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A company operates four machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.
Machine
Shift A B C D
1 41 20 12 16
2 31 11 9 14
3 15 17 16 10
X is a continuous random variable uniformly distributed on [20, 45] that is, the end points c = 20 and d = 45.
Find the probability (type answer as an integer or simplified fraction) of a couple having a baby boy when their fifth child is born, given that the first four children were all boys.
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Is there any evidence that the different teatments produced different responses? If so, which one seems to work best?
In a regression analysis involving 30 observations, the following estimated regression equation was obtained.
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