An experiment has a single factor with five groups and seven values in each group. a. How many degrees of freedom are there is determining the among-group variation? b. How many degrees of freedom are there in determining the within-group variation? c. How many degrees of freedom are there in determining the total variation?

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter 11, Problem 1PS

An experiment has a single factor with five groups and seven values in each group.

a. How many degrees of freedom are there is determining the among-group variation?

b. How many degrees of freedom are there in determining the within-group variation?

c. How many degrees of freedom are there in determining the total variation?

a.

Expert Solution

To determine

Determine the value of degrees of freedom for among group variation.

Answer to Problem 1PS

The required value of degrees of freedom is 4.

Explanation of Solution

In a study, among group variation is measured between groups of the data. The degree of freedom for among group variation can be calculated as:

Degrees of freedom=c−1

Here, c is the number of groups present in the data set. Since 5 groups have been compared in the study, substitute n=5 in the above formula.

DF=c−1=5−1=4

Hence, the value of degrees of freedom for among group variation is 4 .

b.

Expert Solution

To determine

Determine the value of degrees of freedom for within group variation.

Answer to Problem 1PS

The required value of degrees of freedom is 30.

Explanation of Solution

In a study, within group variation is measured between the data points of each group. The degree of freedom for within group variation can be calculated as:

Degrees of freedom=n−c

Here, n is the total number of data values and c is the number of groups.

Since, there are 5 groups with 7 values each, the total number of data values is:

5×7=35 .

Substitute n=35 in the above formula.

DF=n−c=35−5=30

Hence, the value of degrees of freedom for within group variation is 30 .

c.

Expert Solution

To determine

Determine the value of number of degrees for the total variation.

Answer to Problem 1PS

The required value of degrees of freedom is 34.

Explanation of Solution

The degree of freedom for the total variation can be calculated as:

DF=n−1

Here, n is the total number of data values. Since the total number of data values is 35, the value of degrees of freedom for the total variation is:

DF=n−1=35−1=34

Hence, the value of degrees of freedom is 34.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

08:34 ◄ Classroom 07:59 Probs. 5-32/33 D ا. 89 5-34. Determine the horizontal and vertical components of reaction at the pin A and the normal force at the smooth peg B on the member. A 0,4 m 0.4 m Prob. 5-34 F=600 N fr th ar 0. 163586 5-37. The wooden plank resting between the buildings deflects slightly when it supports the 50-kg boy. This deflection causes a triangular distribution of load at its ends. having maximum intensities of w, and wg. Determine w and wg. each measured in N/m. when the boy is standing 3 m from one end as shown. Neglect the mass of the plank. 0.45 m 3 m

Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include: Mileage (mpg) Number of Cylinders (cyl) Displacement (disp) Horsepower (hp) Research: Google to understand these variables. Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp Mean Median First Quartile (Q1) Second Quartile (Q2) Third Quartile (Q3) Fourth Quartile (Q4) 10th Percentile 70th Percentile Skewness Kurtosis Document Your Results: In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command” In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…

Answer 2

Textbook Question

Chapter 11, Problem 1PS

An experiment has a single factor with five groups and seven values in each group.

a. How many degrees of freedom are there is determining the among-group variation?

b. How many degrees of freedom are there in determining the within-group variation?

c. How many degrees of freedom are there in determining the total variation?

a.

Expert Solution

To determine

Determine the value of degrees of freedom for among group variation.

Answer to Problem 1PS

The required value of degrees of freedom is 4.

Explanation of Solution

In a study, among group variation is measured between groups of the data. The degree of freedom for among group variation can be calculated as:

Degrees of freedom=c−1

Here, c is the number of groups present in the data set. Since 5 groups have been compared in the study, substitute n=5 in the above formula.

DF=c−1=5−1=4

Hence, the value of degrees of freedom for among group variation is 4 .

b.

Expert Solution

To determine

Determine the value of degrees of freedom for within group variation.

Answer to Problem 1PS

The required value of degrees of freedom is 30.

Explanation of Solution

In a study, within group variation is measured between the data points of each group. The degree of freedom for within group variation can be calculated as:

Degrees of freedom=n−c

Here, n is the total number of data values and c is the number of groups.

Since, there are 5 groups with 7 values each, the total number of data values is:

5×7=35 .

Substitute n=35 in the above formula.

DF=n−c=35−5=30

Hence, the value of degrees of freedom for within group variation is 30 .

c.

Expert Solution

To determine

Determine the value of number of degrees for the total variation.

Answer to Problem 1PS

The required value of degrees of freedom is 34.

Explanation of Solution

The degree of freedom for the total variation can be calculated as:

DF=n−1

Here, n is the total number of data values. Since the total number of data values is 35, the value of degrees of freedom for the total variation is:

DF=n−1=35−1=34

Hence, the value of degrees of freedom is 34.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter 11, Problem 1PS

An experiment has a single factor with five groups and seven values in each group.

a. How many degrees of freedom are there is determining the among-group variation?

b. How many degrees of freedom are there in determining the within-group variation?

c. How many degrees of freedom are there in determining the total variation?

a.

Expert Solution

To determine

Determine the value of degrees of freedom for among group variation.

Answer to Problem 1PS

The required value of degrees of freedom is 4.

Explanation of Solution

In a study, among group variation is measured between groups of the data. The degree of freedom for among group variation can be calculated as:

Degrees of freedom=c−1

Here, c is the number of groups present in the data set. Since 5 groups have been compared in the study, substitute n=5 in the above formula.

DF=c−1=5−1=4

Hence, the value of degrees of freedom for among group variation is 4 .

b.

Expert Solution

To determine

Determine the value of degrees of freedom for within group variation.

Answer to Problem 1PS

The required value of degrees of freedom is 30.

Explanation of Solution

In a study, within group variation is measured between the data points of each group. The degree of freedom for within group variation can be calculated as:

Degrees of freedom=n−c

Here, n is the total number of data values and c is the number of groups.

Since, there are 5 groups with 7 values each, the total number of data values is:

5×7=35 .

Substitute n=35 in the above formula.

DF=n−c=35−5=30

Hence, the value of degrees of freedom for within group variation is 30 .

c.

Expert Solution

To determine

Determine the value of number of degrees for the total variation.

Answer to Problem 1PS

The required value of degrees of freedom is 34.

Explanation of Solution

The degree of freedom for the total variation can be calculated as:

DF=n−1

Here, n is the total number of data values. Since the total number of data values is 35, the value of degrees of freedom for the total variation is:

DF=n−1=35−1=34

Hence, the value of degrees of freedom is 34.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 11, Problem 1PS

An experiment has a single factor with five groups and seven values in each group.

a. How many degrees of freedom are there is determining the among-group variation?

b. How many degrees of freedom are there in determining the within-group variation?

c. How many degrees of freedom are there in determining the total variation?

a.

Expert Solution

To determine

Determine the value of degrees of freedom for among group variation.

Answer to Problem 1PS

The required value of degrees of freedom is 4.

Explanation of Solution

In a study, among group variation is measured between groups of the data. The degree of freedom for among group variation can be calculated as:

Degrees of freedom=c−1

Here, c is the number of groups present in the data set. Since 5 groups have been compared in the study, substitute n=5 in the above formula.

DF=c−1=5−1=4

Hence, the value of degrees of freedom for among group variation is 4 .

b.

Expert Solution

To determine

Determine the value of degrees of freedom for within group variation.

Answer to Problem 1PS

The required value of degrees of freedom is 30.

Explanation of Solution

In a study, within group variation is measured between the data points of each group. The degree of freedom for within group variation can be calculated as:

Degrees of freedom=n−c

Here, n is the total number of data values and c is the number of groups.

Since, there are 5 groups with 7 values each, the total number of data values is:

5×7=35 .

Substitute n=35 in the above formula.

DF=n−c=35−5=30

Hence, the value of degrees of freedom for within group variation is 30 .

c.

Expert Solution

To determine

Determine the value of number of degrees for the total variation.

Answer to Problem 1PS

The required value of degrees of freedom is 34.

Explanation of Solution

The degree of freedom for the total variation can be calculated as:

DF=n−1

Here, n is the total number of data values. Since the total number of data values is 35, the value of degrees of freedom for the total variation is:

DF=n−1=35−1=34

Hence, the value of degrees of freedom is 34.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

a.

Expert Solution

To determine

Determine the value of degrees of freedom for among group variation.

Answer to Problem 1PS

The required value of degrees of freedom is 4.

Explanation of Solution

In a study, among group variation is measured between groups of the data. The degree of freedom for among group variation can be calculated as:

Degrees of freedom=c−1

Here, c is the number of groups present in the data set. Since 5 groups have been compared in the study, substitute n=5 in the above formula.

DF=c−1=5−1=4

Hence, the value of degrees of freedom for among group variation is 4 .

b.

Expert Solution

To determine

Determine the value of degrees of freedom for within group variation.

Answer to Problem 1PS

The required value of degrees of freedom is 30.

Explanation of Solution

In a study, within group variation is measured between the data points of each group. The degree of freedom for within group variation can be calculated as:

Degrees of freedom=n−c

Here, n is the total number of data values and c is the number of groups.

Since, there are 5 groups with 7 values each, the total number of data values is:

5×7=35 .

Substitute n=35 in the above formula.

DF=n−c=35−5=30

Hence, the value of degrees of freedom for within group variation is 30 .

c.

Expert Solution

To determine

Determine the value of number of degrees for the total variation.

Answer to Problem 1PS

The required value of degrees of freedom is 34.

Explanation of Solution

The degree of freedom for the total variation can be calculated as:

DF=n−1

Here, n is the total number of data values. Since the total number of data values is 35, the value of degrees of freedom for the total variation is:

DF=n−1=35−1=34

Hence, the value of degrees of freedom is 34.

Answer 8

a.

Expert Solution

To determine

Determine the value of degrees of freedom for among group variation.

Answer to Problem 1PS

The required value of degrees of freedom is 4.

Explanation of Solution

In a study, among group variation is measured between groups of the data. The degree of freedom for among group variation can be calculated as:

Degrees of freedom=c−1

Here, c is the number of groups present in the data set. Since 5 groups have been compared in the study, substitute n=5 in the above formula.

DF=c−1=5−1=4

Hence, the value of degrees of freedom for among group variation is 4 .

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

Determine the value of degrees of freedom for among group variation.

Answer 13

Answer to Problem 1PS

The required value of degrees of freedom is 4.

Answer 14

Explanation of Solution

In a study, among group variation is measured between groups of the data. The degree of freedom for among group variation can be calculated as:

Degrees of freedom=c−1

Here, c is the number of groups present in the data set. Since 5 groups have been compared in the study, substitute n=5 in the above formula.

DF=c−1=5−1=4

Hence, the value of degrees of freedom for among group variation is 4 .

Answer 15

b.

Expert Solution

To determine

Determine the value of degrees of freedom for within group variation.

Answer to Problem 1PS

The required value of degrees of freedom is 30.

Explanation of Solution

In a study, within group variation is measured between the data points of each group. The degree of freedom for within group variation can be calculated as:

Degrees of freedom=n−c

Here, n is the total number of data values and c is the number of groups.

Since, there are 5 groups with 7 values each, the total number of data values is:

5×7=35 .

Substitute n=35 in the above formula.

DF=n−c=35−5=30

Hence, the value of degrees of freedom for within group variation is 30 .

Answer 16

b.

Expert Solution

Answer 17

b.

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

Determine the value of degrees of freedom for within group variation.

Answer 20

Answer to Problem 1PS

The required value of degrees of freedom is 30.

Answer 21

Explanation of Solution

In a study, within group variation is measured between the data points of each group. The degree of freedom for within group variation can be calculated as:

Degrees of freedom=n−c

Here, n is the total number of data values and c is the number of groups.

Since, there are 5 groups with 7 values each, the total number of data values is:

5×7=35 .

Substitute n=35 in the above formula.

DF=n−c=35−5=30

Hence, the value of degrees of freedom for within group variation is 30 .

Answer 22

c.

Expert Solution

To determine

Determine the value of number of degrees for the total variation.

Answer to Problem 1PS

The required value of degrees of freedom is 34.

Explanation of Solution

The degree of freedom for the total variation can be calculated as:

DF=n−1

Here, n is the total number of data values. Since the total number of data values is 35, the value of degrees of freedom for the total variation is:

DF=n−1=35−1=34

Hence, the value of degrees of freedom is 34.

Answer 23

c.

Expert Solution

Answer 24

c.

Expert Solution

Answer 25

Expert Solution

Answer 26

To determine

Determine the value of number of degrees for the total variation.

Answer 27

Answer to Problem 1PS

The required value of degrees of freedom is 34.

Answer 28

Explanation of Solution

The degree of freedom for the total variation can be calculated as:

DF=n−1

Here, n is the total number of data values. Since the total number of data values is 35, the value of degrees of freedom for the total variation is:

DF=n−1=35−1=34

Hence, the value of degrees of freedom is 34.

Answer 29

Ch. 11 - An experiment has a single factor with five groups...Ch. 11 - You are working with the same experiment as in...Ch. 11 - You are working with the same experiment as in...Ch. 11 - Consider an experiment with three groups, with...Ch. 11 - Prob. 5PS Ch. 11 - You are working the same experiment as in Problem...Ch. 11 - One of the steps involved in the processing of...Ch. 11 - The more costly and time-consuming it is to export...Ch. 11 - A hospital conducted a study of the waiting time...Ch. 11 - A manufacturer of pens has hired an advertising...

Concept explainers

Videos

Answer to Problem 1PS

Explanation of Solution

Answer to Problem 1PS

Explanation of Solution

Answer to Problem 1PS

Explanation of Solution

Want to see more full solutions like this?

Chapter 11 Solutions