Chapter 12 Analysis of Variance True/False
1. The F distribution's distribution's curve is positively skewed. Difficulty: Difficult y: Medium Goal: 1 Answer: True
2. The test statistic used in !"# is Student's t . Difficulty: Difficulty: %asy Goal: 1 Answer: $alse
&. There is is one uni(ue F distribution distribution for a $)statistic with 2* de+rees of freedom in the numerator and 2, de+rees of freedom in the denominator. Difficulty: Difficult y: Medium Goal: 1 Answer: True AACSB: AS
-. "ne characteristic characteristic of the F distribution distribution is that F cannot cannot be ne+ative. Difficulty: Difficult y: %asy Goal: 1 Answer: True
. "ne characteristic characteristic of the F distribution distribution is that the computed F can can only ran+e between )1 and /1. Difficulty: Difficulty: %asy Goal: 1 Answer: $alse
0. The F distribution distribution is positively skewed and its values may ran+e from to plus infinity. infinity. Difficulty: Difficult y: %asy Goal: 1 Answer: True
. The shape shape of the F distribution distribution is determined by the de+rees of freedom for the F-statistic one for the numerator and one for the denominator. Difficulty: Difficult y: Medium Goal: 1 Answer: True
,. 3nlike 4tudent's t distribution distribution there is only one F distribution. distribution. Difficulty: Difficulty: %asy Goal: 1 Answer: $alse
*. 5ike 4tudent's t distribution distribution a chan+e in the de+rees of freedom causes a chan+e in the shape of the $ distribution. Difficulty: Difficult y: %asy Goal: 1 Answer: True
Test Test Bank, Chapter1*2 12
1. 6f the computed computed value of of F is is .** and the critical value is &.,* we would not re7ect the null hypothesis. Difficulty: Difficult y: Medium Goal: 2 Answer: True
11. $or the hypothesis hypothesis test 9 o : 8
2
1
=
8 2 2 with n1 1 and n 2 1 the $)test statistic statistic is 2.0. t the
.1 level of si+nificance we would re7ect the null hypothesis. Difficulty: Difficulty: 9ard Goal: 2 Answer: $alse AACSB: AS
12. $or the hypothesis test 9 o : 8
2
1
=
8 2 2 with n1 - and n 2 - the $)test statistic is .1. t the
.1 level of si+nificance we would re7ect the null hypothesis. Difficulty: Difficult y: 9ard Goal: 2 Answer: True
1&. $or the hypothesis test 9 o : 8
2
1
=
8 2 2 with n1 and n 2 the $)test statistic is 2.0. t the
. level of si+nificance we would re7ect the null hypothesis. Difficulty: Difficulty: 9ard Goal: 2 Answer: $alse
1-. $or the hypothesis test 9 o : 8
2
1
=
8 2 2 with n1 * and n 2 * the $)test statistic is -.&. t the
. level of si+nificance we would re7ect the null hypothesis. Difficulty: Difficult y: 9ard Goal: 2 Answer: True
1. To employ !"# !"# the populations bein+ studied must be appro;imately normall y distributed. Difficulty: Difficult y: %asy Goal: & Answer: True
10. To employ !"# !"# the populations should have appro;imately appro;imate ly e(ual standard deviations. Difficulty: Difficult y: %asy Goal: & Answer: True
1. 6n an !"# !"# table k represents represents the total number of sample observations and n represents the total number of treatments. Difficulty: Difficulty: Medium Goal: Answer: $alse
1,. 6n an !"# !"# table k represents represents the number of treatments b represents the number of blocks and n represents the total number of sample observations. Difficulty: Difficult y: Medium Goal: Answer: True
1*. The alternate hypothesis hypothes is used in !"# !"# is µ 1 = µ 2 = µ & .
Answer: $alse
1*&
Difficulty: Difficulty: Medium
Goal:
Test Test Bank, Chapter 12
Statistical Techniques in Business & Economics, ind!"archal!#athen, 1$!e
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2. The alternate hypothesis for !"# states that not all the means are e(ual. Difficulty: Medium Goal: Answer: True
21. $or an !"# test re7ection of the null hypothesis does not identify which treatment means differ si+nificantly. Difficulty: Medium Goal: Answer: True AACSB: AS
22. 6f the computed value of F is -.1 and the critical value is 2.0 we would conclude that all the population means are e(ual. Difficulty: Medium Goal: Answer: $alse
2&. 6f the computed value of F is 11.1 and the . level is used we would assume that a mistake in arithmetic has been made. Difficulty: Medium Goal: Answer: $alse
2-. 6f we want to determine which treatment means differ we compute a confidence interval for the difference between each pair of means. Difficulty: %asy Goal: 0 Answer: True
2. 6f a confidence interval for the difference between a pair of treatment means includes then there is no difference in the pair of treatment means. Difficulty: Medium Goal: 0 Answer: True
20. 6f the endpoints of a confidence interval for the difference between a pair of treatment means are both positive numbers then the treatment means are not different. Difficulty: Medium Goal: 0 Answer: $alse
2. treatment is a specific source of variation in a set of data. Difficulty: Medium Goal: Answer: True
2,. blockin+ effect is a specific source of variation in a set of data. Difficulty: Medium Goal: Answer: True
2*.
1*
Test Bank, Chapter 12
&.
&1.
&2. The $)statistic to test for a blockin+ effect is computed as the ratio of the Treatment Mean 4(uare and the =lock Mean 4(uare. Difficulty: 9ard Goal: Answer: $alse
&&. 6n a two)way !"# the sum of the treatment block and error de+rees of freedom e(ual the total de+rees of freedom. Difficulty: Medium Goal: Answer: True
&-. 6n a two)way !"# the sum of the treatment and block mean s(uares e(uals the error mean s(uare. Difficulty: Medium Goal: Answer: $alse
&. 6n a two)way !"# the sum of the treatment block and error sum of s(uares e(uals the total sum of s(uares. Difficulty: Medium Goal: Answer: True
&0. 6n a two)way !"# with interaction there are two factor effects and an interaction effect. nswer: True Difficulty: Medium Goal: ,
&. 6n a two)way !"# with treatment and block effects an interaction effect is also included. nswer: $alse Difficulty: 9ard Goal: ,
&,. 6n an interaction plot parallel lines are an indication that there is no interaction effect. nswer: True Difficulty: Medium Goal: ,
&*. 6nteraction between two factors occurs when the effect of one factor on the response variable is the same for any value of another factor. nswer: $alse Difficulty: 9ard Goal: ,
Statistical Techniques in Business & Economics, ind!"archal!#athen, 1$!e
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Multiple Choice
-. n F statistic is: > a ratio of two means. => a ratio of two variances. ?> the difference between three means. D> a population parameter. Difficulty: %asy Goal: 1 Answer: =
-1. =inomial => !ormal ?> Boisson D> %;ponential Difficulty: Medium Goal: 1 Answer: = AACSB: AS
-2. ?annot be ne+ative => ?annot be positive ?> 6s the same as the t distribution D> 6s the same as the % distribution Difficulty: Medium Goal: 1 Answer:
-&. nalysis of variance is used to > compare nominal data. => compute t test. ?> compare population proportion. D> simultaneously compare several population means. Difficulty: Medium Goal: & Answer: D
--. lar+e department store e;amined a sample of the 1, credit card sales and recorded the amounts char+ed for each of three types of credit cards: Master?ard #isa and Discover. 4i; Master?ard sales seven #isa and five Discover sales were recorded. The store used !"# to test if the mean sales for each credit card were e(ual. 1, in the numerator & in the denominator => & in the numerator 1, in the denominator ?> 2 in the numerator 1 in the denominator D> 0 in the numerator 1 in the denominator Difficulty: Medium Goal: Answer: ? AACSB: AS
1*
Test Bank, Chapter 12
-. 4uppose that an automobile manufacturer desi+ned a radically new li+htwei+ht en+ine and wants to recommend the +rade of +asoline that will have the best fuel economy. The four +rades are: re+ular below re+ular premium and super premium. The test car made three trial runs on the test track usin+ each of the four +rades and the miles per +allon recorded. t the . level what is the critical value of F used to test the hypothesis that the miles per +allon for each fuel is the same.
e + u la r & * .& 1 & * ., & * ., > => ?> D>
C ilo m e t e rs p e r lite r = e lo w e + u la r B r e m iu m & 0 .0 * & , .* * - . - . 2 - 1 . 1 & * .* *
4 u p e r B r em iu m - . & * ., * & * .* &
1.*0 -. 2.&& 12.
Answer: =
Difficulty: Medium
Goal: -
-0. Three different fertili@ers were applied to a field of celery. 6n computin+ F how many de+rees of freedom are there in the numeratorA > => 1 ?> 2 D> & Difficulty: Medium Goal: Answer: ?
-. 4uppose a packa+e delivery company purchased 1- trucks at the same time. $ive trucks were purchased from manufacturer four from = and five from manufacturer ?. The cost of maintainin+ each truck was recorded. The company used !"# to test if the mean maintenance cost of the trucks from each manufacturer were e(ual. To apply the F test how many de+rees of freedom are in the denominatorA > 2 => & ?> 11 D> 1Difficulty: Medium Goal: Answer: ?
Statistical Techniques in Business & Economics, ind!"archal!#athen, 1$!e
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-,. 6n an effort to determine the most effective way to teach safety principles to a +roup of employees four different methods were tried. 4ome employees were +iven pro+rammed instruction booklets and worked throu+h the course at their own pace. "ther employees attended lectures. third +roup watched a television presentation and a fourth +roup was divided into small discussion +roups. hi+h of 1 was possible. sample of five tests was selected from each +roup. The test +rade results were:
4 a m p le ! u m b e r 1 2 &
B r o + r a m m e d 6 n s tr u c ti o n 0 0 0
5 e c tu r e , , 0 ,
T# * 0 ,
G ro u p D is c u s sio n , 0 0
t the .1 level what is the critical valueA > 1. => 1.*0 ?> &.2D> .2* Difficulty: Medium Goal: Answer: D
-*. 6n !"# an F statistic is used to test a null hypothesis such as: > 9 o : 8
2
1
=
822
=
=> 9 o : 8
2
8 2&
1
≠
822
≠ σ &
2
?> 9 o : E 1 = E 2 = E & D> 9 o : E 1 ≠ E 2 ≠ E &
Answer: ?
Difficulty: %asy
Goal: -
. n electronics company wants to compare the (uality of their cell phones to the cell phones from three competitors. They sample 1 phones from each company and count the number of defects for each phone. 6f !"# were used to compare the avera+e number of defects the treatments would be defined as: > the number of cell phones sampled. => the avera+e number of defects. ?> The total number of phones D> The four companies. Difficulty: %asy Goal: Answer: D
1**
Test Bank, Chapter 12
1. 4everal employees have submitted different methods of assemblin+ a subassembly. 4ample data for each method are:
4 a m p le ! u m b e r 1 2 &
5 in d 's M e th o d 1 0 .0 1 . 1 0 .*
9ow many treatments are thereA > & => ?> 12 D> Difficulty: Medium Answer: =
M in u te s e ( u ire d o r s se m b ly 4 @ a b o 's M e th o d ? a r l 's M e t h o d 2 2 .& 1 .2 1 . & & .2 2 .0 & .1
M a n l e y 's 1, 1* 1
M e th o d ..0 .0
Goal:
2. 6f an !"# test is conducted and the null hypothesis is re7ected what does this indicateA > Too many de+rees of freedom => !o difference between the population means ?> difference between at least one pair of population means D> !one of the above Difficulty: Medium Goal: Answer: ? Scrambling: Locked
&. preliminary study of hourly wa+es paid to unskilled employees in three metropolitan areas was conducted. 4even employees were included from rea * from rea = and 12 from rea ?. The test statistic was computed to be -.*1. Mean hourly wa+es of unskilled employees all areas are e(ual => Mean hourly wa+es in at least 2 metropolitan areas are different ?> More de+rees of freedom are needed D> !one of these is correct Difficulty: Medium Goal: Answer: = Scrambling: Locked
-. 6n !"# analysis when the null hypothesis is re7ected we can find which means are different by > constructin+ confidence intervals. => addin+ another treatment. ?> doin+ an additional !"#. D> doin+ a t test. Difficulty: Medium Goal: 0 Answer:
. 6n a two)way !"# a blockin+ variable is used to > increase the error sum of s(uares. => decrease the error sum of s(uares. ?> increase the treatment sum of s(uares. D> decrease the treatment sum of s(uares. Difficulty: %asy Goal: Answer: =
Statistical Techniques in Business & Economics, ind!"archal!#athen, 1$!e
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0. 6n a two)way !"# with interaction a si+nificant interaction term indicates that > the response variable is interactive. => a blockin+ factor is present. ?> both factors are unrelated. D> both factors have a combined effect on the response variable. Difficulty: %asy Goal: , Answer: D
Fill-in-the-Blank
. The F distribution is a FFFFFFFFFFFFFF distribution. Difficulty: Medium Goal: 1 Answer: continuous
,.
*.
0.
01.
02.
0&. The calculated F value must be e(ual to or +reater than FFFFFFFFF . Difficulty: Medium Goal: 1 Answer: @ero >
0-.
0. The $)distribution is useful when testin+ a re(uirement of two)sample tests of hypothesis.
21
Test Bank, Chapter 12
Statistical Techniques in Business & Economics, ind!"archal!#athen, 1$!e
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0. !"# re(uires that the populations should be FFFFFFF FFFFFFF and FFFFFF. Answer: normal or normally distributedH independent e(ual standard deviations or variances Difficulty: Medium Goal: &
0,.
0*.
. 6n an !"# without a block source of variation what are the de+rees of freedom associated with the error sum of s(uaresA FFFFFFFFFFF Difficulty: Medium Goal: Answer: n - k
1. !"# how many de+rees of freedom are associated with the numerator of the F ratioA FFFFFFF Goal: Answer: k - 1 or b ) 1 or k - 1 > b ) 1 > Difficulty: Medium
2.
&. 6n !"# what is the numerator of the F ratio calledA FFFFFFFFFFFFFF Answer: treatment mean s(uare block mean s(uare or interaction mean s(uare Goal: -
Difficulty: Medium
-. ssumin+ that the lar+er of two variances is in the numerator of an $ statistic in which tail of the F distribution is the re7ection re+ion for analysis of varianceA FFFFFFFF Difficulty: Medium Goal: Answer: upper
. 6n !"# when we do not re7ect the null hypothesis what inference do we make about the population meansA FFFFFFFFFFFFFFFF Difficulty: Medium Goal: Answer: they are e(ual
2&
Test Bank, Chapter 12
0.
Answer: 9 o : E 1
=
E2
=
E&
Difficulty: Medium
.
Answer: confidence intervals
Goal:
FFFFFFF are constructed to identify means that differ.
Difficulty: Medium
Goal: 0
,.
*. 9ow many sources of variation are summari@ed in a two)way !"# tableA FFFFFFFFF Difficulty: Medium Goal: Answer: three
,. 6n a two)way !"# table what are the error de+rees of freedomA FFFFFFFFF Difficulty: Medium Goal: Answer: k ) 1>b ) 1>
,1. 6n a two)way !"# with interaction table what are the error de+rees of freedomA FFFFFFFFF Difficulty: 9ard Goal: , Answer: n I kb>
,2. 6n a two)way !"# with interaction what are the interaction de+rees of freedomA FFFFFFFFF Difficulty: 9ard Goal: , Answer: k ) 1>b ) 1>
,&. 6n a one)way !"# what are the two sources of variationA FFFFFFFFF Difficulty: 9ard Goal: Answer: treatment and error variation
,-. 6n a two)way !"# without interaction what are the three sources of variationA Difficulty: 9ard Goal: Answer: Treatment =lock and error variation
,. 6n a two)way !"# with interaction what are the four sources of variationA FFFFFFFFF Difficulty: 9ard Goal: , Answer: $actor factor = interaction of factors and = error
Statistical Techniques in Business & Economics, ind!"archal!#athen, 1$!e
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Multiple Choice
3se the followin+ to answer (uestions ,0)*0: manufacturer of automobile transmissions uses three different processes. The mana+ement ordered a study of the production costs to see if there is a difference amon+ the three processes. summary of the findin+s is shown below.
B r o c e s s T o t a ls J 1 Ks > 4 a m p le 4 i@ e 4 u m o f 4 ( u a re s
Brocess 1 1& 1 1,*&
B ro c e s s 2 1, 1 11,,
Brocess & 1 1 11
Total &2 & -20
,0. 0., => ,. ?> 1-*.&D> 2&.- Difficulty: 9ard Goal: Answer: =
,. 0., => ,. ?> 1-*.&D> 2&.- Difficulty: 9ard Goal: Answer:
,,. 1*.- => &. ?> &.& D> &.&* Difficulty: 9ard Goal: Answer: ?
,*. **.-0 => .-* ?> .&* D> -.01 Difficulty: 9ard Goal: Answer: =
2
Test Bank, Chapter 12
*. 2 => & ?> 1 D> 2 Difficulty: Medium Goal: Answer:
*1. & => 1 ?> 2 D> & Difficulty: Medium Goal: Answer: ?
*2. 2 => 2, ?> 2* D> & Difficulty: Medium Goal: Answer: ?
*&. 2.11 => 2.11 ?> &&.* D> 2*.& Difficulty: 9ard Goal: Answer: D
*-. 2.11 => 2.11 ?> &&.* D> 2*.& Difficulty: 9ard Goal: Answer:
*. .,0 => 1.10, ?> 11.0 D> 1&. Difficulty: 9ard Answer: ?
Goal:
Statistical Techniques in Business & Economics, ind!"archal!#athen, 1$!e
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*0. e7ect 9 )) there is a difference in treatment means => $ail to re7ect 9 )) there is a difference in treatment means ?> e7ect 9 )) there is a difference in errors D> $ail to re7ect 9 )) there is a difference in errors
Answer:
Difficulty: 9ard
Goal:
Fill-in-the-Blank
3se the followin+ to answer (uestions *)10: 6n a study of low tar ci+arettes five ci+arettes from each of three brands were tested to see if the mean amount of tar per ci+arette differs amon+ the brands.
*.
*,.
**. 6f the sum of s(uares for the brands is . what is the mean s(uare for brandsA FFFFFF Difficulty: 9ard Goal: Answer: .&
1. 6f the sum of s(uares for the error is .* what is the mean s(uare for the errorA FFFFFF Difficulty: 9ard Goal: Answer: .
11.
12.
1&. 6f F calculated is -. what is the decision if α .A FFFFFFFFFFF Difficulty: 9ard Goal: Answer: re7ect 9
1-. 6f the calculated F is -.- what would the decision be if α .1A FFFFFFFFFFFFFFFFF Difficulty: Medium Goal: Answer: Do not re7ect 9
2
Test Bank, Chapter 12
1. 6f the sum of s(uares for the brands is . and the sum of s(uares for the error is .* what is the decision rule if N .A FFFFFFFFFFFFFFFFFFFFFFFF Difficulty: 9ard Goal: Answer: Do not re7ect 9 since calculated F &.&& and F .> &.,*
10. 6f the sum of s(uares for the brands is . and the sum of s(uares for the error is .11 what is the decision rule at N .A FFFFFFFFFFFFFFFFFFFFFFFFFF Difficulty: 9ard Goal: Answer: Do not re7ect 9 since calculated F &.,, and F .> &.,*
Multiple Choice
3se the followin+ to answer (uestions 1)111: Given the followin+ nalysis of #ariance table for three treatments each with si; observations.
4 o u rc e T r e a tm e n t s % rro r T o t al
4 u m o 4 ( u are s 1 11 0 10, 21,-
d
M e an 4 ( u are
1. & and 1, => 2 and 1 ?> & and 1 D> 2 and 1 Difficulty: Medium Goal: Answer: D
1,. &.2* => &.0, ?> &.* D> &.2 Difficulty: Medium Goal: Answer: ?
1*. 1.2 => 1.?> , D> &Difficulty: 9ard Goal: Answer: ?
Statistical Techniques in Business & Economics, ind!"archal!#athen, 1$!e
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11. .-, => .,?> ,.,D> ,.-, Difficulty: 9ard Goal: Answer: =
111. e7ect 9 )) there is a difference in treatment means => $ail to re7ect 9 )) there is a difference in treatment means ?> e7ect 9 )) there is a difference in errors D> $ail to re7ect 9 )) there is a difference in errors
Answer:
Difficulty: 9ard
Goal:
Fill-in-the-Blank
3se the followin+ to answer (uestions 112)12&: bottle cap manufacture with four machines and si; operators wants to see if variation in production is due to the machines andOor the operators. %ach operator is assi+ned to each machine with the followin+ nalysis of #ariance table.
4 o u rc e M a c h in e s " p e r ato r s % r ro r T o t al
4 u m o f 4 ( u a re s 1121 &,&
df
M e a n 4 ( u a re
112.
11&.
11-.
11.
2*
Test Bank, Chapter 12
110.
11.
11,.
11*.
12.
121.
Essay
122. 3sin+ a 1L si+nificance level what is the decision for the machinesA FFFFFFFFFFFFFFFFFFFFFFFFFF Answer: Do not re7ect 9H there is no difference in production based on machines Difficulty: 9ard Goal:
12&. 3sin+ a 1L level of si+nificance what is the decision for the operatorsA FFFFFFFFFFFFFFFFFFFFFFFFFF Answer: Do not re7ect 9H there is no difference in production based on the operators 9ard Goal:
Difficulty:
Multiple Choice
3se the followin+ to answer (uestions 12-)1&2: Two accountin+ professors decided to compare the variation of their +radin+ procedures. To accomplish this they each +raded the same 1 e;ams with the followin+ results:
Statistical Techniques in Business & Economics, ind!"archal!#athen, 1$!e
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B r o f e s so r 1 B r o f e s so r 2
M e a n G ra d e * .& , 2 .1
4 t a n d a r d D e v ia tio n 2 2 .1 2 .
12-. 8 21 = 8 2 2 => 8 21 ≠ 8 2 2 ?> E 1 = E 2 D> E 1 ≠ E 2
Answer:
Difficulty: Medium
Goal: 2
Difficulty: Medium
Goal: 2
12. 8 21 = 8 2 2 => 8 21 ≠ 8 2 2 ?> E 1 = E 2 D> E 1 ≠ E 2
Answer: =
120. , => * ?> 1 D> 1, %> 2 Difficulty: Medium Goal: 2 Answer: =
12. 2 => 1, ?> 1 D> * %> , Difficulty: Medium Goal: 2 Answer: D
12,. ., => .& ?> 0.1 D> -.& Difficulty: Medium Goal: 2 Answer: =
211
Test Bank, Chapter 12
12*. ., => .& ?> &.1, D> -.& Difficulty: Medium Goal: 2 Answer: ?
1&. The calculated $ ratio is > &.-,=> 1.,0 ?> &.1, D> .& Difficulty: 9ard Answer:
Goal: 2
1&1. t the 1L level of si+nificance what is the decisionA > e7ect the null hypothesis and conclude the variance is different. => $ail to re7ect the null hypothesis and conclude the variance is different. ?> e7ect the null hypothesis and conclude the variance is the same. D> $ail to re7ect the null hypothesis and conclude the variance is the same. Difficulty: 9ard Goal: 2 Answer: D
1&2. t the L level of si+nificance what is the decisionA > e7ect the null hypothesis and conclude the variance is different. => $ail to re7ect the null hypothesis and conclude no si+nificant difference in the variance. ?> e7ect the null hypothesis and conclude the variance is the same. D> $ail to re7ect the null hypothesis and conclude the variance is the same. Difficulty: 9ard Goal: 2 Answer:
3se the followin+ to answer (uestions 1&&)1&0: random sample of & e;ecutives from companies with assets over J1 million was selected and asked for their annual income and level of education. The !"# comparin+ the avera+e income amon+ three levels of education re7ected the null hypothesis. The Mean 4(uare %rror M4%> was 2-&.. The followin+ table summari@ed the results:
! u m b e r s a m p l e d M e a n s a la r y 1 Ks >
9 i+ h 4 c h o o l or 5ess -*
3 n d e r + ra d u a te D e + re e 11 0 .&
M a s te r Ks D e + r e e o r M o re 12 , .&
1&&. The treatment de+rees of freedom. => The total de+rees of freedom.
Statistical Techniques in Business & Economics, ind!"archal!#athen, 1$!e
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?> The error de+rees of freedom D> The ratio of treatment and error de+rees of freedom Difficulty: Medium Goal: 0 Answer: ?
21&
Test Bank, Chapter 12
1&-. 2. ± 2.2P0.1 => 2. ± &.1,2P0.1 ?> 2. ± 2.2P-2.-0 D> !one of the above Difficulty: 9ard Goal: 0 Answer:
1&. =ased on the comparison between the mean annual incomes for e;ecutives with 3nder+raduate and Master's De+ree or more > confidence interval shows that the mean annual incomes are not si+nificantly different. => The !"# results show that the mean annual incomes are si+nificantly different. ?> confidence interval shows that the mean annual incomes are si+nificantly different. D> The !"# results show that the mean annual incomes are not si+nificantly different. Difficulty: Medium Goal: 0 Answer:
1&0. There is no si+nificant difference between the two incomes. => The interval contains a difference of @ero. ?> %;ecutives with and 3nder+raduate De+ree earn si+nificantly more than e;ecutives with a 9i+h 4chool education or less. D> %;ecutives with and 3nder+raduate De+ree earn si+nificantly less than e;ecutives with a 9i+h 4chool education or less. Difficulty: 9ard Goal: 0 Answer: ?
Fill-in-the-Blank
3se the followin+ to answer (uestions 1&)1&: bottle cap manufacture with four machines and three operators wants to see if variation in hourly production is due to the machines andOor the operators or an interaction effect of machine and operator. %ach operator is assi+ned to each machine and the production of caps from & randomly selected hours is recorded. The analysis shows the followin+ nalysis of #ariance table.
1&.
Statistical Techniques in Business & Economics, ind!"archal!#athen, 1$!e
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21
Test Bank, Chapter 12
1&,.
1&*.
1-.
1-1.
1-2.
1-&.
1--.
1-.
1-0.
1-.
1-,.
1-*.
Statistical Techniques in Business & Economics, ind!"archal!#athen, 1$!e
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1.
11. 3sin+ a 1L si+nificance level what is the decision for the machinesA FFFFFFFFFFFFFFFFFFFFFFFFFF Answer: e7ect 9H there is a difference in production based on machines Difficulty: 9ard Goal: ,
%ssay
12. 3sin+ a 1L level of si+nificance what is the decision for the operatorsA FFFFFFFFFFFFFFFFFFFFFFFFFF Answer: e7ect 9H there is a difference in production based on the operators Difficulty: 9ard Goal: ,
1&. 3sin+ a 1L level of si+nificance what is the decision for the interactionA FFFFFFFFFFFFFFFFFFFFFFFFFF Answer: e7ect 9H there is an interaction effect of machine and operator Difficulty: 9ard Goal: ,
21
Test Bank, Chapter 12
