Exam 13: Experimental Design and Analysis of Variance

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. ​ ​ The null hypothesis for this ANOVA problem is

In the ANOVA, treatments refer to

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 α = .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 order to determine whether or not the means of two populations are equal,

Random samples of employees from three different departments of MNM Corporation showed the following yearly incomes (in $1000). ​ At α = .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.

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. ​ ​ The mean square due to treatments (MSTR) equals

Consider the following ANOVA table. ​ ​ The test statistic to test the null hypothesis equals

The independent variable of interest in an ANOVA procedure is called a

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

Part of an ANOVA table is shown below. ​ The number of degrees of freedom corresponding to within-treatments is

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 tested by each university. ​ At α = .01, test to see if there is any significant difference in the average scores of all the students who took the exam from the three universities.(Note that the sample sizes are not equal.) Use both the critical and p-value approaches.

The F ratio in a completely randomized ANOVA is given by

For four populations, the population variances are assumed to be equal.Random samples from each population provide the following data. ​ Using a .05 level of significance, test to see if the means for all four populations are the same.

In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments (a total of 65 observations).Also, the design provided the following information. ​ SSTR = 300 (Sum of Squares Due to Treatments) SST = 800 (Total Sum of Squares) ​ The sum of squares due to error (SSE) is

In a factorial experiment, if there are x levels of factor A and y levels of factor B, there is a total of​

In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments (a total of 65 observations).Also, the design provided the following information. ​ SSTR = 300 (Sum of Squares Due to Treatments) SST = 800 (Total Sum of Squares) ​ The mean square due to treatments (MSTR) is

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 = 300 (Sum of Squares Due to Treatments) SST = 800 (Total Sum of Squares) ​ If we want to determine whether or not the means of the five populations are equal, the p-value is

Consider the following information. ​ ​ If n = 5, the mean square due to error (MSE) equals

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

In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments (a total of 65 observations).Also, the design provided the following information. ​ SSTR = 300 (Sum of Squares Due to Treatments) SST = 800 (Total Sum of Squares) ​ The mean square due to error (MSE) is