(three operators), B, the catalyst used in the experim of the necklace following the cooling process (30 mi ollowing at 0.01 level of significance. Washing Time (C)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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In the production of necklaces, there are 3 independent variables to be studies, namely, A, the
operator effect (three operators), B, the catalyst used in the experiment (three catalysts), and C, the
washing time of the necklace following the cooling process (30 minutes and 45 minutes). |
Solve for the following at 0.01 level of significance.
Washing Time (C)
C1: 30 mins
C2: 45 mins
Catalyst (B)
Catalyst (B)
Operator (A) B1
B2
B1
B2
10.3
11.2
10.5
10.2
11.6
11.1
A1
10.5
12
10.3
10.2
10.7
12.6
10.9
10.5
7.5
A2
10.5
10.2
9.9
12
11.1
10.2
11.6
11
11.5
A3
11.5
11.5
10.9
Variation
|Α
B
C
AB
BC
AC
ABC
ERROR
TOTAL
SS
10.7
10.8
11.3
11.4
11.8
11.5
13.6
14.1
14.5
dof
B3
MS
10.9
12.1
11.5
9.8
11.3
10.9
10.7
11.7
12.7
f crit
f calc
B3
12.2
11.7
11
10.8
10.2
11.5
11.9
11.6
12.2
p-value
Transcribed Image Text:In the production of necklaces, there are 3 independent variables to be studies, namely, A, the operator effect (three operators), B, the catalyst used in the experiment (three catalysts), and C, the washing time of the necklace following the cooling process (30 minutes and 45 minutes). | Solve for the following at 0.01 level of significance. Washing Time (C) C1: 30 mins C2: 45 mins Catalyst (B) Catalyst (B) Operator (A) B1 B2 B1 B2 10.3 11.2 10.5 10.2 11.6 11.1 A1 10.5 12 10.3 10.2 10.7 12.6 10.9 10.5 7.5 A2 10.5 10.2 9.9 12 11.1 10.2 11.6 11 11.5 A3 11.5 11.5 10.9 Variation |Α B C AB BC AC ABC ERROR TOTAL SS 10.7 10.8 11.3 11.4 11.8 11.5 13.6 14.1 14.5 dof B3 MS 10.9 12.1 11.5 9.8 11.3 10.9 10.7 11.7 12.7 f crit f calc B3 12.2 11.7 11 10.8 10.2 11.5 11.9 11.6 12.2 p-value
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