Estimation and Limits -- Introduction -- Answers

The anwers to Problems 1-3 are based on the following table.

        1   15.00        6    2.52       11    0.42       16    0.07
        2   10.50        7    1.76       12    0.30       17    0.05
        3    7.35        8    1.24       13    0.21       18    0.03
        4    5.14        9    0.86       14    0.15       19    0.02
        5    3.60       10    0.61       15    0.10       20    0.02

1. The concentration of Agent Yucky will be below 2 ppm when n >= 7.

2. The concentration of Agent Yucky will be below 0.5 ppm when n >= 11.

3. The concentration of Agent Yucky will be below 0.1 ppm when n >= 16.

   The answers to Problems 4-6 are based on the following table

           1   15.00       16    3.09       31    0.64       46    0.13
           2   13.50       17    2.78       32    0.57       47    0.12
           3   12.15       18    2.50       33    0.52       48    0.11
           4   10.94       19    2.25       34    0.46       49    0.10
           5    9.84       20    2.03       35    0.42       50    0.09
   
           6    8.86       21    1.82       36    0.38       51    0.08
           7    7.97       22    1.64       37    0.34       52    0.07
           8    7.17       23    1.48       38    0.30       53    0.06
           9    6.46       24    1.33       39    0.27       54    0.06
          10    5.81       25    1.20       40    0.25       55    0.05
   
          11    5.23       26    1.08       41    0.22       56    0.05
          12    4.71       27    0.97       42    0.20       57    0.04
          13    4.24       28    0.87       43    0.18       58    0.04
          14    3.81       29    0.79       44    0.16       59    0.03
          15    3.43       30    0.71       45    0.15       60    0.03
   

4. The concentration of Agent Yucky will be below 2 ppm when n >= 21.

5. The concentration of Agent Yucky will be below 0.5 ppm when n >= 34.

6. The concentration of Agent Yucky will be below 0.1 ppm when n >= 50.

   The answers to Problems 7 and 8 are based on the following table.

   
           1 10.0000       16  0.4483       31  0.1123
           2  8.0200       17  0.3787       32  0.1098
           3  6.4360       18  0.3229       33  0.1078
           4  5.1688       19  0.2783       34  0.1063
           5  4.1550       20  0.2427       35  0.1050
   
           6  3.3440       21  0.2141       36  0.1040
           7  2.6952       22  0.1913       37  0.1032
           8  2.1762       23  0.1730       38  0.1026
           9  1.7609       24  0.1584       39  0.1021
          10  1.4288       25  0.1468       40  0.1016
   
          11  1.1630       26  0.1374       41  0.1013
          12  0.9504       27  0.1299       42  0.1011
          13  0.7803       28  0.1239       43  0.1008
          14  0.6443       29  0.1191       44  0.1007
          15  0.5354       30  0.1153       45  0.1005
   

7. The concentration of Agent Yucky will be within the tolerance of 0.05 ppm when n >= 25.

8. The concentration of Agent Yucky will be within the tolerance of 0.01 ppm when n >= 32.