

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Question 57

Consider a two-way analysis of variance experiment with treatment factors A and B,with factor A having four levels and factor B having three levels.The results are summarized below. Source of Variation df SS Factor A 71 Factor B 63 Interaction 50 Error 280 Total 71 464 Calculate the degrees of freedom for factor A and factor B.

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Question 58

In a 2-way ANOVA,treatment is considered to be a combination of a level of factor 1 and a level of factor 2.

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Question 59

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations. MSE = 101.25

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Question 60

Showing 41 - 60 of 114

When using a randomized block design,the interaction effect between the block and treatment factors cannot be separated from the error term.

The F test for testing the difference between means is equal to the ratio of Mean Square _ over Mean Square ______.

Consider the one-way ANOVA table.

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments.

A company that fills gallon containers of water has four machines.The quality control manager needs to determine whether the average fill for these machines is the same.Looking at 19 one-gallon containers,we have the following data of fill measures (x)in quarts:

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments.

A vitamin-water manufacturer wants to compare the effects on sales of three water colors: green,blue,and red.Four regions are selected for the test,with the following ANOVA results.

When computing individual confidence intervals using the t statistic,for all possible pairwise comparison of means,the experimentwise error rate will be:

In one-way ANOVA,the total sum of squares is equal to _______________________.

Consider a two-way analysis of variance experiment with treatment factors A and B.The results are summarized below. Source of Variation df SS Factor A 4 86 Factor B 5 75 Interaction 20 75 Error 90 300 Total 119 536

Consider a two-way analysis of variance experiment with treatment factors A and B,with factor A having four levels and factor B having three levels.The results are summarized below.

The experimentwise α for the 95 percent individual confidence interval for μ₁ - μ₂ (treatment mean 1 - treatment mean 2)will always be smaller than the experimentwise α for Tukey's 95 percent simultaneous confidence interval for μ₁ - μ₂.

A sum of squares that measures the total amount of variability in the observed values of the response variable is referred to as the:

When using a completely randomized design (one-way analysis of variance),the calculated F statistic will decrease as:

A company that fills gallon containers of water has four machines.The quality control manager needs to determine whether the average fill for these machines is the same.Looking at 19 one-gallon containers,we have the following data of fill measures (x)in quarts.

In a 2-way ANOVA,treatment is considered to be a combination of a level of factor 1 and a level of factor 2.

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations. MSE = 101.25

Statistical Inferences for Population Variances

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

Exam 12: Experimental Design and Analysis of Variance

When using a randomized block design,the interaction effect between the block and treatment factors cannot be separated from the error term.

The F test for testing the difference between means is equal to the ratio of Mean Square _____________ over Mean Square __________________.

Consider the one-way ANOVA table.

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments.

A company that fills gallon containers of water has four machines.The quality control manager needs to determine whether the average fill for these machines is the same.Looking at 19 one-gallon containers,we have the following data of fill measures (x)in quarts:

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments.

A vitamin-water manufacturer wants to compare the effects on sales of three water colors: green,blue,and red.Four regions are selected for the test,with the following ANOVA results.

When computing individual confidence intervals using the t statistic,for all possible pairwise comparison of means,the experimentwise error rate will be:

In one-way ANOVA,the total sum of squares is equal to _______________________.

Consider a two-way analysis of variance experiment with treatment factors A and B.The results are summarized below. Source of Variation df SS Factor A 4 86 Factor B 5 75 Interaction 20 75 Error 90 300 Total 119 536

Consider a two-way analysis of variance experiment with treatment factors A and B,with factor A having four levels and factor B having three levels.The results are summarized below.

The experimentwise α for the 95 percent individual confidence interval for μ1 - μ2 (treatment mean 1 - treatment mean 2)will always be smaller than the experimentwise α for Tukey's 95 percent simultaneous confidence interval for μ1 - μ2.

A sum of squares that measures the total amount of variability in the observed values of the response variable is referred to as the:

When using a completely randomized design (one-way analysis of variance),the calculated F statistic will decrease as:

A company that fills gallon containers of water has four machines.The quality control manager needs to determine whether the average fill for these machines is the same.Looking at 19 one-gallon containers,we have the following data of fill measures (x)in quarts.

In a 2-way ANOVA,treatment is considered to be a combination of a level of factor 1 and a level of factor 2.

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations. MSE = 101.25

Statistical Inferences for Population Variances

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

The F test for testing the difference between means is equal to the ratio of Mean Square _ over Mean Square ______.

The experimentwise α for the 95 percent individual confidence interval for μ₁ - μ₂ (treatment mean 1 - treatment mean 2)will always be smaller than the experimentwise α for Tukey's 95 percent simultaneous confidence interval for μ₁ - μ₂.