ASSESSMENT 4.1 QUESTIONS
Question 1
A manufacturer receives large batches of components daily and decides to institute and acceptance sampling scheme. Three possible plans are considered, each of which requires a sample of 30 components to be tested:
Plan A: Accept the batch if no non-conformity components are found, otherwise reject.
Plan B: Accept the batch if not more than one non-conforming component is found, otherwise reject.
Plan C: Accept the batch if two or fewer no-conforming components are found, otherwise reject.
Determine which plans would result in a balance between the risk of accepting batches containing 8% defective and the risk of rejecting batches containing 2% non-conforming.
Question 2
Set up the data in Minitab and obtain the mean number of defectives.
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Observation 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 |
Delivery Speed 41 18 34 27 60 19 46 13 55 40 24 39 28 37 47 34 32 49 53 47 33 34 30 24 51 46 24 52 35 41 30 28 52 34 24 18 36 40 0 24 19 59 49 50 20 50 31 34 58 54 37 26 45 28 38 29 49 54 43 23 31 51 41 30 11 37 42 16 53 23 36 56 36 52 30 42 38 33 10 45 55 34 16 23 26 25 24 21 29 43 30 48 31 19 40 6 61 20 31 25 |
Question 3
Can a Poisson distribution be fitted to the data? If so, what are the parameters?
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Observation 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 |
Delivery Speed 41 18 34 27 60 19 46 13 55 40 24 39 28 37 47 34 32 49 53 47 33 34 30 24 51 46 24 52 35 41 30 28 52 34 24 18 36 40 0 24 19 59 49 50 20 50 31 34 58 54 37 26 45 28 38 29 49 54 43 23 31 51 41 30 11 37 42 16 53 23 36 56 36 52 30 42 38 33 10 45 55 34 16 23 26 25 24 21 29 43 30 48 31 19 40 6 61 20 31 25 |
Question 4
Can a Normal distribution be fitted to the data? If so, what are the parameters?
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Observation 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 |
Delivery Speed 41 18 34 27 60 19 46 13 55 40 24 39 28 37 47 34 32 49 53 47 33 34 30 24 51 46 24 52 35 41 30 28 52 34 24 18 36 40 0 24 19 59 49 50 20 50 31 34 58 54 37 26 45 28 38 29 49 54 43 23 31 51 41 30 11 37 42 16 53 23 36 56 36 52 30 42 38 33 10 45 55 34 16 23 26 25 24 21 29 43 30 48 31 19 40 6 61 20 31 25 |
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Solution: ASSESSMENT 4.1 QUESTIONS