Exam 13: Experimental Design and Analysis of Variance

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Exhibit 13-1 Exhibit 13-1   -Refer to Exhibit 13-1. The test statistic to test the null hypothesis equals -Refer to Exhibit 13-1. The test statistic to test the null hypothesis equals

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Exhibit 13-2 Exhibit 13-2   -Refer to Exhibit 13-2. The mean square between treatments equals -Refer to Exhibit 13-2. The mean square between treatments equals

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A dietician wants to see if there is any difference in the effectiveness of three diets. Eighteen people, comprising a sample, were randomly assigned to the three diets. Below you are given the total amount of weight lost in a month by each person. A dietician wants to see if there is any difference in the effectiveness of three diets. Eighteen people, comprising a sample, were randomly assigned to the three diets. Below you are given the total amount of weight lost in a month by each person.   What would you advise the dietician about the effectiveness of the three diets? Use Excel and a .05 level of significance. What would you advise the dietician about the effectiveness of the three diets? Use Excel and a .05 level of significance.

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  Conclude that the diets are equally effective. Conclude that the diets are equally effective.

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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Exhibit 13-7 The following is part of an ANOVA table, which was the results of three treatments and a total of 15 observations. Exhibit 13-7 The following is part of an ANOVA table, which was the results of three treatments and a total of 15 observations.   -Which of the following is not a required assumption for the analysis of variance? -Which of the following is not a required assumption for the analysis of variance?

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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, use Excel to test to see if there is a significant difference in the average speeds of the cars of the auto manufacturers. At α\alpha = .05, use Excel to test to see if there is a significant difference in the average speeds of the cars of the auto manufacturers.

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Exhibit 13-4 In a completely randomized experimental design involving five treatments, thirteen observations were recorded for each of the five treatments. The following information is provided.SSTR = 200 (Sum Square Between Treatments) SST = 800 (Total Sum Square) -Refer to Exhibit 13-4. The number of degrees of freedom corresponding to between treatments is

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Exhibit 13-7 The following is part of an ANOVA table, which was the results of three treatments and a total of 15 observations. Exhibit 13-7 The following is part of an ANOVA table, which was the results of three treatments and a total of 15 observations.   -Refer to Exhibit 13-7. The mean square between treatments (MSTR) is -Refer to Exhibit 13-7. The mean square between treatments (MSTR) is

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In order to test to see if there is any significant difference in the mean number of units produced per week by each of three production methods, the following data were collected: In order to test to see if there is any significant difference in the mean number of units produced per week by each of three production methods, the following data were collected:   At the Alpha = 0.05 level of significance, is there any difference in the mean number of units produced per week by each method? Show the complete ANOVA table. (Please note that the sample sizes are not equal.) At the Alpha = 0.05 level of significance, is there any difference in the mean number of units produced per week by each method? Show the complete ANOVA table. (Please note that the sample sizes are not equal.)

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A factorial experiment involving 2 levels of factor A and 2 levels of factor B resulted in the following.  A factorial experiment involving 2 levels of factor A and 2 levels of factor B resulted in the following.    Set up the ANOVA table and test for any significant main effect and any interaction effect. Use  \mu = .05. Set up the ANOVA table and test for any significant main effect and any interaction effect. Use μ\mu = .05.

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Eight observations were selected from each of 3 populations, and an analysis of variance was performed on the data. The following are part of the results.  Eight observations were selected from each of 3 populations, and an analysis of variance was performed on the data. The following are part of the results.    Using  \alpha  = .05, test to see if there is a significant difference among the means of the three populations. The sample sizes for the three treatments are equal. Using α\alpha = .05, test to see if there is a significant difference among the means of the three populations. The sample sizes for the three treatments are equal.

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Exhibit 13-7 The following is part of an ANOVA table, which was the results of three treatments and a total of 15 observations.  Exhibit 13-7 The following is part of an ANOVA table, which was the results of three treatments and a total of 15 observations.   -The test scores for selected samples of sociology students who took the course from three different instructors are shown below.    At  \alpha  = 0.05, test to see if there is a significant difference among the averages of the three groups. -The test scores for selected samples of sociology students who took the course from three different instructors are shown below.  Exhibit 13-7 The following is part of an ANOVA table, which was the results of three treatments and a total of 15 observations.   -The test scores for selected samples of sociology students who took the course from three different instructors are shown below.    At  \alpha  = 0.05, test to see if there is a significant difference among the averages of the three groups. At α\alpha = 0.05, test to see if there is a significant difference among the averages of the three groups.

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Part of an ANOVA table is shown below.  Part of an ANOVA table is shown below.    a.Compute the missing values and fill in the blanks in the above table. Use  \mu  = .01 to determine if there is any significant difference among the means. b.How many groups have there been in this problem? c.What has been the total number of observations? a.Compute the missing values and fill in the blanks in the above table. Use μ\mu = .01 to determine if there is any significant difference among the means. b.How many groups have there been in this problem? c.What has been the total number of observations?

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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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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. If at a 5% level of significance, we want to determine whether or not the means of the populations are equal, the critical value of F is -Refer to Exhibit 13-5. If at a 5% level of significance, we want to determine whether or not the means of the populations are equal, the critical value of F is

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Regional Manager Sue Collins would like to know if the mean number of telephone calls made per 8-hour shift is the same for the telemarketers at her three call centers (Austin, Las Vegas, and Albuquerque).A simple random sample of 6 telemarketers from each of the three call centers was taken and the number of telephone calls made in eight hours by each observed employee is shown below.  Regional Manager Sue Collins would like to know if the mean number of telephone calls made per 8-hour shift is the same for the telemarketers at her three call centers (Austin, Las Vegas, and Albuquerque).A simple random sample of 6 telemarketers from each of the three call centers was taken and the number of telephone calls made in eight hours by each observed employee is shown below.    a. Using  \alpha  = .10, test for any significant difference in number of telephone calls made at the three call centers. b. Apply Fisher's least significant difference (LSD) procedure to determine where the differences occur. Use  \alpha  = .05. a. Using α\alpha = .10, test for any significant difference in number of telephone calls made at the three call centers. b. Apply Fisher's least significant difference (LSD) procedure to determine where the differences occur. Use α\alpha = .05.

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Exhibit 13-1 Exhibit 13-1   -Refer to Exhibit 13-1. The null hypothesis -Refer to Exhibit 13-1. The null hypothesis

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The process of allocating the total sum of squares and degrees of freedom is called

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Exhibit 13-7 The following is part of an ANOVA table, which was the results of three treatments and a total of 15 observations. Exhibit 13-7 The following is part of an ANOVA table, which was the results of three treatments and a total of 15 observations.   -Refer to Exhibit 13-7. The number of degrees of freedom corresponding to within treatments is -Refer to Exhibit 13-7. The number of degrees of freedom corresponding to within treatments is

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The mean square is the sum of squares divided by

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