Deck 24: The Randomized Block Design

Question 1

Referring to Table 11-10,using an overall level of significance of 0.01,what is the critical range for the Tukey multiple comparison procedure?

Answer 1

2.51

Question 2

TABLE 11-10
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.Treating this as a randomized block design,the results are presented in the table that follows.
Referring to Table 11-10,what is the critical value of the randomized block F test for the difference in the means at a level of significance of 0.01?

Answer 2

8.65

Question 3

TABLE 11-10
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.Treating this as a randomized block design,the results are presented in the table that follows.
Referring to Table 11-10,the value of MSA is ________,while MSBL is ________.

Answer 3

41.19; 6.11

Question 4

True or False: Referring to Table 11-10,the randomized block F test is valid only if the population of crop yields is normally distributed for the 3 varieties.

Question 5

True or False: Referring to Table 11-10,the null hypothesis for the randomized block F test for the difference in the means should be rejected at a 0.01 level of significance.

Question 6

True or False: Referring to Table 11-10,the randomized block F test is valid only if the population of crop yields has the same variance for the 3 varieties.

Question 7

Referring to Table 11-10,using an overall level of significance of 0.01,what is the critical value of the Studentized range Q used in calculating the critical range for the Tukey multiple comparison procedure?

Question 8

True or False: Referring to Table 11-10,the decision made at a 0.01 level of significance on the randomized block F test for the difference in means implies that all 3 means are significantly different.

Question 9

TABLE 11-10
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.Treating this as a randomized block design,the results are presented in the table that follows.
Referring to Table 11-10,what is the value of the test statistic for the randomized block F test for the difference in the means?

Question 10

TABLE 11-10
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.Treating this as a randomized block design,the results are presented in the table that follows.
Referring to Table 11-10,the null hypothesis for the randomized block F test for the difference in the means is

A)H₀ : μ_Field1 = μ_Field2 = μ_Field3 = μ_Field4 = μ_Field5
B)H₀ : μ_Smith = μ_Walsh = μ_Trevor
C)H₀ : M_Field1 = M_Field2 = M_Field3 = M_Field4 = M_Field5
D)H₀ : M_Smith = M_Walsh = M_Trevor

Question 11

True or False: Referring to Table 11-10,based on the Tukey-Kramer procedure with an overall level of significance of 0.01,the agronomist would decide that there is a significant difference between the crop yield of Smith and Trevor seeds.

Question 12

TABLE 11-10
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.Treating this as a randomized block design,the results are presented in the table that follows.
Referring to Table 11-10,the among-group variation or SSA is ________.

Question 13

Referring to Table 11-10,the agronomist decided to compare the 3 treatment means by using the Tukey multiple comparison procedure with an overall level of significance of 0.01.How many pairwise comparisons can be made?

Question 14

TABLE 11-10
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.Treating this as a randomized block design,the results are presented in the table that follows.
Referring to Table 11-10,what is the p-value of the test statistic for the randomized block F test for the difference in the means?

Question 15

True or False: Referring to Table 11-10,based on the Tukey multiple comparison procedure with an overall level of significance of 0.01,the agronomist would decide that there is a significant difference between the crop yield of Smith and Walsh seeds.

Question 16

TABLE 11-10
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.Treating this as a randomized block design,the results are presented in the table that follows.
Referring to Table 11-10,the among-block variation or SSBL is ________.

Question 17

TABLE 11-10
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.Treating this as a randomized block design,the results are presented in the table that follows.
Referring to Table 11-10,the agronomist decided to perform a randomized block F test for the difference in the means.The amount of total variation or SST is ________.

Question 18

TABLE 11-10
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.Treating this as a randomized block design,the results are presented in the table that follows.
Referring to Table 11-10,what are the degrees of freedom of the randomized block F test for the difference in the means at a level of significance of 0.01?

Question 19

True or False: Referring to Table 11-10,based on the Tukey multiple comparison procedure with an overall level of significance of 0.01,the agronomist would decide that there is a significant difference between the crop yield of Walsh and Trevor seeds.

Question 20

True or False: Referring to Table 11-10,the randomized block F test is valid only if there is no interaction between the variety of seeds and the patches of fields.

Question 21

Referring to Table 11-10,what is the null hypothesis for testing the block effects?

A)H₀ : μ_Field1 = μ_Field2 = μ_Field3 = μ_Field4 = μ_Field5
B)H₀ : μ_Smith = μ_Walsh = μ_Trevor
C)H₀ : M_Field1 = M_Field2 = M_Field3 = M_Field4 = M_Field5
D)H₀ : M_Smith = M_Walsh = M_Trevor

Question 22

Referring to Table 11-10,what is the value of the F test statistic for testing the block effects?

Question 23

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,the amount of total variation or SST is ________.

Question 24

Referring to Table 11-10,what is the critical value for testing the block effects at a 0.01 level of significance?

Question 25

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
True or False: Referring to Table 11-11,the null hypothesis for the randomized block F test for the difference in the means should be rejected at a 0.05 level of significance.

Question 26

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,what is the value of the test statistic for the randomized block F test for the difference in the means?

Question 27

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,what is the critical value of the randomized block F test for the difference in the means at a level of significance of 0.05?

Question 28

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,the among-group variation or SSA is ________.

Question 29

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,the among-block variation or SSBL is ________.

Question 30

True or False: Referring to Table 11-10,the relative efficiency means that 2.47 times as many observations in each variety group would be needed in a one-way ANOVA design as compared to the randomized block design in order to obtain the same precision for comparison of the variety means.

Question 31

True or False: Referring to Table 11-10,the null hypothesis for the F test for the block effects should be rejected at a 0.01 level of significance.

Question 32

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,what are the degrees of freedom of the randomized block F test for the difference in the means at a level of significance of 0.01?

Question 33

Referring to Table 11-10,what is the p-value of the F test statistic for testing the block effects?

Question 34

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,the null hypothesis for the randomized block F test for the difference in the means is

A)H₀ : μ_A = μ_B = μ_C = μ_D
B)H₀ : μ_Kyle = μ_Sarah = μ_Leigh = μ_Isaac
C)H₀ : M_A = M_B = M_C = M_D
D)H₀ : M_Kyle= M_Sarah = M_Leigh = M_Isaac

Question 35

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,what is the p-value of the test statistic for the randomized block F test for the difference in the means?

Question 36

True or False: Referring to Table 11-10,the decision made at a 0.01 level of significance on the F test for the block effects implies that the blocking has been advantageous in reducing the experiment error.

Question 37

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,the value of MSA is ________,while MSBL is ________.

Question 38

Referring to Table 11-10,what is the estimated relative efficiency?

Question 39

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
True or False: Referring to Table 11-11,the decision made at a 0.05 level of significance on the randomized block F test for the difference in means implies that all 4 means are significantly different.

Question 40

Referring to Table 11-10,what are the degrees of freedom of the F test statistic for testing the block effects?

Question 41

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,the null hypothesis for the randomized block F test for the difference in the means is

A)H₀ : μ_A = μ_B = μ_C
B)H₀ : μ₁ = μ₂ = μ₃ = μ₄ = μ₅
C)H₀ : M_A = M_B = M_C
D)H₀ : M₁ = M₂ = M₃ = M₄ = M₅

Question 42

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
True or False: Referring to Table 11-11,the randomized block F test is valid only if the population of diameters has the same variance for the 4 brands.

Question 43

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.Which of the following tests will be the most appropriate to find out if the different patches is advantageous in reducing the random error?

A)One-way ANOVA F test for differences among more than two means
B)Randomized block F test for differences among more than two means
C)Randomized block F test for block effect
D)Two-way ANOVA F test for the variety effect

Question 44

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,the among-block variation or SSBL is ________.

Question 45

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
True or False: Referring to Table 11-11,the null hypothesis for the F test for the block effects should be rejected at a 0.05 level of significance.

Question 46

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,what is the estimated relative efficiency?

Question 47

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,what is the value of the F test statistic for testing the block effects?

Question 48

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
True or False: Referring to Table 11-11,the randomized block F test is valid only if the population of diameters is normally distributed for the 4 brands.

Question 49

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,what are the degrees of freedom of the F test statistic for testing the block effects?

Question 50

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.Which of the following tests will be the most appropriate to find out if there is any difference in crop yield among the 3 varieties?

A)Randomized block F test for block effect
B)One-way ANOVA F test for differences among more than two means
C)Randomized block F test for differences among more than two means
D)Two-way ANOVA F test for the variety effect

Question 51

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,the among-group variation or SSA is ________.

Question 52

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
True or False: Referring to Table 11-11,the randomized block F test is valid only if there is no interaction between the diameters of the 4 brands of bubble gums and the 4 abilities of the students.

Question 53

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,is it appropriate to use the Tukey multiple comparison procedure based on the test result above?

Question 54

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,what is the null hypothesis for testing the block effects?

A)H₀ : μ_A = μ_B = μ_C = μ_D
B)H₀ : μ_Kyle = μ_Sarah = μ_Leigh = μ_Isaac
C)H₀ : M_A = M_B = M_C = M_D
D)H₀ : M_Kyle = M_Sarah = M_Leigh = M_Isaac

Question 55

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,the value of MSA is ________,while MSBL is ________.

Question 56

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
True or False: Referring to Table 11-11,the relative efficiency means that 1.0144 times as many observations in each brand would be needed in a one-way ANOVA design as compared to the randomized block design in order to obtain the same precision for comparison of the different means.

Question 57

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,what is the p-value of the F test statistic for testing the block effects?

Question 58

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
Referring to Table 11-11,what is the critical value for testing the block effects at a 0.05 level of significance?

Question 59

TABLE 11-11
A student team in a business statistics course designed an experiment to investigate whether the brand of bubblegum used affected the size of bubbles they could blow.To reduce the person-to-person variability,the students decided to use a randomized block design using themselves as blocks.
Four brands of bubblegum were tested.A student chewed two pieces of a brand of gum and then blew a bubble,attempting to make it as big as possible.Another student measured the diameter of the bubble at its biggest point.The following table gives the diameters of the bubbles (in inches)for the 16 observations.
True or False: Referring to Table 11-11,the decision made at a 0.05 level of significance on the F test for the block effects implies that the blocking has been advantageous in reducing the experiment error.

Question 60

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,the amount of total variation or SST is ________.

Question 61

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
True or False: Referring to Table 11-8,the randomized block F test is valid only if the population of the amount of time needed has the same variance for the 3 brands.

Question 62

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,what is the value of the test statistic for the randomized block F test for the difference in the means?

Question 63

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
True or False: Referring to Table 11-8,there is evidence of a significant difference in the mean amount of time needed to learn Brand A and Brand B at the 5% level of significance.

Question 64

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
True or False: Referring to Table 11-8,there is evidence of a significant difference in the mean amount of time needed to learn Brand B and Brand C at the 5% level of significance.

Question 65

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,what is the p-value of the test statistic for the randomized block F test for the difference in the means?

Question 66

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
True or False: Referring to Table 11-8,the randomized block F test is valid only if there is no interaction between the amount of time needed on the 3 brands of software and the 5 employees.

Question 67

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,what are the degrees of freedom of the Studentized range distribution for the Tukey multiple comparison procedure?

Question 68

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
True or False: Referring to Table 11-8,the decision made at a 0.05 level of significance on the randomized block F test for the difference in means implies that all 3 means are significantly different from each other.

Question 69

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,what is the critical value for testing the block effects at a 0.05 level of significance?

Question 70

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,what is the critical range of the Studentized range distribution for the Tukey multiple comparison procedure at the 5% level of significance?

Question 71

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,what is the upper-tail critical value of the Studentized range distribution for the Tukey multiple comparison procedure at the 5% level of significance?

Question 72

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,what is the value of the F test statistic for testing the block effects?

Question 73

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,what is the critical value of the randomized block F test for the difference in the means at a level of significance of 0.05?

Question 74

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,what are the degrees of freedom of the F test statistic for testing the block effects?

Question 75

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,what are the degrees of freedom of the randomized block F test for the difference in the means at a level of significance of 0.05?

Question 76

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
True or False: Referring to Table 11-8,it is appropriate to use the Tukey multiple comparison procedure based on the test result above.

Question 77

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
True or False: Referring to Table 11-8,there is evidence of a significant difference in the mean amount of time needed to learn Brand A and Brand C at the 5% level of significance.

Question 78

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
True or False: Referring to Table 11-8,the null hypothesis for the randomized block F test for the difference in the means should be rejected at a 0.05 level of significance.

Question 79

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
Referring to Table 11-8,what is the null hypothesis for testing the block effects?

A)H₀ : μ_A = μ_B = μ_C
B)H₀ : μ₁ = μ₂ = μ₃ = μ₄ = μ₅
C)H₀ : M_A = M_B = M_C
D)H₀ : M₁ = M₂ = M₃ = M₄ = M₅

Question 80

TABLE 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below: Below is the Excel output for the randomized block design:
True or False: Referring to Table 11-8,the randomized block F test is valid only if the population of the amount of time needed is normally distributed for the 3 brands.