Now you are working at an Automobile Assembly plant where a complex fuel tank/sensor/bracket assembly is built and placed into vehicles. At a random time each day, 5 consecutive assemblies are selected from the assembly line, and the inspector counts the total number of defects (Assembly Errors) found in the group of the 5 units selected. There are two periods applicable to the data: Period 1 (1-25) before a training program was instituted and Period 2 (26-50) after the training was completed.
Your task is to perform an appropriate analysis of the data. The relevant variable in the file is errors.dat. Please complete an appropriate analysis, then answer the related questions.
1. Verify that the data from period 1 are from a population that is Poisson distributed using a Poisson distribution test. What is the value of the p-value from this test? Record your answer to 4 places after the decimal point (e.g. X.XXXX).
2. What is the assembly error rate before the training (period 1)? Record your answer to 4 places after the decimal point (e.g. X.XXXX).
3. Verify that the data from period 2 are from a population that is Poisson distributed using a Poisson distribution test. What is the value of the p-value from this test? Record your answer to 4 places after the decimal point (e.g. X.XXXX).
4. What is the assembly error rate after the training (period 2)? Record your answer to 4 places after the decimal point (e.g. X.XXXX).
5. What percentage of the time will any randomly sampled group of 5 consecutive assemblies have 11 or more errors if control is maintained at the level documented in Period 2 of the data? (Report a percentage with 4 places after the decimal point, do not include the % sign).
Period Defects
1 10
1 8
1 17
1 27
1 18
1 30
1 20
1 15
1 16
1 13
1 22
1 12
1 13
1 17
1 17
1 15
1 15
1 17
1 13
1 12
1 20
1 17
1 14
1 15
1 15
2 7
2 4
2 9
2 9
2 6
2 9
2 12
2 7
2 14
2 9
2 10
2 7
2 9
2 5
2 7
2 10
2 7
2 2
2 11
2 6
2 7
2 10
2 3
2 11
2 7