Q1) Company operates 4 machines in 3 shifts each day. From production records, data in table below were collected. At.05 level of significance test to find out if number of breakdowns is independent of shift.
|
|
Machine
|
|
Shift
|
A
|
B
|
C
|
D
|
|
1
|
41
|
20
|
12
|
16
|
|
2
|
31
|
11
|
9
|
14
|
|
3
|
15
|
17
|
16
|
10
|
a) Number of breakdowns is dependent on shift, as the test value 11.649 is less than critical value of 12.592.
b) Claim that number of breakdowns is independent of shift can't be rejected, as test value 11.649 is less than critical value of 12.592.
c) Number of breakdowns is dependent on shift, as the p-value is .07.
d) Number of breakdowns is independent of shift, as test value 12.592 is greater than the critical value of 11.649.