Morgan State University

Graduate School of Engineering

IEGR 535 Engineering Experimental Design

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Instructor: Dr. G.Chen

Assignment (3)

Ayman Malash

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Date: Nov 10th, 1998

 

PROBLEM 5-1

 

 

BOLT

CHEMICAL

1

2

3

4

5

Total

1

73

68

74

71

67

353

2

73

67

75

72

70

357

3

75

68

78

73

68

362

4

73

71

75

75

69

363

Total

294

274

302

291

274

1435

 

Source of variance

Sum of Sq.

D.O.F

Mean Sq.

F0

Chemical

12.95

3

4.317

2.38

Bolt

157.0

4

39.25

21.61

Error

21.8

12

1.817

 

Total

191.75

19

 

 

 

Conclusion:

  1. For chemical: The rejection criteria " F0 > Fa , (a-1), (a-1)(b-1)" is not satisfied, so we accept H0 i.e. there is no significant difference between chemical agents.

  2. For bolt: The rejection criteria " F0 > Fa , (b-1), (a-1)(b-1)" is satisfied, so we reject H0 i.e., bolts have significant effect on the experiment.

 

 

PROBLEM 5-13

 

Subject

Distance (ft)

1

2

3

4

5

Total

D1

10

6

6

6

6

34

D2

7

6

6

1

6

26

D3

5

3

3

2

5

18

D4

6

4

4

2

3

19

Total

28

19

19

11

20

97

 

Source of variation

Sum of Sq.

D.O.F.

Mean Sq.

F0

Distance

32.95

3

10.98

8.61

Subject

36.3

4

9.075

7.12

Error

15.3

12

1.275

 

Total

84.55

19

 

 

 

CONCLUSION:

  1. Distance: The criteria for rejection " F0 > Fa , (a-1), (a-1)(b-1)" is satisfied, so we reject H0 i.e. the distance has a significant effect on the experiment.

  2. Subject: The criteria for rejection " F0 > Fa , (b-1), (a-1)(b-1)" is not satisfied, so we accept H0 i.e. the subject has not a significant effect on the experiment.

 

PROBLEM 5-14

 

 

Day

 

 

Batch

1

2

3

4

 

5

Total

 

Letter

Total

1

A=8

B=7

D=1

C=7

E=3

26

 

A

42

2

C=11

E=2

A=7

D=3

B=8

31

 

B

28

3

B=4

A=9

C=10

E=1

D=5

29

 

C

44

4

D=6

C=8

E=6

B=6

A=10

36

 

D

17

5

E=4

D=2

B=3

A=8

C=8

25

 

E

16

Total

33

28

27

25

34

147

 

Total

147

 

Source of var.

Sum of sq.

D.O.F

Mean sq.

F0

F.05,4,12

Ingredient

141.44

4

35.36

11.31

3.26

Batch

15.44

4

3.86

1.23

 

Day

12.24

4

3.06

.974

 

Error

37.52

12

3.127

 

 

Total

206.64

24

 

 

 

 

Conclusion: The rejection criteria " F0 > Fa , (p-1), (p-1)(p-2)" is satisfied for "Ingredient" so we reject H0 i.e. it has a significant effect on the experiment. On the other hand the rejection criteria is not satisfied for "Day" and "Batch" i.e. they don’t have significant effect on the experiment.

 

PROBLEM 5-22

 

 

Acid Concentration

 

 

 

 

 

1

2

3

4

5

 

 

L.L

Tot.

G.L

Tot.

1

Aa =26

Bb =16

Cg =19

Dd =16

Eq =13

90

 

A

118

a

83

2

Bg =18

Cd =21

Dq =18

Ea =11

Ab =21

89

 

B

78

b

85

3

Cq =20

Da =12

Eb =16

Ag =25

Bs =13

86

 

C

94

g

91

4

Db =15

Eg =15

Ad =22

Bq =14

Ca =17

83

 

D

75

q

89

5

Ed =10

Aq =24

Ba =17

Cb =17

Dg =14

82

 

E

65

d

82

Tot.

89

88

92

83

78

430

Tot.

430

Tot.

430

 

 

 

Source of var.

Sum of sq.

D.O.F

Mean sq.

F0

F.05,4,8

L.L

342.8

4

85.7

4.65

3.84

G.L

12

4

3

.51

 

Raw

10

4

2.5

.43

 

Column

24.4

4

6.1

1.04

 

Error

46.8

8

5.85

 

 

Total

436

24

 

 

 

 

CONCLUSION: The rejection criteria " F0 > F.05, 4,8" is satisfied for the STANDING TIME (L.L) i.e. it has a significant effect on the experiment. On the other hand, the rejection criteria are not satisfied for the CATALYST CONCENTRATION (G.L), ACID CONCENRATION (Raw), and BATCH (Column) i.e. they don’t have significant effect on the experiment.