May 2018
Intermediate to advanced
384 pages
10h 57m
English
| 2.1 | (a) 38.3% (b) 24.2% (c) 43.4% (d) 57.9% |
| 2.2 | 11.5% |
| 2.3 | 4.8% |
| 2.4 | 3.0% |
| 2.5 | σ = 0.3; range 2.0 ± (1.96)(0.3) |
| 2.6 | 60 ± (1.96)(2) |
| 2.7 | 36 |
| 2.8 | sX = 1.00; sXbar = (1.00)/(4)1/2 |
| 2.9 | Tbar = 108.4; sT = 0.59; N = 7 |
| 95% confidence range for next single reading – prediction interval – 108.4 ± (2.62)(0.59) | |
| range for parent population mean – 95% confidence interval – 108.4 ± (2.45)(0.59)/(7)1/2 | |
| 95% confidence range for 95% of population – tolerance interval 108.4 ± (4.007)(0.59) | |
| 95% confidence range for 99% of population – tolerance interval 108.4 ± (5.248)(0.59) | |
| 2.10 | 15 (tolerance interval problem) |
| 2.11 | Xbar = 10.42; sX = 0.04; N = 7; t95 = 2.45 |
| range for parent population mean – confidence interval – 10.42 ± (2.45)(0.04)/(7)1/2 | |
| 2.12 | (a) t90 = 1.94; (b) t99 = 3.71; (c) t99.5 = 4.32; (d) t99.9 = 5.96 |
| 2.13 | 95% confidence range for next 5 readings – prediction interval – 10.42 ± (3.77)(0.04) |
| 95% confidence range for next 20 readings – prediction interval – 10.42 ± (4.74)(0.04) | |
| 2.14 | 2.39 |
| before: 6.603, 0.04; after: 6.613, 0.025 | |
| 1387 ± 4.6 cal/F | |
| (a) 500 ± 10 lb; (b) 500 ± 14.1 lb; (c) 500 ± 14.1 lb | |
| 2.18 | Xbar = 10.42; sX = 0.04; N=7; sXbar = 0.015; b = 0.05; νXbar = 6; νb = 12.5; νX = 14 |
| Range for Xtrue is Xbar ± t% [(b)2 + (sXbar)2 ]1/2 where t95 = 2.14; t90 = 1.76; t99 = 2.98. |
| 4.2 | 2.3% |
| 4.3 | (a) 8.2%; (b) 8.1%; (c) 8.0% |
| 4.4 | 4.6%; = 4.8%; UPCL = 19%; UPCb = 76.2% |
| 4.5 | 0.2 C ... |
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