A bottle cap manufacturer with three machines and seven operators wants to see i
ID: 3227355 • Letter: A
Question
A bottle cap manufacturer with three machines and seven operators wants to see if variation in production is due to the machines and/or the operators. The ANOVA table follows.
Source
Sum of Squares
df
Mean Square
Machines
114
Operators
215
Error
54
Total
383
What is the computed value of F for the operators?
12.667
10.556
8.444
6.333
4.222
Source
Sum of Squares
df
Mean Square
Machines
114
Operators
215
Error
54
Total
383
A bottle cap manufacturer with three machines and seven operators wants to see if variation in production is due to the machines and/or the operator The ANOVA table follows Source Sum of Squares d Mean Square Machines 114 Operators 2215 Error 54 3313 What is the computed value of F for the operators? 2.667 0.556 8.444 6,333 O 4.222Explanation / Answer
a)
df_machine = 3 - 1 = 2
df_Operators = 7 - 1 = 6
df_error = (3-1)(7-1) = 12
df_total = df_machine + df_Operators + df_error = 2+6+12 = 20
Mss_machine = ss_machine / df_machine = 114 / 2 = 57
Mss_Operators = SS_operators / df_operators = 215/6 = 35.83
Mss_error = ss_error / df_error = 54 / 12 = 4.5
Therefore,
F_operators = Mss_operators / Mss_error = 35.83 / 4.5 = 7.963
ANSWER:
Computed value of F for the operators is 7.963
SV df ss mss f machine 2 114 57 12.667 operators 6 215 35.83333 7.963 error 12 54 4.5 total 20 383Related Questions
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