A production manager proposed three different assembly methods for a new product to his manager. In order to determine which assembly method results in the greatest number of units produced per hour, he randomly selects 25 workers and assigned to use one of the proposed methods. The number of units produced by each worker are recorded and shown in Table 1. Table 1 Method A Method B Method C 97 93 99 73 100 94 93 55 87 100 77 66 73 91 59 85 a. Identify the control and response variables. b. How many treatments involved in this experiment? List all the treatments. c. How many replications for each treatment?

MATLAB: An Introduction with Applications
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A production manager proposed three different assembly methods for a new product to his
manager. In order to determine which assembly method results in the greatest number of
units produced per hour, he randomly selects 25 workers and assigned to use one of the
proposed methods. The number of units produced by each worker are recorded and shown
in Table 1.
Table 1
Method A
Method B
Method C
97
93
99
73
100
94
93
55
87
100
77
66
73
91
59
85
a. Identify the control and response variables.
b. How many treatments involved in this experiment? List all the treatments.
c. How many replications for each treatment?
d. Construct the ANOVA table and test whether the mean number of units
produced is the same with each assembly method. Use a = 0.05.
Transcribed Image Text:A production manager proposed three different assembly methods for a new product to his manager. In order to determine which assembly method results in the greatest number of units produced per hour, he randomly selects 25 workers and assigned to use one of the proposed methods. The number of units produced by each worker are recorded and shown in Table 1. Table 1 Method A Method B Method C 97 93 99 73 100 94 93 55 87 100 77 66 73 91 59 85 a. Identify the control and response variables. b. How many treatments involved in this experiment? List all the treatments. c. How many replications for each treatment? d. Construct the ANOVA table and test whether the mean number of units produced is the same with each assembly method. Use a = 0.05.
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