Question
In: Statistics and Probability
Porosity% Mean diameter(mm) A 18 12 B 18.3 9.7 C 16.3 7.3 D 6.9 5.3 E...
| Porosity% | Mean diameter(mm) | |
| A | 18 | 12 |
| B | 18.3 | 9.7 |
| C | 16.3 | 7.3 |
| D | 6.9 | 5.3 |
| E | 17.1 | 10.9 |
| F | 20.4 | 16.8 |
a) Produce a graph containing the confidence intervals for the mean and prediction intervals for new observations
b) Interpret both intervals for a mean pore diameter of 15 micrometers
Solutions
Expert Solution
(a) The confidence intervals for the mean and prediction intervals for new observations are:
| Predicted values for: Porosity% | |||||
| 95% Confidence Intervals | 95% Prediction Intervals | ||||
| Mean diameter(mm) | Predicted | lower | upper | lower | upper |
| 12.0 | 17.7497 | 13.7819 | 21.7175 | 8.0598 | 27.4396 |
| 9.7 | 15.5651 | 11.9021 | 19.2281 | 5.9960 | 25.1343 |
| 7.3 | 13.2855 | 8.5919 | 17.9792 | 3.2765 | 23.2946 |
| 5.3 | 11.3859 | 5.2361 | 17.5356 | 0.6169 | 22.1548 |
| 10.9 | 16.7049 | 13.0526 | 20.3572 | 7.1398 | 26.2700 |
| 16.8 | 22.3089 | 14.9637 | 29.6540 | 10.8153 | 33.8024 |
The graph is:
(b) The intervals are:
| Predicted values for: Porosity% | |||||
| 95% Confidence Interval | 95% Prediction Interval | ||||
| Mean diameter(mm) | Predicted | lower | upper | lower | upper |
| 15 | 20.5992 | 14.7393 | 26.4591 | 9.9931 | 31.2053 |
orchestra answered 2 years agoRelated Solutions
Porosity% Mean diameter(mm) A 18 12 B 18.3 9.7 C 16.3 7.3 D 6.9 5.3 E...
Porosity%
Mean diameter(mm)
A
18
12
B
18.3
9.7
C
16.3
7.3
D
6.9
5.3
E
17.1
10.9
F
20.4
16.8
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