HELP ASAP. info is given in the pic. 19) At which value(s) for alpha (type I) error is the Machine factor significant? A) 0.10 B) 0.05 C) 0.025 D) 0.01 E) None of the above 20) At which value(s) for alpha (type I) error is the Operator factor significant? A) 0.05 B) 0.025 C) 0.01 D) 0.005 E All of the above

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HELP ASAP. info is given in the pic.

19) At which value(s) for alpha (type I) error is the Machine factor significant?
A) 0.10
B) 0.05
C) 0.025
D) 0.01
E) None of the above


20) At which value(s) for alpha (type I) error is the Operator factor significant?
A) 0.05
B) 0.025
C) 0.01
D) 0.005
E All of the above

Use the following information when answering questions 19) and 20) below.
An operations manager at a synthetic fiber production facility is studying two factors that
influence the breaking strength of a synthetic fiber (operator and machine) and decide to
use a two-factor factorial experiment with 2 replicates. To conduct the study, the
operations manager has three operators produce two sets of fiber from each of four
different production machines and records the breaking strength. The data appear in the
table below (Fiber Strength worksheet):
Operator M1
01
109
01
109
02
Total
03
03
110
112
116
114
Machine
M2
110
115
110
111
112
115
ANOVA
Source of Variation SS
Sample
165.3
Columns
13.5
Interaction
44.75
Within
45
268.5
The operations manager uses Excel's data analysis tool Anova: Two-Factor With
Replication to model to the data in the above table. The output appears below:
df
2
3
6
12
M3
108
109
111
23
109
114
119
M4
110
108
114
112
120
117
MS
82.63
4.50
7.46
3.75
F
22.03
1.20
1.99
P-value
9.61E-05
0.3515
0.1464
F crit
3.89
3.49
3.00
Transcribed Image Text:Use the following information when answering questions 19) and 20) below. An operations manager at a synthetic fiber production facility is studying two factors that influence the breaking strength of a synthetic fiber (operator and machine) and decide to use a two-factor factorial experiment with 2 replicates. To conduct the study, the operations manager has three operators produce two sets of fiber from each of four different production machines and records the breaking strength. The data appear in the table below (Fiber Strength worksheet): Operator M1 01 109 01 109 02 Total 03 03 110 112 116 114 Machine M2 110 115 110 111 112 115 ANOVA Source of Variation SS Sample 165.3 Columns 13.5 Interaction 44.75 Within 45 268.5 The operations manager uses Excel's data analysis tool Anova: Two-Factor With Replication to model to the data in the above table. The output appears below: df 2 3 6 12 M3 108 109 111 23 109 114 119 M4 110 108 114 112 120 117 MS 82.63 4.50 7.46 3.75 F 22.03 1.20 1.99 P-value 9.61E-05 0.3515 0.1464 F crit 3.89 3.49 3.00
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