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LabCorp has implemented a system to reduce the number of errors (false positives and false negatives) in its blood tests for its facilities located in

LabCorp has implemented a system to reduce the number of errors (false positives and false negatives) in its blood tests for its facilities located in Texas. The table below depicts the number of errors per month for 15 months based on data from a sample of 6 locations. LabCorp wants to assess whether those locations are capable of meeting the specification limits of LSL = 0 false positives and false negatives per month and USL = 50 false positives and false negatives per month. Show all calculations in detail.

LabCorp Data

Sample
Month 1 2 3 4 5 6
1 27 50 84 147 151 64
2 25 127 119 97 137 153
3 43 40 151 25 45 38
4 68 94 73 45 74 178
5 78 107 148 38 106 105
6 153 74 123 20 88 156
7 102 70 48 123 46 107
8 133 130 95 46 101 23
9 148 20 96 92 173 115
10 21 153 173 152 118 105
11 118 49 121 148 65 159
12 100 46 76 43 140 56
13 51 51 135 83 157 175
14 66 77 45 177 21 118
15 40 180 35 139 158 64

  1. Determine whether the process of testing the blood samples is in control or not.
  2. Determine if those facilities were able to meet the LSL and USL requirements.
  3. Calculate the percentage of locations that do not meet the specification limits

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