else
cout << "REJECTED\n";
cout << "Mean < " << setprecision(3) << fixed << M << " ";
- if(cdf(dist, t_stat) < alpha)
+ if(cdf(complement(dist, t_stat)) > alpha)
cout << "NOT REJECTED\n";
else
cout << "REJECTED\n";
cout << "Mean > " << setprecision(3) << fixed << M << " ";
- if(cdf(complement(dist, t_stat)) < alpha)
+ if(cdf(dist, t_stat) > alpha)
cout << "NOT REJECTED\n";
else
cout << "REJECTED\n";
Generating code
Finished generating code
students_t_single_sample.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\students_t_single_sample.exe
- __________________________________
- 2-Sided Confidence Limits For Mean
- __________________________________
-
- Number of Observations = 195
- Mean = 9.26146
- Standard Deviation = 0.02278881
-
-
- _______________________________________________________________
- Confidence T Interval Lower Upper
- Value (%) Value Width Limit Limit
- _______________________________________________________________
- 50.000 0.676 1.103e-003 9.26036 9.26256
- 75.000 1.154 1.883e-003 9.25958 9.26334
- 90.000 1.653 2.697e-003 9.25876 9.26416
- 95.000 1.972 3.219e-003 9.25824 9.26468
- 99.000 2.601 4.245e-003 9.25721 9.26571
- 99.900 3.341 5.453e-003 9.25601 9.26691
- 99.990 3.973 6.484e-003 9.25498 9.26794
- 99.999 4.537 7.404e-003 9.25406 9.26886
-
- __________________________________
- Student t test for a single sample
- __________________________________
-
- Number of Observations = 195
- Sample Mean = 9.26146
- Sample Standard Deviation = 0.02279
- Expected True Mean = 5.00000
-
- Sample Mean - Expected Test Mean = 4.26146
- Degrees of Freedom = 194
- T Statistic = 2611.28380
- Probability that difference is due to chance = 0.000e+000
-
- Results for Alternative Hypothesis and alpha = 0.0500
-
- Alternative Hypothesis Conclusion
- Mean != 5.000 NOT REJECTED
- Mean < 5.000 REJECTED
- Mean > 5.000 NOT REJECTED
-
-
- _____________________________________________________________
- Estimated sample sizes required for various confidence levels
- _____________________________________________________________
-
- True Mean = 5.00000
- Sample Mean = 9.26146
- Sample Standard Deviation = 0.02279
-
-
- _______________________________________________________________
- Confidence Estimated Estimated
- Value (%) Sample Size Sample Size
- (one sided test) (two sided test)
- _______________________________________________________________
- 75.000 2 2
- 90.000 2 2
- 95.000 2 2
- 99.000 2 2
- 99.900 3 3
- 99.990 3 3
- 99.999 4 4
-
- __________________________________
- 2-Sided Confidence Limits For Mean
- __________________________________
-
- Number of Observations = 3
- Mean = 37.8000000
- Standard Deviation = 0.9643650
-
-
- _______________________________________________________________
- Confidence T Interval Lower Upper
- Value (%) Value Width Limit Limit
- _______________________________________________________________
- 50.000 0.816 0.455 37.34539 38.25461
- 75.000 1.604 0.893 36.90717 38.69283
- 90.000 2.920 1.626 36.17422 39.42578
- 95.000 4.303 2.396 35.40438 40.19562
- 99.000 9.925 5.526 32.27408 43.32592
- 99.900 31.599 17.594 20.20639 55.39361
- 99.990 99.992 55.673 -17.87346 93.47346
- 99.999 316.225 176.067 -138.26683 213.86683
-
- __________________________________
- Student t test for a single sample
- __________________________________
-
- Number of Observations = 3
- Sample Mean = 37.80000
- Sample Standard Deviation = 0.96437
- Expected True Mean = 38.90000
-
- Sample Mean - Expected Test Mean = -1.10000
- Degrees of Freedom = 2
- T Statistic = -1.97566
- Probability that difference is due to chance = 1.869e-001
-
- Results for Alternative Hypothesis and alpha = 0.0500
-
- Alternative Hypothesis Conclusion
- Mean != 38.900 REJECTED
- Mean < 38.900 REJECTED
- Mean > 38.900 REJECTED
-
-
- __________________________________
- Student t test for a single sample
- __________________________________
-
- Number of Observations = 3
- Sample Mean = 37.80000
- Sample Standard Deviation = 0.96437
- Expected True Mean = 38.90000
-
- Sample Mean - Expected Test Mean = -1.10000
- Degrees of Freedom = 2
- T Statistic = -1.97566
- Probability that difference is due to chance = 1.869e-001
-
- Results for Alternative Hypothesis and alpha = 0.1000
-
- Alternative Hypothesis Conclusion
- Mean != 38.900 REJECTED
- Mean < 38.900 NOT REJECTED
- Mean > 38.900 REJECTED
-
-
- _____________________________________________________________
- Estimated sample sizes required for various confidence levels
- _____________________________________________________________
-
- True Mean = 38.90000
- Sample Mean = 37.80000
- Sample Standard Deviation = 0.96437
-
-
- _______________________________________________________________
- Confidence Estimated Estimated
- Value (%) Sample Size Sample Size
- (one sided test) (two sided test)
- _______________________________________________________________
- 75.000 3 4
- 90.000 7 9
- 95.000 11 13
- 99.000 20 22
- 99.900 35 37
- 99.990 50 53
- 99.999 66 68
-
+__________________________________
+2-Sided Confidence Limits For Mean
+__________________________________
+
+Number of Observations = 195
+Mean = 9.26146
+Standard Deviation = 0.02278881
+
+
+_______________________________________________________________
+Confidence T Interval Lower Upper
+ Value (%) Value Width Limit Limit
+_______________________________________________________________
+ 50.000 0.676 1.103e-003 9.26036 9.26256
+ 75.000 1.154 1.883e-003 9.25958 9.26334
+ 90.000 1.653 2.697e-003 9.25876 9.26416
+ 95.000 1.972 3.219e-003 9.25824 9.26468
+ 99.000 2.601 4.245e-003 9.25721 9.26571
+ 99.900 3.341 5.453e-003 9.25601 9.26691
+ 99.990 3.973 6.484e-003 9.25498 9.26794
+ 99.999 4.537 7.404e-003 9.25406 9.26886
+
+__________________________________
+Student t test for a single sample
+__________________________________
+
+Number of Observations = 195
+Sample Mean = 9.26146
+Sample Standard Deviation = 0.02279
+Expected True Mean = 5.00000
+
+Sample Mean - Expected Test Mean = 4.26146
+Degrees of Freedom = 194
+T Statistic = 2611.28380
+Probability that difference is due to chance = 0.000e+000
+
+Results for Alternative Hypothesis and alpha = 0.0500
+
+Alternative Hypothesis Conclusion
+Mean != 5.000 NOT REJECTED
+Mean < 5.000 REJECTED
+Mean > 5.000 NOT REJECTED
+
+
+_____________________________________________________________
+Estimated sample sizes required for various confidence levels
+_____________________________________________________________
+
+True Mean = 5.00000
+Sample Mean = 9.26146
+Sample Standard Deviation = 0.02279
+
+
+_______________________________________________________________
+Confidence Estimated Estimated
+ Value (%) Sample Size Sample Size
+ (one sided test) (two sided test)
+_______________________________________________________________
+ 75.000 2 2
+ 90.000 2 2
+ 95.000 2 2
+ 99.000 2 2
+ 99.900 3 3
+ 99.990 3 3
+ 99.999 4 4
+
+__________________________________
+2-Sided Confidence Limits For Mean
+__________________________________
+
+Number of Observations = 3
+Mean = 37.8000000
+Standard Deviation = 0.9643650
+
+
+_______________________________________________________________
+Confidence T Interval Lower Upper
+ Value (%) Value Width Limit Limit
+_______________________________________________________________
+ 50.000 0.816 0.455 37.34539 38.25461
+ 75.000 1.604 0.893 36.90717 38.69283
+ 90.000 2.920 1.626 36.17422 39.42578
+ 95.000 4.303 2.396 35.40438 40.19562
+ 99.000 9.925 5.526 32.27408 43.32592
+ 99.900 31.599 17.594 20.20639 55.39361
+ 99.990 99.992 55.673 -17.87346 93.47346
+ 99.999 316.225 176.067 -138.26683 213.86683
+
+__________________________________
+Student t test for a single sample
+__________________________________
+
+Number of Observations = 3
+Sample Mean = 37.80000
+Sample Standard Deviation = 0.96437
+Expected True Mean = 38.90000
+
+Sample Mean - Expected Test Mean = -1.10000
+Degrees of Freedom = 2
+T Statistic = -1.97566
+Probability that difference is due to chance = 1.869e-001
+
+Results for Alternative Hypothesis and alpha = 0.0500
+
+Alternative Hypothesis Conclusion
+Mean != 38.900 REJECTED
+Mean < 38.900 NOT REJECTED
+Mean > 38.900 NOT REJECTED
+
+
+__________________________________
+Student t test for a single sample
+__________________________________
+
+Number of Observations = 3
+Sample Mean = 37.80000
+Sample Standard Deviation = 0.96437
+Expected True Mean = 38.90000
+
+Sample Mean - Expected Test Mean = -1.10000
+Degrees of Freedom = 2
+T Statistic = -1.97566
+Probability that difference is due to chance = 1.869e-001
+
+Results for Alternative Hypothesis and alpha = 0.1000
+
+Alternative Hypothesis Conclusion
+Mean != 38.900 REJECTED
+Mean < 38.900 NOT REJECTED
+Mean > 38.900 REJECTED
+
+
+_____________________________________________________________
+Estimated sample sizes required for various confidence levels
+_____________________________________________________________
+
+True Mean = 38.90000
+Sample Mean = 37.80000
+Sample Standard Deviation = 0.96437
+
+
+_______________________________________________________________
+Confidence Estimated Estimated
+ Value (%) Sample Size Sample Size
+ (one sided test) (two sided test)
+_______________________________________________________________
+ 75.000 3 4
+ 90.000 7 9
+ 95.000 11 13
+ 99.000 20 22
+ 99.900 35 37
+ 99.990 50 53
+ 99.999 66 68
*/