Business Statistics Discussions(2) and 1 Assignment
KAYT
Notes.xlsSheet1
| NOTES | |||||||||||||||||
| STATISTICAL APPLICATIONS - CONFIDENCE AND PREDICTION INTERVALS | totals | ||||||||||||||||
| I. CONFIDENCE INTERVALS | 9 | 11 | 15 | 35 | |||||||||||||
| A) TYPES OF CONFIDENCE INTERVALS | 11 | 14 | 15 | 40 | |||||||||||||
| 1) Averages | totals | 20 | 25 | 30 | 75 | ||||||||||||
| 2) Standard deviations and variances | |||||||||||||||||
| 3) Proportions | |||||||||||||||||
| 4) Regression coefficients | |||||||||||||||||
| 501 | B) CONFIDENCE INTERVALS FOR AVERAGES | ||||||||||||||||
| 475 | 1) Confidence intervals for averages | ||||||||||||||||
| 495 | t*std.error | ||||||||||||||||
| 490 | 488.5 +- | 7.5424087714 | 481 | lower limit | |||||||||||||
| 478 | 10.54 | 496 | upper limit | 9 | 25 | ||||||||||||
| 493 | 3.3341665625 | std.error | |||||||||||||||
| 474 | 95% | 2.2621571628 | t | 16 | |||||||||||||
| 481 | |||||||||||||||||
| 499 | 2) Confidence intervals for differences between averages | ||||||||||||||||
| 499 | 488.5 | mean | |||||||||||||||
| 10.543560436 | std. deviation | ||||||||||||||||
| 3.1622776602 | sq.rt of n | ||||||||||||||||
| 3.3341665625 | std. error | ||||||||||||||||
| C) CONFIDENCE INTERVALS FOR VARIANCES AND STANDARD DEV. | |||||||||||||||||
| 1) Confidence intervals for variances | |||||||||||||||||
| 2) Confidence intervals for ratios of variances | |||||||||||||||||
| D) CONFIDENCE INTERVALS FOR PROPORTIONS | |||||||||||||||||
| 1) Confidence intervals for proportions | |||||||||||||||||
| Female | |||||||||||||||||
| Resigned | 12 | 0.077 | p | treadmill | Bike | diff | |||||||||||
| g | Remained | 144 | 1.96 | z | serv con | 67 | 55 | ||||||||||
| Total | 156 | 0.0213346229 | s | total = n | 185 | 123 | |||||||||||
| 0.077 | p | p | 0.3621621622 | 0.4471544715 | -0.0849923094 | ||||||||||||
| 0.923 | q | q | 0.6378378378 | 0.5528455285 | |||||||||||||
| 2) Confidence intervals for differences between proportions | 156 | n | variance | 0.0012486526 | 0.0020098159 | 0.0032584685 | |||||||||||
| 0.0213346229 | s | 0.0353362788 | 0.0448309698 | 0.0570829962 | s | ||||||||||||
| 1.96 | z | 1.96 | 1.96 | 1.96 | z | ||||||||||||
| 0.042 | Error | 0.0692591064 | 0.0878687008 | 0.1118826725 | E | ||||||||||||
| 0.077 | p | 0.3621621622 | 0.4471544715 | -0.0849923094 | diff in p | ||||||||||||
| 0.04 | lower limit | 0.2929030558 | 0.3592857707 | -0.1968749819 | lower limit | ||||||||||||
| 0.12 | upper limit | 0.4314212685 | 0.5350231724 | 0.0268903631 | upper limit | ||||||||||||
| E) CONFIDENCE INTERVALS FOR REGRESSION COEFFICIENTS | |||||||||||||||||
| II. PREDICTION INTERVALS | |||||||||||||||||
| A) PREDICTION INTERVAL FOR A SINGLE OBSERVATION | |||||||||||||||||
| B) PREDICTION INTERVAL FOR A REGRESSION LINE VALUE |
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