Question 1

A consumer interest group is interested in comparing the speed of four different desktop printers;four different documents are used for the experiment.Each test consists of randomly assigning one printer to one of the documents.The document is printed and the time to print in seconds is recorded.Each printer/document combination is tested.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?

Accepted Answer

D

Question 2

An industrial engineer wants to test the effect of three different ways of assembling a part on the total assembly time.Five people are randomly assigned to each of the three assembly methods,and the total assembly time (in seconds)is recorded.

Accepted Answer

B

Question 3

A mechanical engineer is studying bonding issues with the thermal protection tiles on the Space Shuttle.He wants to see whether there is any difference in the bonding strength between three different compounds.Fifteen tiles are randomly assigned to the three compounds so that each compound is tested on five tiles.Each tile is coated with its assigned compound and bonded to a surface.After a period of time,pull-tests are performed to determine the amount of force needed to break the bond.

Accepted Answer

D

Question 4

An independent research firm conducts a study to compare the taste of four new sports drinks.Five people are randomly assigned to each of the four drinks.Each person tastes the drink and judges it on a scale from one to five.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?

Accepted Answer

The answer of An independent research firm conducts a study...

Question 5

A consumer interest group is interested in comparing the speed of four different desktop printers;four different documents are used for the experiment.Each test consists of randomly assigning one printer to one of the documents.The document is printed and the time to print in seconds is recorded.Each printer/document combination is tested.

Accepted Answer

The answer of A consumer interest group is interested in...

Question 6

A mechanical engineer is studying bonding issues with the thermal protection tiles on the Space Shuttle.He wants to see whether there is any difference in the bonding strength between three different compounds.Fifteen tiles are randomly assigned to one of the three compounds so that each compound is tested on five tiles.Each tile is coated with its assigned compound and bonded to a surface.After a period of time,pull-tests are performed to determine the amount of force needed to break the bond.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?

Accepted Answer

The degrees of freedom for the treatment sum of squares (df-treatment) is calculated as the number of groups minus one, which is 3 - 1 = 2. The degrees of freedom for the error sum of squares (df-error) is calculated as the total number of observations minus the number of groups, which is 15 - 3 = 12.

Question 7

A hunting supply store is interested in knowing whether three different brands of goose decoys are equally effective in attracting geese.Each goose decoy is randomly assigned to five hunters,and the order of each experiment is also randomized.An experiment consists of a hunter using one goose decoy and waiting fifteen minutes.The number of geese attracted by the decoy is counted.

Accepted Answer

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Question 8

A chemist is interested in comparing four different catalysts by measuring reaction times.Each catalyst is tested five times,with each experiment randomly assigned one of the four catalysts.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?

Accepted Answer

The degrees of freedom for the treatment sum of squares is equal to the number of groups minus 1. In this case, there are 4 groups (catalysts), so the degrees of freedom for the treatment sum of squares is 4 - 1 = 3.

The degrees of freedom for the error sum of squares is equal to the total number of observations minus the number of groups. In this case, there are 4 groups and each group is tested 5 times, so there are a total of 20 observations. Therefore, the degrees of freedom for the error sum of squares is 20 - 4 = 16.

So the best choice is B: df-treatment = 3;df-error = 16.

Question 9

An electrical engineer wants to compare the resistance of four types of wire made from different materials.Five wires of equal lengths and cross sectional areas are prepared for each of the four wire types.Each section of wire is randomly tested by sending a current through the wire and measuring the resistance.

Accepted Answer

The null hypothesis in this situation is that all wire type mean resistances are equal. The alternative hypothesis is that not all the wire type mean resistances are equal, which is option E. This is because the engineer wants to compare the resistance of four types of wire made from different materials. Therefore, we need to test whether there is a significant difference between the mean resistance of each wire type. Option A is not correct because it assumes all wire type mean resistances are equal. Option B is not correct because it assumes that there is a significant difference between the mean resistance of each wire size. Option C is not correct because it assumes that both the wire type and wire size mean resistances are equal. Option D is not correct because it assumes that all wire size mean resistances are equal, which is not relevant to the research question.

Question 10

The Professional Golfer's Association (PGA)wants to know which brand of golf ball goes the farthest when hit by a driver.Three brands of golf balls are compared by using "Iron Byron" to randomly hit each brand of ball five times.The total distance in yards is measured after each ball comes to rest.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?

Accepted Answer

The degrees of freedom for the treatment sum of squares (df-treatment) is calculated as the number of groups minus one. Since there are three brands of golf balls, df-treatment = 3 - 1 = 2. The degrees of freedom for the error sum of squares (df-error) is calculated as the total number of observations minus the number of groups. With three brands and five shots each, there are 15 observations in total, so df-error = 15 - 3 = 12.

Question 11

An electrical engineer wants to compare the resistance of four types of wire made from different materials.Five wires of equal lengths and cross sectional areas are prepared for each of the four wire types.Each section of wire is randomly tested by sending a current through the wire and measuring the resistance.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?

Accepted Answer

The answer of An electrical engineer wants to compare the...

Question 12

The Professional Golfer's Association (PGA)wants to know which brand of golf ball goes the farthest when hit by a driver.Three brands of golf balls are compared by using "Iron Byron" to randomly hit each brand of ball five times.The total distance in yards is measured after each ball comes to rest.

Accepted Answer

The answer of The Professional Golfer's Association (PGA)wants to know...

Question 13

An independent research firm conducts a study to compare the taste of four new sports drinks.Five people are randomly assigned to each of the four drinks.Each person tastes the drink and judges it on a scale from one to five.

Accepted Answer

The answer of An independent research firm conducts a study...

Question 14

A horticulturist wants to test the effectiveness of four types of fertilizer on the growth rate of Bermuda grass.Six sections of grass are randomly assigned to each of the four fertilizer types,and the rate of growth for each section is measured.

Accepted Answer

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Question 15

A telemarketing company wants to compare the effectiveness of five of its employees by looking at the percentage of survey questions completed.Data from four past surveys are randomly chosen for each of the employees,and the percentage of completed questions is calculated.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?

Accepted Answer

The answer of A telemarketing company wants to compare the...

Question 16

A chemist is interested in comparing four different catalysts by measuring reaction times.Each catalyst is tested five times,with each experiment randomly assigned one of the four catalysts.

Accepted Answer

The answer of A chemist is interested in comparing four...

Question 17

A horticulturist wants to test the effectiveness of four types of fertilizer on the growth rate of Bermuda grass.Six sections of grass are randomly assigned to each of the four fertilizer types,and the rate of growth for each section is measured.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?

Accepted Answer

The answer of A horticulturist wants to test the effectiveness...

Question 18

A telemarketing company wants to compare the effectiveness of five of its employees by looking at the percentage of survey questions completed.Data from four past surveys are randomly chosen for each of the employees,and the percentage of completed questions is calculated.

Accepted Answer

The answer of A telemarketing company wants to compare the...

Question 19

An industrial engineer wants to test the effect of three different ways of assembling a part on the total assembly time.Five people are randomly assigned to each of the three assembly methods,and the total assembly time (in seconds)is recorded.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?

Accepted Answer

To calculate the degrees of freedom for the treatment sum of squares, we use df-treatment = k-1, where k is the number of treatment groups. Here, k = 3, so df-treatment = 3-1 = 2. To calculate the degrees of freedom for the error sum of squares, we use df-error = N-k, where N is the total number of observations and k is the number of treatment groups. Here, N = 15 and k = 3, so df-error = 15-3 = 12. Therefore, the correct answer is C.

Question 20

A hunting supply store is interested in knowing whether three different brands of goose decoys are equally effective in attracting geese.Each goose decoy is randomly assigned to five hunters,and the order of each experiment is also randomized.An experiment consists of a hunter using one goose decoy and waiting fifteen minutes.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?

Accepted Answer

The answer of A hunting supply store is interested in...

Quiz 27: Analysis of Variance

An industrial engineer wants to test the effect of three different ways of assembling a part on the total assembly time.Five people are randomly assigned to each of the three assembly methods,and the total assembly time (in seconds) is recorded.

A chemist is interested in comparing four different catalysts by measuring reaction times.Each catalyst is tested five times,with each experiment randomly assigned one of the four catalysts.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?

The Professional Golfer's Association (PGA) wants to know which brand of golf ball goes the farthest when hit by a driver.Three brands of golf balls are compared by using "Iron Byron" to randomly hit each brand of ball five times.The total distance in yards is measured after each ball comes to rest.

An independent research firm conducts a study to compare the taste of four new sports drinks.Five people are randomly assigned to each of the four drinks.Each person tastes the drink and judges it on a scale from one to five.

A horticulturist wants to test the effectiveness of four types of fertilizer on the growth rate of Bermuda grass.Six sections of grass are randomly assigned to each of the four fertilizer types,and the rate of growth for each section is measured.

A chemist is interested in comparing four different catalysts by measuring reaction times.Each catalyst is tested five times,with each experiment randomly assigned one of the four catalysts.

A telemarketing company wants to compare the effectiveness of five of its employees by looking at the percentage of survey questions completed.Data from four past surveys are randomly chosen for each of the employees,and the percentage of completed questions is calculated.