Exam 13: Experimental Design and Analysis of Variance

Halls, Inc. has three stores located in three different areas. Random samples of the sales of the three stores (in $1,000s) are shown below. Store 1 Store 2 Store 3 46 34 33 47 36 31 45 35 35 42 39 At a 5% level of significance, use Excel to determine whether there is a significant difference in the average sales of the three stores.

The required condition for using an ANOVA procedure on data from several populations is that the _____.

Six observations were selected from each of three populations. The data obtained are shown below. Sample 1 Sample 2 Sample 3 31 37 37 28 32 31 34 34 32 32 24 39 26 32 30 29 33 35 Test at α = .05 level to determine if there is a significant difference in the means of the three populations. ​

Random samples were selected from three populations. The data obtained are shown below. Treatment 1 Treatment 2 Treatment 3 45 30 39 41 34 35 37 35 38 40 40 At a 5% level of significance, test to see if there is a significant difference in the means of the three populations. (Please note that the sample sizes are not equal.) ​

In an analysis of variance, one estimate of $\sigma$ is based upon the differences between the treatment means and the _____.

An experimental design that permits statistical conclusions about two or more factors is a _____.

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

To test to determine whether 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: Method I Method II Method III 182 170 162 170 192 166 180 190 At the α = .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.)

The critical F value with 8 numerator and 29 denominator degrees of freedom at α = .01 is _____.

The final examination grades of random samples of students from three different classes are shown below. Class A Class B Class C 92 91 85 85 85 93 96 90 82 95 86 84 At the α = .05 level of significance, is there any difference in the mean grades of the three classes?

Random samples were selected from three populations. The data obtained are shown below. Treatment 1 Treatment 2 Treatment 3 37 43 28 33 39 32 36 35 33 38 38 40 At a 5% level of significance, test to see if there is a significant difference in the means of the three populations. (Please note that the sample sizes are not equal.)

The required condition for using an ANOVA procedure on data from several populations is that the _____.

A term that means the same as the term "variable" in an ANOVA procedure is _____.

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 _____.

The manager of Young Corporation wants to determine whether or not the type of work schedule for her employees has any effect on their productivity. She has selected 15 production employees at random and then randomly assigned five employees to each of the three proposed work schedules. The following table shows the units of production (per week) under each of the work schedules. Work Schedule (Treatments) Work Schedule 1 Work Schedule 2 Work Schedule 3 50 60 70 60 65 75 70 66 55 40 54 40 45 57 55 At a 5% level of significance, determine if there is a significant difference in the mean weekly units of production for the three types of work schedules.

In a completely randomized design involving three treatments, the following information is provided: Treatment 1 Treatment 1 Treatment 2 Treatment 3 Sample size 5 10 5 Sample mean 4 8 9 ? The overall mean for all the treatments is ______.

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 _____.

Five drivers were selected to test drive two makes of automobiles. The following table shows the number of miles per gallon for each driver driving each car. \mid Driver Automobile 1 2 3 4 5 A 30 31 30 27 32 B 36 35 28 31 30 Consider the makes of automobiles as treatments and the drivers as blocks and test to see if there is any difference in the miles/gallon of the two makes of automobiles. Let α = .05.

In an analysis of variance, one estimate of $\sigma$ is based upon the differences between the treatment means and the _____.

The number of times each experimental condition is observed in a factorial design is known as a(n) _____.