Exam 13: Analysis of Variance and Experimental Design

Random samples were selected from three populations.The data obtained are shown below.Please note that the sample sizes are not equal. a.Compute the overall mean. b.At 95% confidence,test to see if there is a significant difference among the means.

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.If at 95% confidence,we want to determine whether or not the means of the populations are equal,the p-value is

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

Three universities in your state decided to administer the same comprehensive examination to the recipients of MBA degrees from the three institutions.From each institution,MBA recipients were randomly selected and were given the test.The following table shows the scores of the students from each university. At $\alpha$ = 0.01,test to see if there is any significant difference in the average scores of the students from the three universities.(Note that the sample sizes are not equal. )Use both the critical and p-value approaches.

In a completely randomized experimental design,11 experimental units were used for each of the 4 treatments.Part of the ANOVA table is shown below. Fill in the blanks in the above ANOVA table.

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. -Refer to Exhibit 13-4.The mean square within treatments (MSE)is

In a completely randomized design involving four treatments,the following information is provided. The overall mean (the grand mean)for all treatments is

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

Exhibit 13-6 Part of an ANOVA table is shown below. -Refer to Exhibit 13-6.The number of degrees of freedom corresponding to between treatments is

At $\alpha$ = 0.05,test to determine if the means of the three populations (from which the following samples are selected)are equal.Use both the critical and p-value approaches.

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. -Refer to Exhibit 13-4.The test statistic is

The F ratio in a completely randomized ANOVA is the ratio of

Exhibit 13-1 -Refer to Exhibit 13-1.The mean square between treatments (MSTR)equals

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. -Refer to Exhibit 13-4.The mean square between treatments (MSTR)is

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

A dietician wants to see if there is any difference in the effectiveness of three diets.Eighteen people were randomly chosen for the test.Then each individual was randomly assigned to one of the three diets.Below you are given the total amount of weight lost in six months by each person. a.State the null and alternative hypotheses. b.Calculate the test statistic. c.What would you advise the dietician about the effectiveness of the three diets? Use a .05 level of significance.

The variable of interest in an ANOVA procedure is called

In a completely randomized experimental design,14 experimental units were used for each of the 5 levels of the factor (i.e. ,5 treatments).Fill in the blanks in the following ANOVA table.

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. -Refer to Exhibit 13-4.The sum of squares within treatments (SSE)is

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