Exam 13: Analysis of Variance and Experimental Design

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.(Please note that the sample sizes are not equal. ) a.Compute. b.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.Use both the critical and p-value approaches.

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

Which of the following is not a required assumption for the analysis of variance?

Exhibit 13-1 -Refer to Exhibit 13-1.The mean square within treatments (MSE)equals

Individuals were randomly assigned to three different production processes.The hourly units of production for the three processes are shown below. Use the analysis of variance procedure with $\alpha$ = 0.05 to determine if there is a significant difference in the mean hourly units of production for the three types of production processes.Use both the critical and p-value approaches.

In ANOVA,which of the following is not affected by whether or not the population means are equal?

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 number of degrees of freedom corresponding to within treatments is

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.

Samples were selected from three populations.The data obtained are shown below. a.Compute the overall mean. b.Set up an ANOVA table for this problem. c.At 95% confidence,test to determine whether there is a significant difference in the means of the three populations.Use both the critical and p-value approaches.

An ANOVA procedure is applied to data obtained from 6 samples where each sample contains 20 observations.The degrees of freedom for the critical value of F are

In a completely randomized experimental design,11 experimental units were used for each of the 3 treatments.Part of the ANOVA table is shown below. a.Fill in the blanks in the above ANOVA table. b.At 95% confidence,test to determine whether or not the means of the 3 populations are equal.

Random samples of employees from three different departments of MNM Corporation showed the following yearly incomes (in $1,000). At $\alpha$ = .05,test to determine if there is a significant difference among the average incomes of the employees from the three departments.Use both the critical and p-value approaches.

Random samples of individuals from three different cities were asked how much time they spend per day watching television.The results (in minutes)for the three groups are shown below. At $\alpha$ = 0.05,test to see if there is a significant difference in the averages of the three groups.