Exam 13: Experimental Design and Analysis of Variance

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Exhibit 13-6 Part of an ANOVA table is shown below. Exhibit 13-6 Part of an ANOVA table is shown below.   -Refer to Exhibit 13-6. The conclusion of the test is that the means -Refer to Exhibit 13-6. The conclusion of the test is that the means

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Exhibit 13-1 Exhibit 13-1   -Refer to Exhibit 13-1. The null hypothesis is to be tested at the 5% level of significance. The p-value is -Refer to Exhibit 13-1. The null hypothesis is to be tested at the 5% level of significance. The p-value is

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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. 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. 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.

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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. 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 for this ANOVA problem is -Refer to Exhibit 13-3. The null hypothesis for this ANOVA problem is

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In the analysis of variance procedure (ANOVA), "factor" refers to

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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. SSTR = 200 (Sum Square Between Treatments) SST = 800 (Total Sum Square) -Refer to Exhibit 13-4. The test statistic is

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In an analysis of variance problem if SST = 120 and SSTR = 80, then SSE is

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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. 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 -Refer to Exhibit 13-7. The conclusion of the test is that the means

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Exhibit 13-2 Exhibit 13-2   -Refer to Exhibit 13-2. The sum of squares due to error equals -Refer to Exhibit 13-2. The sum of squares due to error equals

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The variable of interest in an ANOVA procedure is called

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Exhibit 13-6 Part of an ANOVA table is shown below. Exhibit 13-6 Part of an ANOVA table is shown below.   -Refer to Exhibit 13-6. The mean square between treatments (MSTR) is -Refer to Exhibit 13-6. The mean square between treatments (MSTR) is

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Exhibit 13-2 Exhibit 13-2   -Refer to Exhibit 13-2. The null hypothesis is to be tested at the 5% level of significance. The p-value is -Refer to Exhibit 13-2. The null hypothesis is to be tested at the 5% level of significance. The p-value is

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

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In factorial designs, the response produced when the treatments of one factor interact with the treatments of another in influencing the response variable is known as

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A research organization wishes to determine whether four brands of batteries for transistor radios perform equally well. Three batteries of each type were randomly selected and installed in the three test radios. The number of hours of use for each battery is given below. A research organization wishes to determine whether four brands of batteries for transistor radios perform equally well. Three batteries of each type were randomly selected and installed in the three test radios. The number of hours of use for each battery is given below.    a.Use the analysis of variance procedure for completely randomized designs to determine whether there is a significant difference in the mean useful life of the four types of batteries. (Ignore the fact that there are different test radios.) Use the .05 level of significance and be sure to construct the ANOVA table. b. b.Now consider the three different test radios and carry out the analysis of variance procedure for a randomized block design. Include the ANOVA table. c.Compare the results in Parts a and a.Use the analysis of variance procedure for completely randomized designs to determine whether there is a significant difference in the mean useful life of the four types of batteries. (Ignore the fact that there are different test radios.) Use the .05 level of significance and be sure to construct the ANOVA table. b. b.Now consider the three different test radios and carry out the analysis of variance procedure for a randomized block design. Include the ANOVA table. c.Compare the results in Parts a and

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Three universities administer the same comprehensive examination to the recipients of MS degrees in psychology. From each institution, a random sample of MS recipients was selected, and these recipients were then given the exam. The following table shows the scores of the students from each university. Note that the sample sizes are not equal.  Three universities administer the same comprehensive examination to the recipients of MS degrees in psychology. From each institution, a random sample of MS recipients was selected, and these recipients were then given the exam. The following table shows the scores of the students from each university. Note that the sample sizes are not equal.    a.Compute the overall mean   .  b.At  \alpha  = 0.01, test to see if there is any significant difference in the average scores of the students from the three universities. Use both the critical value and p-value approaches. a.Compute the overall mean  Three universities administer the same comprehensive examination to the recipients of MS degrees in psychology. From each institution, a random sample of MS recipients was selected, and these recipients were then given the exam. The following table shows the scores of the students from each university. Note that the sample sizes are not equal.    a.Compute the overall mean   .  b.At  \alpha  = 0.01, test to see if there is any significant difference in the average scores of the students from the three universities. Use both the critical value and p-value approaches. . b.At α\alpha = 0.01, test to see if there is any significant difference in the average scores of the students from the three universities. Use both the critical value and p-value approaches.

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The critical F value with 8 numerator and 29 denominator degrees of freedom at α\alpha = 0.01 is

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An ANOVA procedure is used for data that was obtained from four sample groups each comprised of five observations. The degrees of freedom for the critical value of F are

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The three major automobile manufacturers have entered their cars in the Indianapolis 500 race. The speeds of the tested cars are given below.  The three major automobile manufacturers have entered their cars in the Indianapolis 500 race. The speeds of the tested cars are given below.   At  \alpha  = .05, test to see if there is a significant difference in the average speeds of the cars of the auto manufacturers. Use both the critical and p-value approaches. At α\alpha = .05, test to see if there is a significant difference in the average speeds of the cars of the auto manufacturers. Use both the critical and p-value approaches.

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Guitars R. US has three stores located in three different areas. Random samples of the sales of the three stores (in $1000) are shown below. Guitars R. US has three stores located in three different areas. Random samples of the sales of the three stores (in $1000) are 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. a.Compute the overall mean Guitars R. US has three stores located in three different areas. Random samples of the sales of the three stores (in $1000) are 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. . 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.

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