Exam 12: Analysis of Variance

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A manufacturer of automobile transmissions uses three different processes.Management ordered a study of the production costs to see if there is a difference among the three processes.A summary of the findings is shown below. A manufacturer of automobile transmissions uses three different processes.Management ordered a study of the production costs to see if there is a difference among the three processes.A summary of the findings is shown below.   What is the calculated F? What is the calculated F?

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Analysis of variance is used to

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ANOVA requires that the populations should be _______,_______,and ______.

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One characteristic of the F distribution is that the computed F can only range between -1 and +1.

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Given the following Analysis of Variance table for three treatments each with six observations. Given the following Analysis of Variance table for three treatments each with six observations.   What is the mean square for treatments? What is the mean square for treatments?

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When testing for differences between treatment means,a confidence interval is based on

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Several employees have submitted different methods of assembling a subassembly.Sample data for each method are: Several employees have submitted different methods of assembling a subassembly.Sample data for each method are:   How many treatments are there? How many treatments are there?

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Like Student's t distribution,a change in the degrees of freedom causes a change in the shape of the F distribution.

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In an one-way ANOVA,how many degrees of freedom are associated with the numerator of the F ratio? _______

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A random sample of 40 companies with assets over $10 million was selected and asked for their annual computer technology expense and industry.The ANOVA comparing the average computer technology expense among three industries rejected the null hypothesis.The Mean Square Error (MSE)was 195.The following table summarized the results: A random sample of 40 companies with assets over $10 million was selected and asked for their annual computer technology expense and industry.The ANOVA comparing the average computer technology expense among three industries rejected the null hypothesis.The Mean Square Error (MSE)was 195.The following table summarized the results:   Based on the comparison between the mean computer technology expense for companies in the Education and Tax services industries, Based on the comparison between the mean computer technology expense for companies in the Education and Tax services industries,

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An electronics company wants to compare the quality of their cell phones to the cell phones from three competitors.They sample 10 phones from each company and count the number of defects for each phone.If ANOVA were used to compare the average number of defects,the treatments would be defined as:

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What test statistic is used to compare two variances? ________________

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For the hypothesis test, For the hypothesis test,   ,with n<sub>1</sub> = 7 and n<sub>2</sub> = 7,the F-test statistic is 2.56.At the 0.05 level of significance,we would reject the null hypothesis. ,with n1 = 7 and n2 = 7,the F-test statistic is 2.56.At the 0.05 level of significance,we would reject the null hypothesis.

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A large department store examined a sample of the 18 credit card sales and recorded the amounts charged for each of three types of credit cards: MasterCard,Visa and Discover.Six MasterCard sales,seven Visa and five Discover sales were recorded.The store used an ANOVA to test if the mean sales for each credit card were equal.What are the degrees of freedom for the F statistic?

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In ANOVA,an F statistic is used to test a null hypothesis such as: In ANOVA,an F statistic is used to test a null hypothesis such as:

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Given the following Analysis of Variance table for three treatments each with six observations. Given the following Analysis of Variance table for three treatments each with six observations.   What is the computed value of F? What is the computed value of F?

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When the null hypothesis for an ANOVA analysis comparing four treatment means,is rejected,

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A manufacturer of automobile transmissions uses three different processes.Management ordered a study of the production costs to see if there is a difference among the three processes.A summary of the findings is shown below. A manufacturer of automobile transmissions uses three different processes.Management ordered a study of the production costs to see if there is a difference among the three processes.A summary of the findings is shown below.   What are the total degrees of freedom? What are the total degrees of freedom?

(Multiple Choice)
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A manufacturer of automobile transmissions uses three different processes.Management ordered a study of the production costs to see if there is a difference among the three processes.A summary of the findings is shown below. A manufacturer of automobile transmissions uses three different processes.Management ordered a study of the production costs to see if there is a difference among the three processes.A summary of the findings is shown below.   What is the decision? What is the decision?

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What equals the sum of squares divided by its corresponding degrees of freedom? _________________

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