Annuity A large annuity company holds many industry group stocks.Among the industries are banks,business services and construction.Seven companies from each industry group are randomly sampled to test the hypothesis that the mean price per share is the same among industries.The data are: \[\begin{array} { | l | l | l | } \hline { \text { Banks } } & { \text { Business Services } } & { \text { Construction } } \\ \hline n _ { 1 } = 7 & n _ { 2 } = 7 & n _ { 3 } = 7 \\ \bar { x } _ { 1 } = 41 & \bar { x } _ { 2 } = 30 & \bar { x } _ { 3 } = 24 \\ \sum _ { i = 1 } ^ { n _ { 1 } } \left( x _ { 1 } - \bar { x } _ { 1 } \right) ^ { 2 } = 882 & \sum _ { i = 1 } ^ { n _ { 2 } } \left( x _ { i 2 } - \bar { x } _ { 2 } \right) ^ { 2 } = 1266 & \sum _ { i = 1 } ^ { n _ { 1 } } \left( x _ { i 3 } - \bar { x } _ { 3 } \right) ^ { 2 } = 582 \\ \hline \end{array}\] -What is the conclusion?

The answer of Annuity A large annuity company holds many industry...

Music A study to examine the effect of music type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results: \[\begin{array}{l} \text { Music (B) }\\ \begin{array} { | c | c c | c | } \hline \begin{array} { c } \text { Assembly } \\ \text { Method (A) } \end{array} & \text { Classical } & \text { Rock } & \text { Means } \\ \hline 1 & 36,32 & 49,47 & 41 \\ 2 & 28,32 & 44,40 & 36 \\ \hline \text { Means } & 32 & 45 & 38.5 \text { Overall Mean } \\ \hline \end{array} \end{array}\] -What is the computed value for the mean square for the interaction between Factor A and Factor B (MSAB)?

The answer of Music A study to examine the effect of...

Music A study to examine the effect of music type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results: \[\begin{array}{l} \text { Music (B) }\\ \begin{array} { | c | c c | c | } \hline \begin{array} { c } \text { Assembly } \\ \text { Method (A) } \end{array} & \text { Classical } & \text { Rock } & \text { Means } \\ \hline 1 & 36,32 & 49,47 & 41 \\ 2 & 28,32 & 44,40 & 36 \\ \hline \text { Means } & 32 & 45 & 38.5 \text { Overall Mean } \\ \hline \end{array} \end{array}\] -What is the computed value for the error sum of squares (SSE)?

The answer of Music A study to examine the effect of...

Stores A vice president would like to know whether there is a difference between the average number of customers per day between four different stores.The following data was collected over the same 5-day period for each store. \[\begin{array} { | c | c | c | c | c | } \hline & \text { Stare 1 } & \text { Stare 2 } & \text { Stare 3 } & \text { Stare 4 } \\ \hline \text { Day 1 } & 36 & 12 & 25 & 30 \\ \hline \text { Day 2 } & 42 & 22 & 51 & 36 \\ \hline \text { Day 3 } & 39 & 33 & 40 & 28 \\ \hline \text { Day 4 } & 25 & 30 & 42 & 46 \\ \hline \text { Day 5 } & 47 & 34 & 26 & 35 \\ \hline \end{array}\] -Develop a randomized block design to test for the difference between the average number of customers per day between four different stores using $\alpha$ = 0.05 and using the days as the blocking variable. Calculate the test statistic.

The answer of Stores A vice president would like to know...

Music A study to examine the effect of music type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results: \[\begin{array}{l} \text { Music (B) }\\ \begin{array} { | c | c c | c | } \hline \begin{array} { c } \text { Assembly } \\ \text { Method (A) } \end{array} & \text { Classical } & \text { Rock } & \text { Means } \\ \hline 1 & 36,32 & 49,47 & 41 \\ 2 & 28,32 & 44,40 & 36 \\ \hline \text { Means } & 32 & 45 & 38.5 \text { Overall Mean } \\ \hline \end{array} \end{array}\] -What is the computed value for the sum of squares for the interaction between Factor A and Factor B (SSAB)?

The answer of Music A study to examine the effect of...

Alumni clubs Three alumni clubs for a university have members who contribute to the university athletic program.The amount of contribution (in dollars)for six contributors randomly selected from each city to test the hypothesis that the mean contribution is the same among alumni clubs is given below,followed by the total for each city: \[\begin{array} { | l | l | l | } \hline { \text { Banks } } & { \text { Business Services } } & { \text { Construction } } \\ \hline n _ { 1 } = 7 & n _ { 2 } = 7 & n _ { 3 } = 7 \\ \bar { x } _ { 1 } = 41 & \bar { x } _ { 2 } = 30 & \bar { x } _ { 3 } = 24 \\ \sum _ { i = 1 } ^ { n _ { 1 } } \left( x _ { 1 } - \bar { x } _ { 1 } \right) ^ { 2 } = 882 & \sum _ { i = 1 } ^ { n _ { 2 } } \left( x _ { i 2 } - \bar { x } _ { 2 } \right) ^ { 2 } = 1266 & \sum _ { i = 1 } ^ { n _ { 1 } } \left( x _ { i 3 } - \bar { x } _ { 3 } \right) ^ { 2 } = 582 \\ \hline \end{array}\] -Compute the appropriate table value to use as the critical value at the 5% significance level.

The answer of Alumni clubs Three alumni clubs for a university...

Lighting A study to examine the effect of lighting type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results: \[\begin{array}{l} \text { Lighting (B) }\\ \begin{array} { | c | c c | c | } \hline \begin{array} { c } \text { Assembly } \\ \text { Method } ( \text { A } ) \end{array} & \text { Fluorescent } & \text { Incandescent } & \text { Means } \\ \hline 1 & 49,32 & 42,45 & 42 \\ 2 & 37,30 & 45,32 & 36 \\ \hline \text { Means } & 37 & 41 & 39 \text { Grand Mean } \\ \hline \end{array} \end{array}\] -What is the computed value for the total sum of squares (SST)?

The answer of Lighting A study to examine the effect of...

Exam 12: Analysis of Variance Tests

A pharmaceutical manufacturer has been researching new formulas to provide quicker relief of minor pains.His laboratories have produced three different formulas,which he wanted to test.Fifteen people who complained of minor pains were recruited for an experiment.Five were given formula 1,five were given formula 2,and the last five were given formula 3.Each was asked to take the medicine and report the length of time until some relief was felt.The results are shown below.Do these data provide sufficient evidence to indicate that differences in the time of relief exist among the three formulas? Use $\alpha$ = .05. Time in Minutes Until Relief is Felt Formula 1 Formula 2 Formula 3 4 2 6 8 5 7 6 3 7 9 7 8 8 1 6 Test statistic = = Critical Value = Conclusion: Interpretation: __________________________

(Essay)

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Question 121

Annuity A large annuity company holds many industry group stocks.Among the industries are banks,business services and construction.Seven companies from each industry group are randomly sampled to test the hypothesis that the mean price per share is the same among industries.The data are: Banks Business Services Construction =7 =7 =7 =41 =30 =24 =882 =1266 =582 -What is the conclusion?

(Short Answer)

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Question 122

In ANOVA,the variation between groups represents random error from the sampling process.

(True/False)

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Question 123

Music A study to examine the effect of music type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results: Music (B) Assembly Method (A) Classical Rock Means 1 36,32 49,47 41 2 28,32 44,40 36 Means 32 45 38.5 Overall Mean -What is the computed value for the mean square for the interaction between Factor A and Factor B (MSAB)?

(Short Answer)

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Question 124

Basic to ANOVA is the comparison of variation between samples versus the amount of variation within the samples.The test statistic is an F-ratio in which the numerator reflects variation within the samples and the denominator reflects the variation between them.

(True/False)

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Question 125

A randomized block design ANOVA has two treatments.The test to be performed in this procedure is equivalent to:

(Multiple Choice)

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Question 126

One-way ANOVA is applied to three independent samples having means 10,13,and 18,respectively.If each observation in the third sample were increased by 30,the value of the F-statistic would:

(Multiple Choice)

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Question 127

Music A study to examine the effect of music type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results: Music (B) Assembly Method (A) Classical Rock Means 1 36,32 49,47 41 2 28,32 44,40 36 Means 32 45 38.5 Overall Mean -What is the computed value for the error sum of squares (SSE)?

(Short Answer)

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Question 128

Stores A vice president would like to know whether there is a difference between the average number of customers per day between four different stores.The following data was collected over the same 5-day period for each store. Stare 1 Stare 2 Stare 3 Stare 4 Day 1 36 12 25 30 Day 2 42 22 51 36 Day 3 39 33 40 28 Day 4 25 30 42 46 Day 5 47 34 26 35 -Develop a randomized block design to test for the difference between the average number of customers per day between four different stores using $\alpha$ = 0.05 and using the days as the blocking variable. Calculate the test statistic.

(Short Answer)

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Question 129

Music A study to examine the effect of music type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results: Music (B) Assembly Method (A) Classical Rock Means 1 36,32 49,47 41 2 28,32 44,40 36 Means 32 45 38.5 Overall Mean -What is the computed value for the sum of squares for the interaction between Factor A and Factor B (SSAB)?

(Short Answer)

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Question 130

Randomized block ANOVA examines interactions between different levels of the independent variables.

(True/False)

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Question 131

Alumni clubs Three alumni clubs for a university have members who contribute to the university athletic program.The amount of contribution (in dollars)for six contributors randomly selected from each city to test the hypothesis that the mean contribution is the same among alumni clubs is given below,followed by the total for each city: Banks Business Services Construction =7 =7 =7 =41 =30 =24 =882 =1266 =582 -What is the conclusion?

(Short Answer)

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Question 132

Alumni clubs Three alumni clubs for a university have members who contribute to the university athletic program.The amount of contribution (in dollars)for six contributors randomly selected from each city to test the hypothesis that the mean contribution is the same among alumni clubs is given below,followed by the total for each city: Banks Business Services Construction =7 =7 =7 =41 =30 =24 =882 =1266 =582 -Compute the appropriate table value to use as the critical value at the 5% significance level.

(Short Answer)

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Question 133

Lighting A study to examine the effect of lighting type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results: Lighting (B) Assembly Method ( A ) Fluorescent Incandescent Means 1 49,32 42,45 42 2 37,30 45,32 36 Means 37 41 39 Grand Mean -What is the computed value for the total sum of squares (SST)?

(Short Answer)

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Question 134

Match each term with its definition: -Total amount of variation

(Multiple Choice)

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Question 135

The F-statistic in a one-way ANOVA represents the:

(Multiple Choice)

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Question 136

Explain the role that between-sample variation and within-sample variation play in carrying out an analysis of variance.

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Question 137

Test Statistic -What is the critical F for the 0.05 level for the interaction effects between Factor A and Factor B.

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Question 138

A professor of statistics is trying to determine which of three statistical software packages is the best for his students.He believes that the time (in hours)it takes a student to master a particular software may be influenced by gender.A 3 X 2 factorial experiment with three replicates was designed,as shown below: Gender Software Male Female 1 29 26 24 32 20 30 2 32 23 26 31 21 25 3 18 27 20 22 25 30 Is there sufficient evidence at the 10% significance level to infer that the time it takes a student to master software and the gender of the student interact?

(Essay)

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Question 139

Alumni clubs Three alumni clubs for a university have members who contribute to the university athletic program.The amount of contribution (in dollars)for six contributors randomly selected from each city to test the hypothesis that the mean contribution is the same among alumni clubs is given below,followed by the total for each city: Banks Business Services Construction =7 =7 =7 =41 =30 =24 =882 =1266 =582 -Compute the test statistic. Test statistic = =

(Short Answer)

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Question 140

In ANOVA,the variation between groups represents random error from the sampling process.

Basic to ANOVA is the comparison of variation between samples versus the amount of variation within the samples.The test statistic is an F-ratio in which the numerator reflects variation within the samples and the denominator reflects the variation between them.

A randomized block design ANOVA has two treatments.The test to be performed in this procedure is equivalent to:

One-way ANOVA is applied to three independent samples having means 10,13,and 18,respectively.If each observation in the third sample were increased by 30,the value of the F-statistic would:

Randomized block ANOVA examines interactions between different levels of the independent variables.

Match each term with its definition: -Total amount of variation

The F-statistic in a one-way ANOVA represents the:

Explain the role that between-sample variation and within-sample variation play in carrying out an analysis of variance.

Test Statistic -What is the critical F for the 0.05 level for the interaction effects between Factor A and Factor B.

A Preview of Business Statistics

Visual Description of Data

Statistical Description of Data

Data Collection and Sampling Methods

Probability: Review of Basic Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Estimation From Sample Data

Hypothesis Tests Involving a Sample Mean or Proportion

Hypothesis Tests Involving Two Sample Means

Chi-Square Applications

Nonparametric Methods

Simple Linear Regression and Correlation

Multiple Regression and Correlation

Model Building

Models for Time Series and Forecasting

Decision Theory

Total Quality Management

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