Question 1

A randomized block design with 4 treatments and 5 blocks produced the following sum of squares values: SS(Total) = 2000, SST = 400, SSE = 200. The value of MSB must be 350.

Accepted Answer

A) True 
 B)False

Question 2

The analysis of variance is a procedure that allows statisticians to compare two or more population:

Accepted Answer

A) proportions. 
B) means. 
C) variances. 
D) standard deviations.

Question 3

When the effect of a level for one factor depends on which level of another factor is present, the most appropriate ANOVA design to use in this situation is the:

Accepted Answer

A) One-way ANOVA with 2 treatments. 
B) Two-factor ANOVA with interaction. 
C) Two-factor ANOVA with no interaction. 
D) None of these choices.

Question 4

A complete factorial experiment is an experiment in which the number of replicates is the same for each treatment on which data is collected.

Accepted Answer

A) True 
 B)False

Question 5

NARRBEGIN: Motorcycle Repair Cost
Motorcycle Repair Cost
Motorcycle insurance appraisers examine motorcycles that have been involved in accidental collisions and estimate the cost of repairs. An insurance executive claims that there are significant differences in the estimates from different appraisers. To support his claim he takes a random sample of six motorcycles that have recently been damaged in accidents. Three appraisers then estimate the repair costs of all six motorcycles. The data are shown below. $$\begin{array}{l}
\text { Bstimatad Repair Cost }\
\begin{array} { | c | c c c | } 
\hline \text { Motorcycles } & \text { Appraiser 1 } & \text { Appraiser 2 } & \text { Appraiser 3 } \
\hline 1 & 650 & 600 & 750 \
2 & 930 & 910 & 1010 \
3 & 440 & 450 & 500 \
4 & 750 & 710 & 810 \
5 & 1190 & 1050 & 1250 \
6 & 1560 & 1270 & 1450 \
\hline
\end{array}
\end{array}$$ NARREND
-{Motorcycle Repair Cost Narrative} Can we infer at the 5% significance level that the executive's claim is true?

Accepted Answer

The answer of NARRBEGIN: Motorcycle Repair Cost
Motorcycle Repair Cost
Motorcycle insurance...

Question 6

A(n) ____________________ experiment requires that the sample size for each treatment be equal.

Accepted Answer

The answer of A(n) ____________________ experiment requires that the sample...

Question 7

The F-test of a randomized block design of the analysis of variance has the same requirements as the independent samples design; that is, the random variable must be ____________________ distributed and the population ____________________ must be equal.

Accepted Answer

The answer of The F-test of a randomized block design...

Question 8

SSE in the independent samples design is equal to the sum of SSB and SSE in the randomized block design.

Accepted Answer

A) True 
 B)False

Question 9

Which of the following is not true of Tukey's Multiple Comparison Method?

Accepted Answer

A) It is based on the studentized range statistic to obtain the critical value needed to construct individual confidence intervals. 
B) It theoretically requires that all sample sizes be equal, or at least similar. 
C) It is more powerful than the LSD method. 
D) All of these choices are true.

Question 10

NARRBEGIN: GMAT Scores
GMAT Scores
A recent college graduate is in the process of deciding which one of three graduate schools he should apply to. He decides to judge the quality of the schools on the basis of the Graduate Management Admission Test (GMAT) scores of those who are accepted into the school. A random sample of six students in each school produced the following GMAT scores. Assume that the data are normally distributed with equal variances for each school. $$\begin{array}{l}
\text { GMAT Scores }\
\begin{array} { c c c } 
\hline \text { School 1 } & \text { School 2 } & \text { School 3 } \
\hline 650 & 105 & 590 \
620 & 550 & 510 \
630 & 700 & 520 \
580 & 630 & 500 \
710 & 600 & 490 \
690 & 650 & 530 \
\hline
\end{array}
\end{array}$$ NARREND
-{GMAT Scores Narrative} Set up the ANOVA Table. Use $\alpha$ = 0.05 to determine the critical value.

Accepted Answer

The answer of NARRBEGIN: GMAT Scores
GMAT Scores
A recent college graduate...

Question 11

The F-test of the randomized block design of the analysis of variance has the same requirements as the independent samples design; that is, the random variable must be normally distributed and the population variances must be equal.

Accepted Answer

A) True 
 B)False

Question 12

NARRBEGIN: Gold Funds
Gold Funds
An investor studied the percentage rates of return of three different gold funds. Random samples of percentage rates of return for four periods were taken from each fund. The results appear in the table below:
 $$\begin{array}{l}
\text { Gold Funds Percentage Rates }\
\begin{array} { | c c c | } 
\hline \text { Fund 1 } & \text { Fund 2 } & \text { Fund 3 } \
\hline 12 & 4 & 9 \
15 & 8 & 3 \
13 & 6 & 5 \
14 & 5 & 7 \
17 & 4 & 4 \
\hline
\end{array}
\end{array}$$ NARREND
-{Gold Funds Narrative} Test at the 5% significance level to determine whether the mean percentage rates for the three funds differ.

Accepted Answer

The answer of NARRBEGIN: Gold Funds
Gold Funds
An investor studied the...

Question 13

The sum of squares for error is also known as the between-treatments variation.

Accepted Answer

A) True 
 B)False

Question 14

Fisher's least significant difference (LSD) multiple comparison method is flawed because

Accepted Answer

A) it will increase $\beta$; the probability of committing a Type II error 
B) it will increase$\alpha$; the probability of committing a Type I error 
C) it will increase both $\alpha$ and $\beta$, the probabilities of committing Type I and Type II errors, respectively. 
D) None of these choices.

Question 15

NARRBEGIN: Keyboard Configuration an
Keyboard Configuration and Size
The data shown below were taken from a 2 * 3 factorial experiment to examine the effects of factor A (keyboard configuration, 3 levels) and factor B (keyboard size, 2 levels) on typing speed. Each cell consists of the times needed for each of 4 randomly assigned keyboardists to type a standard document under each set of conditions (in minutes). $$\begin{array}{l}
                   \text { Factor } B\
\begin{array} { | c | c c | } 
\hline \text { Factor } A & 1 & 2 \
\hline 1 & 26 & 24 \
& 19 & 21 \
& 20 & 20 \
 & 21 & 23 \
2& 30 & 33 \
& 24 & 27 \
& 25 & 31 \
& 29 & 29 \
3& 26 & 31 \
& 22 & 23 \
& 27 & 24 \
& 17 & 26 \
\hline
\end{array}
\end{array}$$ NARREND
-{Keyboard Configuration and Size Narrative} Test at the 5% significance level to determine if time differences exist among the keyboard sizes.

Accepted Answer

The answer of NARRBEGIN: Keyboard Configuration an
Keyboard Configuration and Size
The...

Question 16

NARRBEGIN: Sub Sandwich Customers
Sub Sandwich Customers
The marketing manager of a Sub Shop chain is in the process of examining some of the demographic characteristics of her customers. In particular, she would like to investigate the belief that the ages of the customers of Sub Shops, hamburger emporiums, and fast-food chicken restaurants are different. The ages of eight randomly selected customers of each of the restaurants are recorded and listed below. From previous analyses we know that the ages are normally distributed with equal variances for each group. $$\begin{array}{l}
\text { Customers' Agas }\
\begin{array} { | c c c | } 
\hline \text { Subs } & \text { Hamburaer } & \text { Chicken } \
\hline 23 & 26 & 25 \
19 & 20 & 28 \
25 & 18 & 36 \
17 & 35 & 23 \
36 & 33 & 39 \
25 & 25 & 27 \
28 & 19 & 38 \
31 & 17 & 31 \
\hline
\end{array}
\end{array}$$ NARREND
-{Sub Sandwich Customers Narrative} Do these data provide enough evidence at the 5% significance level to infer that there are differences in ages among the customers of the three restaurants?

Accepted Answer

The answer of NARRBEGIN: Sub Sandwich Customers
Sub Sandwich Customers
The marketing...

Question 17

The test of whether the block means differ uses an F-test whose test statistic is ____________________ divided by ____________________.

Accepted Answer

The answer of The test of whether the block means...

Question 18

We use the analysis of variance (ANOVA) technique to compare two or more population means.

Accepted Answer

A) True 
 B)False

Question 19

When the problem objective is to compare more than two populations, the experimental design that is the counterpart of the matched pairs experiment is called the randomized block design.

Accepted Answer

A) True 
 B)False

Question 20

NARRBEGIN: GMAT Scores
GMAT Scores
A recent college graduate is in the process of deciding which one of three graduate schools he should apply to. He decides to judge the quality of the schools on the basis of the Graduate Management Admission Test (GMAT) scores of those who are accepted into the school. A random sample of six students in each school produced the following GMAT scores. Assume that the data are normally distributed with equal variances for each school. $$\begin{array}{l}
\text { GMAT Scores }\
\begin{array} { c c c } 
\hline \text { School 1 } & \text { School 2 } & \text { School 3 } \
\hline 650 & 105 & 590 \
620 & 550 & 510 \
630 & 700 & 520 \
580 & 630 & 500 \
710 & 600 & 490 \
690 & 650 & 530 \
\hline
\end{array}
\end{array}$$ NARREND
-In a completely randomized design, 12 experimental units were assigned to the first treatment, 15 units to the second treatment, and 18 units to the third treatment. A partial ANOVA table is shown below:
 $$\begin{array} { | l | c c c c | } 
\hline \text { Source of Variation } & \mathbf { SS} & \boldsymbol { df } & \mathbf { M S } & \boldsymbol { F } \
\hline \text { Treatments } & * & * & * & 9 \
\text { Error } & * & * & 35 & \
\hline \text { Total } & * & * & & \
\hline
\end{array}$$ 
a.Fill in the blanks (identified by asterisks) in the above ANOVA table.
b.Test at the 5% significance level to determine if differences exist among the three treatment means.

Accepted Answer

The answer of NARRBEGIN: GMAT Scores
GMAT Scores
A recent college graduate...

Exam 14: Analysis of Variance

A randomized block design with 4 treatments and 5 blocks produced the following sum of squares values: SS(Total) = 2000, SST = 400, SSE = 200. The value of MSB must be 350.

The analysis of variance is a procedure that allows statisticians to compare two or more population:

When the effect of a level for one factor depends on which level of another factor is present, the most appropriate ANOVA design to use in this situation is the:

A complete factorial experiment is an experiment in which the number of replicates is the same for each treatment on which data is collected.

A(n) ____________________ experiment requires that the sample size for each treatment be equal.

The F-test of a randomized block design of the analysis of variance has the same requirements as the independent samples design; that is, the random variable must be distributed and the population must be equal.

SSE in the independent samples design is equal to the sum of SSB and SSE in the randomized block design.

Which of the following is not true of Tukey's Multiple Comparison Method?

The F-test of the randomized block design of the analysis of variance has the same requirements as the independent samples design; that is, the random variable must be normally distributed and the population variances must be equal.

The sum of squares for error is also known as the between-treatments variation.

Fisher's least significant difference (LSD) multiple comparison method is flawed because

The test of whether the block means differ uses an F-test whose test statistic is divided by .

We use the analysis of variance (ANOVA) technique to compare two or more population means.

When the problem objective is to compare more than two populations, the experimental design that is the counterpart of the matched pairs experiment is called the randomized block design.