10. A manager recorded the production output of three employees who each work on three
different machines for three different days. The sample results are shown below:
Assume that the number of items
Employee
produced is not affected by the interaction
A
B
C
between employee and machine. Using a
Machine I
23, 27, 29
30, 27, 25
18, 20, 22
0.05 significance level, test the claim that
II
25, 26, 24
24, 29, 26
19, 16, 14
the choice of employee has no effect on
III
28, 25, 26
25, 27, 23
15, 11, 17
the number of items produced.
(2)
Null Hypothesis, $H_0$
(1)
Alternative Hypothesis, $H_1$:
(2)
(2)
Test Statistic, $F$
P-value:
(3)
Sketch the F distribution. Clearly label the test statistic on the
graph. Shade and label the portion of the graph corresponding to the
P-value.
(1)
Accept or reject the null hypothesis?
(2)
Final conclusion that addresses the original claim. Model your answer on
the wording found in Hypothesis Test: Wording of Final Conclusion.