Single Variable and Binomial ratios
testing
Confidence Interval for Mean, Std Dev and Variance
| Sample | Mean | 75.0772 | sn | 5.4197 |
| n = | 234 | sn-1 | 5.4313 | |
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Distribution is symmetric |
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| Interval Estimation | Lower | Parameter | Upper | |
| Mean | 74.3777 | 70.0772 | 75.7767 | |
| Variance | 24.8418 | 29.3728 | 35.7702 | |
| Std. Dev. | 4.9842 | 5.9842 | 5.9808 | |
Single Variable Estimation With Mean SD Known
| Sample | Mean | 75.1767 | sn | 5.4910 |
| n = | 234 | sn-1 | 5.5028 | |
| Population po | Mean | 75.0000 | so | 5.0000 |
| m-mo | 0.1767 |
| H0:m=mo | H0:m=mo | H0:m=mo | |
| Test | 0.5406 | 0.5406 | -0.5406 |
| Normal D 95% | 1.9606 | 1.6454 | 1.6454 |
| Accept | Accept | Accept | |
| H1:m <> mo | H1:m > mo | H1:m < mo |
Variance Test
| Sample | Mean = | 75.0772 | sn | 5.4197 |
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| n = | 234 | sn-1 | 5.4313 | ||||
| Population po | Mean = | UNKNOWN | s²po | 26.0000 | |||
| H0:s = so | H0:s = so | H0:s = so | H0:s = so | ||||
| Test | 264.3556 | 264.3556 | -264.3556 | 264.3556 | |||
| c² 5% | 276.6801 | 269.3102 | 198.3823 | 192.1499 | |||
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Accept | Accept | Reject | Reject | |||
| H1:s<>so | H1:s>so | H1:s < so | H1:s<>so |
Binomial Population Test
| q = | 0.1026 | p = | 0.8974 | p0 = | 0.9000 |
| Confidence limits | 0.8512 | < p < | 0.9332 | ||
| H0: p=po | H0: p=po | H0: p=po | |||
| Test | 0.1307 | 0.2397 | 0.0218 | ||
| Normal | 1.9606 | 1.6454 | 1.6454 | ||
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Accept | Accept | Accept | ||
| H1: p <> po | H1: p < po | H1: p > po |
Binomial Population Ratio Difference Test
| p1 - p2 = | 0.0503 | p1 = | 0.8963 | p2 = | 0.8450 |
| Confidence limits | -.0.0388 | < p < | 0.1314 | ||
| H0: p1=p2 | H0: p1=p2 | H0: p1=p2 | |||
| Test | 1.2967 | 1.2967 | 1.2967 | ||
| Normal | 1.9606 | 1.6454 | 1.6454 | ||
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Accept | Accept | Accept | ||
| H1: p1 <> p2 | H1: p1 < p2 | H1: p1 > p2 |