b) The Ekatahuna Widget factory is to replace its old machines, and must choose among the three types now available on the market. One of each type (A1, A2 and A3) is borrowed for testing. The 21 workers are randomly allocated, seven to each new machine. Each worker is timed for assembling 10 widgets using the old type of machine, and x (in seconds) is the average time taken. Then, after practice, the worker is timed for 10 widgets on the new machine, with Y being the average time in seconds. A1 A2 Аз y y y 23 22 21 23 24 22 25 24 23 24 25 22 26 26 24 26 26 24 28 27 25 28 28 26 30 28 26 27 30 29 32 30 28 29 32 29 33 31 31 34 33 198 32 Sum 197 188 178 191 184 Note: Ey = 22 +24? + ...+32 = 15327; Ex = 23 +...+32 = 15893 and Exy = 15572 Conduct the analysis of covariance, and test the significance of the covariate and adjusted treatment means.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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b)
The Ekatahuna Widget factory is to replace its old machines, and must choose among
the three types now available on the market. One of each type (A1, A2 and A3) is
borrowed for testing. The 21 workers are randomly allocated, seven to each new
machine. Each worker is timed for assembling 10 widgets using the old type of
machine, and x (in seconds) is the average time taken. Then, after practice, the worker
is timed for 10 widgets on the new machine, with Y being the average time in seconds.
A1
A2
Аз
y
y
y
23
22
21
23
24
25
22
23
24
26
28
25
24
22
24
26
26
26
24
26
28
27
25
28
30
28
26
27
30
29
32
30
28
29
32
29
33
33
198
31
31
34
32
Sum
197
188
178
191
184
Note: Ey, = 22' + 24° +.+ 32' = 15327; E = 23' +.+32' = 15893 and Exy=15572
Conduct the analysis of covariance, and test the significance of the covariate and adjusted
treatment means.
Transcribed Image Text:b) The Ekatahuna Widget factory is to replace its old machines, and must choose among the three types now available on the market. One of each type (A1, A2 and A3) is borrowed for testing. The 21 workers are randomly allocated, seven to each new machine. Each worker is timed for assembling 10 widgets using the old type of machine, and x (in seconds) is the average time taken. Then, after practice, the worker is timed for 10 widgets on the new machine, with Y being the average time in seconds. A1 A2 Аз y y y 23 22 21 23 24 25 22 23 24 26 28 25 24 22 24 26 26 26 24 26 28 27 25 28 30 28 26 27 30 29 32 30 28 29 32 29 33 33 198 31 31 34 32 Sum 197 188 178 191 184 Note: Ey, = 22' + 24° +.+ 32' = 15327; E = 23' +.+32' = 15893 and Exy=15572 Conduct the analysis of covariance, and test the significance of the covariate and adjusted treatment means.
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