A company are trying to establish if there is a link between the type of fault reported in production and the production method. The number of faulty com- ponents produced is recorded during one week, counted by production method and type of fault. The results are shown in the following table. Fault A Fault B Fault C Fault D Method 1 23 25 16 19 Method 2 27 26 23 23 Method 3 26 23 18 8. Answer the following question parts. (a) Show the calculations that must be done for any two cells when calculating the sample value of the test statistic Q shown here. = 5.90. E, (b) Carry out an appropriate statistical test to determine whether there is a link between the type of fault reported and the production method

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6. A company are trying to establish if there is a link between the type of fault
reported in production and the production method. The number of faulty com-
ponents produced is recorded during one week, counted by production method
and type of fault. The results are shown in the following table.
Fault A
Fault B
Fault C
Fault D
Method 1
23
25
16
19
Method 2
27
26
23
23
Method 3
26
23
18
Answer the following question parts.
(a) Show the calculations that must be done for any two cells when calculating
the sample value of the test statistic Q shown here.
(0,-E.)*
E,
5.90.
(b) Carry out an appropriate statistical test to determine whether there is a link
between the type of fault reported and the production method.
Transcribed Image Text:6. A company are trying to establish if there is a link between the type of fault reported in production and the production method. The number of faulty com- ponents produced is recorded during one week, counted by production method and type of fault. The results are shown in the following table. Fault A Fault B Fault C Fault D Method 1 23 25 16 19 Method 2 27 26 23 23 Method 3 26 23 18 Answer the following question parts. (a) Show the calculations that must be done for any two cells when calculating the sample value of the test statistic Q shown here. (0,-E.)* E, 5.90. (b) Carry out an appropriate statistical test to determine whether there is a link between the type of fault reported and the production method.
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