Tools
Intervals & Tests
Hypothesis Test Of Sample Mean Example
Hypothesis Test Of Two Sample Variances Example
Hypothesis Test Of A Standard Deviation Compared To A Standard Value Example
Distributions
Area Under the Standard Normal Curve
Non-Normal Distributions in the Real World
Rayleigh Distribution for True Position
F.99 (n1,n2)
n1 = degrees of freedom for numerator n2 = degrees of freedom for denominator
| 
 n2/n1  | 
 1  | 
 2  | 
 3  | 
 4  | 
 5  | 
 6  | 
 7  | 
 8  | 
 9  | 
 10  | 
| 
 1  | 
 4052  | 
 4999.5  | 
 5403  | 
 5625  | 
 5764  | 
 5859  | 
 5928  | 
 5982  | 
 6022  | 
 6056  | 
| 
 2  | 
 98.50  | 
 99.00  | 
 99.17  | 
 99.25  | 
 99.30  | 
 99.33  | 
 99.36  | 
 99.37  | 
 99.39  | 
 99.40  | 
| 
 3  | 
 34.12  | 
 30.82  | 
 29.46  | 
 28.71  | 
 28.24  | 
 27.91  | 
 27.67  | 
 27.49  | 
 27.35  | 
 27.23  | 
| 
 4  | 
 21.20  | 
 18.00  | 
 16.69  | 
 15.98  | 
 15.52  | 
 15.21  | 
 14.98  | 
 14.80  | 
 14.66  | 
 14.55  | 
| 
 5  | 
 16.26  | 
 13.27  | 
 12.06  | 
 11.39  | 
 10.97  | 
 10.67  | 
 10.46  | 
 10.29  | 
 10.16  | 
 10.05  | 
| 
 6  | 
 13.75  | 
 10.92  | 
 9.78  | 
 9.15  | 
 8.75  | 
 8.47  | 
 8.26  | 
 8.10  | 
 7.98  | 
 7.87  | 
| 
 7  | 
 12.25  | 
 9.55  | 
 8.45  | 
 7.85  | 
 7.46  | 
 7.19  | 
 6.99  | 
 6.84  | 
 6.72  | 
 6.62  | 
| 
 8  | 
 11.26  | 
 8.65  | 
 7.59  | 
 7.01  | 
 6.63  | 
 6.37  | 
 6.18  | 
 6.03  | 
 5.91  | 
 5.81  | 
| 
 9  | 
 10.56  | 
 8.02  | 
 6.99  | 
 6.42  | 
 6.06  | 
 5.80  | 
 5.61  | 
 5.47  | 
 5.35  | 
 5.26  | 
| 
 10  | 
 10.04  | 
 7.56  | 
 6.55  | 
 5.99  | 
 5.64  | 
 5.39  | 
 5.20  | 
 5.06  | 
 4.94  | 
 4.85  | 
| 
 11  | 
 9.65  | 
 7.21  | 
 6.22  | 
 5.67  | 
 5.32  | 
 5.07  | 
 4.89  | 
 4.74  | 
 4.63  | 
 4.54  | 
| 
 12  | 
 9.33  | 
 6.93  | 
 5.95  | 
 5.41  | 
 5.06  | 
 4.82  | 
 4.64  | 
 4.50  | 
 4.39  | 
 4.30  | 
| 
 13  | 
 9.07  | 
 6.70  | 
 5.74  | 
 5.21  | 
 4.86  | 
 4.62  | 
 4.44  | 
 4.30  | 
 4.19  | 
 4.10  | 
| 
 14  | 
 8.86  | 
 6.51  | 
 5.56  | 
 5.04  | 
 4.69  | 
 4.46  | 
 4.28  | 
 4.14  | 
 4.03  | 
 3.94  | 
| 
 15  | 
 8.68  | 
 6.36  | 
 5.42  | 
 4.89  | 
 4.56  | 
 4.32  | 
 4.14  | 
 4.00  | 
 3.89  | 
 3.80  | 
| 
 16  | 
 8.53  | 
 6.23  | 
 5.29  | 
 4.77  | 
 4.44  | 
 4.20  | 
 4.03  | 
 3.89  | 
 3.78  | 
 3.69  | 
| 
 17  | 
 8.40  | 
 6.11  | 
 5.18  | 
 4.67  | 
 4.34  | 
 4.10  | 
 3.93  | 
 3.79  | 
 3.68  | 
 3.59  | 
| 
 18  | 
 8.29  | 
 6.01  | 
 5.09  | 
 4.58  | 
 4.25  | 
 4.01  | 
 3.84  | 
 3.71  | 
 3.60  | 
 3.51  | 
| 
 19  | 
 8.18  | 
 5.93  | 
 5.01  | 
 4.50  | 
 4.17  | 
 3.94  | 
 3.77  | 
 3.63  | 
 3.52  | 
 3.43  | 
| 
 20  | 
 8.10  | 
 5.85  | 
 4.94  | 
 4.43  | 
 4.10  | 
 3.87  | 
 3.70  | 
 3.56  | 
 3.46  | 
 3.37  | 
| 
 21  | 
 8.02  | 
 5.78  | 
 4.87  | 
 4.37  | 
 4.04  | 
 3.81  | 
 3.64  | 
 3.51  | 
 3.40  | 
 3.31  | 
| 
 22  | 
 7.95  | 
 5.72  | 
 4.82  | 
 4.31  | 
 3.99  | 
 3.76  | 
 3.59  | 
 3.45  | 
 3.35  | 
 3.26  | 
| 
 23  | 
 7.88  | 
 5.66  | 
 4.76  | 
 4.26  | 
 3.94  | 
 3.71  | 
 3.54  | 
 3.41  | 
 3.30  | 
 3.21  | 
| 
 24  | 
 7.82  | 
 5.61  | 
 4.72  | 
 4.22  | 
 3.90  | 
 3.67  | 
 3.50  | 
 3.36  | 
 3.26  | 
 3.17  | 
| 
 25  | 
 7.77  | 
 5.57  | 
 4.68  | 
 4.18  | 
 3.85  | 
 3.63  | 
 3.46  | 
 3.32  | 
 3.22  | 
 3.13  | 
| 
 26  | 
 7.72  | 
 5.53  | 
 4.64  | 
 4.14  | 
 3.82  | 
 3.59  | 
 3.42  | 
 3.29  | 
 3.18  | 
 3.09  | 
| 
 27  | 
 7.68  | 
 5.49  | 
 4.60  | 
 4.11  | 
 3.78  | 
 3.56  | 
 3.39  | 
 3.26  | 
 3.15  | 
 3.06  | 
| 
 28  | 
 7.64  | 
 5.45  | 
 4.57  | 
 4.07  | 
 3.75  | 
 3.53  | 
 3.36  | 
 3.23  | 
 3.12  | 
 3.03  | 
| 
 29  | 
 7.60  | 
 5.42  | 
 4.54  | 
 4.04  | 
 3.73  | 
 3.50  | 
 3.33  | 
 3.20  | 
 3.09  | 
 3.00  | 
| 
 30  | 
 7.56  | 
 5.39  | 
 4.51  | 
 4.02  | 
 3.70  | 
 3.47  | 
 3.30  | 
 3.17  | 
 3.07  | 
 2.98  | 
| 
 40  | 
 7.31  | 
 5.18  | 
 4.31  | 
 3.83  | 
 3.51  | 
 3.29  | 
 3.12  | 
 2.99  | 
 2.89  | 
 2.80  | 
| 
 60  | 
 7.08  | 
 4.98  | 
 4.13  | 
 3.65  | 
 3.34  | 
 3.12  | 
 2.95  | 
 2.82  | 
 2.72  | 
 2.63  | 
| 
 120  | 
 6.85  | 
 4.79  | 
 3.95  | 
 3.48  | 
 3.17  | 
 2.96  | 
 2.79  | 
 2.66  | 
 2.56  | 
 2.47  | 
| 
 ∞  | 
 6.63  | 
 4.61  | 
 3.78  | 
 3.32  | 
 3.02  | 
 2.80  | 
 2.64  | 
 2.51  | 
 2.41  | 
 2.32  | 
F.99(n1, n2)
n1 = degrees of freedom for numerator n2 = degrees of freedom for denominator
n1
| 
 n2/n1  | 
 12  | 
 15  | 
 20  | 
 24  | 
 30  | 
 40  | 
 60  | 
 120  | 
 ∞  | 
| 
 1  | 
 6106  | 
 6157  | 
 6209  | 
 6235  | 
 6261  | 
 6287  | 
 6313  | 
 6339  | 
 6366  | 
| 
 2  | 
 99.42  | 
 99.43  | 
 99.45  | 
 99.46  | 
 99.47  | 
 99.47  | 
 99.48  | 
 99.49  | 
 99.50  | 
| 
 3  | 
 27.05  | 
 26.87  | 
 26.69  | 
 26.60  | 
 26.50  | 
 26.41  | 
 26.32  | 
 26.22  | 
 26.13  | 
| 
 4  | 
 14.37  | 
 14.20  | 
 14.02  | 
 13.93  | 
 13.84  | 
 13.75  | 
 13.65  | 
 13.56  | 
 13.46  | 
| 
 5  | 
 9.89  | 
 9.72  | 
 9.55  | 
 9.47  | 
 9.38  | 
 9.29  | 
 9.20  | 
 9.11  | 
 9.02  | 
| 
 6  | 
 7.72  | 
 7.56  | 
 7.40  | 
 7.31  | 
 7.23  | 
 7.14  | 
 7.06  | 
 6.97  | 
 6.88  | 
| 
 7  | 
 6.47  | 
 6.31  | 
 6.16  | 
 6.07  | 
 5.99  | 
 5.91  | 
 5.82  | 
 5.74  | 
 5.65  | 
| 
 8  | 
 5.67  | 
 5.52  | 
 5.36  | 
 5.28  | 
 5.20  | 
 5.12  | 
 5.03  | 
 4.95  | 
 4.86  | 
| 
 9  | 
 5.11  | 
 4.96  | 
 4.81  | 
 4.73  | 
 4.65  | 
 4.57  | 
 4.48  | 
 4.40  | 
 4.31  | 
| 
 10  | 
 4.71  | 
 4.56  | 
 4.41  | 
 4.33  | 
 4.25  | 
 4.17  | 
 4.08  | 
 4.00  | 
 3.91  | 
| 
 11  | 
 4.40  | 
 4.25  | 
 4.10  | 
 4.02  | 
 3.94  | 
 3.86  | 
 3.78  | 
 3.69  | 
 3.60  | 
| 
 12  | 
 4.16  | 
 4.01  | 
 3.86  | 
 3.78  | 
 3.70  | 
 3.62  | 
 3.54  | 
 3.45  | 
 3.36  | 
| 
 13  | 
 3.96  | 
 3.82  | 
 3.66  | 
 3.59  | 
 3.51  | 
 3.43  | 
 3.34  | 
 3.25  | 
 3.17  | 
| 
 14  | 
 3.80  | 
 3.66  | 
 3.51  | 
 3.43  | 
 3.35  | 
 3.27  | 
 3.18  | 
 3.09  | 
 3.00  | 
| 
 15  | 
 3.67  | 
 3.52  | 
 3.37  | 
 3.29  | 
 3.21  | 
 3.13  | 
 3.05  | 
 2.96  | 
 2.87  | 
| 
 16  | 
 3.55  | 
 3.41  | 
 3.26  | 
 3.18  | 
 3.10  | 
 3.02  | 
 2.93  | 
 2.84  | 
 2.75  | 
| 
 17  | 
 3.46  | 
 3.31  | 
 3.16  | 
 3.08  | 
 3.00  | 
 2.92  | 
 2.83  | 
 2.75  | 
 2.65  | 
| 
 18  | 
 3.37  | 
 3.23  | 
 3.08  | 
 3.00  | 
 2.92  | 
 2.84  | 
 2.75  | 
 2.66  | 
 2.57  | 
| 
 19  | 
 3.30  | 
 3.15  | 
 3.00  | 
 2.92  | 
 2.84  | 
 2.76  | 
 2.67  | 
 2.58  | 
 2.49  | 
| 
 20  | 
 3.23  | 
 3.09  | 
 2.94  | 
 2.86  | 
 2.78  | 
 2.69  | 
 2.61  | 
 2.52  | 
 2.42  | 
| 
 21  | 
 3.17  | 
 3.03  | 
 2.88  | 
 2.80  | 
 2.72  | 
 2.64  | 
 2.55  | 
 2.46  | 
 2.36  | 
| 
 22  | 
 3.12  | 
 2.98  | 
 2.83  | 
 2.75  | 
 2.67  | 
 2.58  | 
 2.50  | 
 2.40  | 
 2.31  | 
| 
 23  | 
 3.07  | 
 2.93  | 
 2.78  | 
 2.70  | 
 2.62  | 
 2.54  | 
 2.45  | 
 2.35  | 
 2.26  | 
| 
 24  | 
 3.03  | 
 2.89  | 
 2.74  | 
 2.66  | 
 2.58  | 
 2.49  | 
 2.40  | 
 2.31  | 
 2.21  | 
| 
 25  | 
 2.99  | 
 2.85  | 
 2.70  | 
 2.62  | 
 2.54  | 
 2.45  | 
 2.36  | 
 2.27  | 
 2.17  | 
| 
 26  | 
 2.96  | 
 2.81  | 
 2.66  | 
 2.58  | 
 2.50  | 
 2.42  | 
 2.33  | 
 2.23  | 
 2.13  | 
| 
 27  | 
 2.93  | 
 2.78  | 
 2.63  | 
 2.55  | 
 2.47  | 
 2.38  | 
 2.29  | 
 2.20  | 
 2.10  | 
| 
 28  | 
 2.90  | 
 2.75  | 
 2.60  | 
 2.52  | 
 2.44  | 
 2.35  | 
 2.26  | 
 2.17  | 
 2.06  | 
| 
 29  | 
 2.87  | 
 2.73  | 
 2.57  | 
 2.49  | 
 2.41  | 
 2.33  | 
 2.23  | 
 2.14  | 
 2.03  | 
| 
 30  | 
 2.84  | 
 2.70  | 
 2.55  | 
 2.47  | 
 2.39  | 
 2.30  | 
 2.21  | 
 2.11  | 
 2.01  | 
| 
 40  | 
 2.66  | 
 2.52  | 
 2.37  | 
 2.29  | 
 2.20  | 
 2.11  | 
 2.02  | 
 1.92  | 
 1.80  | 
| 
 60  | 
 2.50  | 
 2.35  | 
 2.20  | 
 2.12  | 
 2.03  | 
 1.94  | 
 1.84  | 
 1.73  | 
 1.60  | 
| 
 120  | 
 2.34  | 
 2.19  | 
 2.03  | 
 1.95  | 
 1.86  | 
 1.76  | 
 1.66  | 
 1.53  | 
 1.38  | 
| 
 ∞  | 
 2.18  | 
 2.04  | 
 1.88  | 
 1.79  | 
 1.70  | 
 1.59  | 
 1.47  | 
 1.32  | 
 1.00  | 
F Distribution (α = 5%)
F.95(n1, n2)
n1 = degrees of freedom for numerator n2 = degrees of freedom for denominator
| 
 n2/n1  | 
 1  | 
 2  | 
 3  | 
 4  | 
 5  | 
 6  | 
 7  | 
 8  | 
 9  | 
 10  | 
| 
 1  | 
 161.4  | 
 199.5  | 
 215.7  | 
 224.6  | 
 230.2  | 
 234.0  | 
 236.8  | 
 238.9  | 
 240.5  | 
 241.9  | 
| 
 2  | 
 18.51  | 
 19.00  | 
 19.16  | 
 19.25  | 
 19.30  | 
 19.33  | 
 19.35  | 
 19.37  | 
 19.38  | 
 19.40  | 
| 
 3  | 
 10.13  | 
 9.55  | 
 9.28  | 
 9.12  | 
 9.01  | 
 8.94  | 
 8.89  | 
 8.85  | 
 8.81  | 
 8.79  | 
| 
 4  | 
 7.71  | 
 6.94  | 
 6.59  | 
 6.39  | 
 6.26  | 
 6.16  | 
 6.09  | 
 6.04  | 
 6.00  | 
 5.96  | 
| 
 5  | 
 6.61  | 
 5.79  | 
 5.41  | 
 5.19  | 
 5.05  | 
 4.95  | 
 4.88  | 
 4.82  | 
 4.77  | 
 4.74  | 
| 
 6  | 
 5.99  | 
 5.14  | 
 4.76  | 
 4.53  | 
 4.39  | 
 4.28  | 
 4.21  | 
 4.15  | 
 4.10  | 
 4.06  | 
| 
 7  | 
 5.59  | 
 4.47  | 
 4.35  | 
 4.12  | 
 3.97  | 
 3.87  | 
 3.79  | 
 3.73  | 
 3.68  | 
 3.64  | 
| 
 8  | 
 5.32  | 
 4.46  | 
 4.07  | 
 3.84  | 
 3.69  | 
 3.58  | 
 3.50  | 
 3.44  | 
 3.39  | 
 3.35  | 
| 
 9  | 
 5.12  | 
 4.26  | 
 3.86  | 
 3.63  | 
 3.48  | 
 3.37  | 
 3.29  | 
 3.23  | 
 3.18  | 
 3.14  | 
| 
 10  | 
 4.96  | 
 4.10  | 
 3.71  | 
 3.48  | 
 3.33  | 
 3.22  | 
 3.14  | 
 3.07  | 
 3.02  | 
 2.98  | 
| 
 11  | 
 4.84  | 
 3.98  | 
 3.59  | 
 3.36  | 
 3.20  | 
 3.09  | 
 3.01  | 
 2.95  | 
 2.90  | 
 2.85  | 
| 
 12  | 
 4.75  | 
 3.89  | 
 3.49  | 
 3.26  | 
 3.11  | 
 3.00  | 
 2.91  | 
 2.85  | 
 2.80  | 
 2.75  | 
| 
 13  | 
 4.67  | 
 3.81  | 
 3.41  | 
 3.18  | 
 3.03  | 
 2.92  | 
 2.83  | 
 2.77  | 
 2.71  | 
 2.67  | 
| 
 14  | 
 4.60  | 
 3.74  | 
 3.34  | 
 3.11  | 
 2.96  | 
 2.85  | 
 2.76  | 
 2.70  | 
 2.65  | 
 2.60  | 
| 
 15  | 
 4.54  | 
 3.68  | 
 3.29  | 
 3.06  | 
 2.90  | 
 2.79  | 
 2.71  | 
 2.64  | 
 2.59  | 
 2.54  | 
| 
 16  | 
 4.49  | 
 3.63  | 
 3.24  | 
 3.01  | 
 2.85  | 
 2.74  | 
 2.66  | 
 2.59  | 
 2.54  | 
 2.49  | 
| 
 17  | 
 4.45  | 
 3.59  | 
 3.20  | 
 2.96  | 
 2.81  | 
 2.70  | 
 2.61  | 
 2.55  | 
 2.49  | 
 2.45  | 
| 
 18  | 
 4.41  | 
 3.55  | 
 3.16  | 
 2.93  | 
 2.77  | 
 2.66  | 
 2.58  | 
 2.51  | 
 2.46  | 
 2.41  | 
| 
 19  | 
 4.38  | 
 3.52  | 
 3.13  | 
 2.90  | 
 2.74  | 
 2.63  | 
 2.54  | 
 2.48  | 
 2.42  | 
 2.38  | 
| 
 20  | 
 4.35  | 
 3.49  | 
 3.10  | 
 2.87  | 
 2.71  | 
 2.60  | 
 2.51  | 
 2.45  | 
 2.39  | 
 2.35  | 
| 
 21  | 
 4.32  | 
 3.47  | 
 3.07  | 
 2.84  | 
 2.68  | 
 2.57  | 
 2.49  | 
 2.42  | 
 2.37  | 
 2.32  | 
| 
 22  | 
 4.30  | 
 3.44  | 
 3.05  | 
 2.82  | 
 2.66  | 
 2.55  | 
 2.46  | 
 2.40  | 
 2.34  | 
 2.30  | 
| 
 23  | 
 4.28  | 
 3.42  | 
 3.03  | 
 2.80  | 
 2.64  | 
 2.53  | 
 2.44  | 
 2.37  | 
 2.32  | 
 2.27  | 
| 
 24  | 
 4.26  | 
 3.40  | 
 3.01  | 
 2.78  | 
 2.62  | 
 2.51  | 
 2.42  | 
 2.36  | 
 2.30  | 
 2.25  | 
| 
 25  | 
 4.24  | 
 3.39  | 
 2.99  | 
 2.76  | 
 2.60  | 
 2.49  | 
 2.40  | 
 2.34  | 
 2.28  | 
 2.24  | 
| 
 26  | 
 4.23  | 
 3.37  | 
 2.98  | 
 2.74  | 
 2.59  | 
 2.47  | 
 2.39  | 
 2.32  | 
 2.27  | 
 2.22  | 
| 
 27  | 
 4.21  | 
 3.35  | 
 2.96  | 
 2.73  | 
 2.57  | 
 2.46  | 
 2.37  | 
 2.31  | 
 2.25  | 
 2.20  | 
| 
 28  | 
 4.20  | 
 3.34  | 
 2.95  | 
 2.71  | 
 2.56  | 
 2.45  | 
 2.36  | 
 2.29  | 
 2.24  | 
 2.19  | 
| 
 29  | 
 4.18  | 
 3.33  | 
 2.93  | 
 2.70  | 
 2.55  | 
 2.43  | 
 2.35  | 
 2.28  | 
 2.22  | 
 2.18  | 
| 
 30  | 
 4.17  | 
 3.32  | 
 2.92  | 
 2.69  | 
 2.53  | 
 2.42  | 
 2.33  | 
 2.27  | 
 2.21  | 
 2.16  | 
| 
 40  | 
 4.08  | 
 3.23  | 
 2.84  | 
 2.61  | 
 2.45  | 
 2.34  | 
 2.25  | 
 2.18  | 
 2.12  | 
 2.08  | 
| 
 60  | 
 4.00  | 
 3.15  | 
 2.76  | 
 2.53  | 
 2.37  | 
 2.25  | 
 2.17  | 
 2.10  | 
 2.04  | 
 1.99  | 
| 
 120  | 
 3.92  | 
 3.07  | 
 2.68  | 
 2.45  | 
 2.29  | 
 2.17  | 
 2.09  | 
 2.02  | 
 1.96  | 
 1.91  | 
| 
 ∞  | 
 3.84  | 
 3.00  | 
 2.60  | 
 2.37  | 
 2.21  | 
 2.10  | 
 2.01  | 
 1.94  | 
 1.88  | 
 1.83  | 
F.99 (n1, n2)
n1 = degrees of freedom for numerator n2 = degrees of freedom for denominator
| 
 n2/n1  | 
 12  | 
 15  | 
 20  | 
 24  | 
 30  | 
 40  | 
 60  | 
 120  | 
 ∞  | 
| 
 1  | 
 243.9  | 
 245.9  | 
 248.0  | 
 249.1  | 
 250.1  | 
 251.1  | 
 252.2  | 
 253.2  | 
 254.3  | 
| 
 2  | 
 19.41  | 
 19.43  | 
 19.45  | 
 19.45  | 
 19.46  | 
 19.47  | 
 19.48  | 
 19.49  | 
 19.50  | 
| 
 3  | 
 8.74  | 
 8.70  | 
 8.66  | 
 8.64  | 
 8.62  | 
 8.59  | 
 8.57  | 
 8.55  | 
 8.53  | 
| 
 4  | 
 5.91  | 
 5.86  | 
 5.80  | 
 5.77  | 
 5.75  | 
 5.72  | 
 5.69  | 
 5.66  | 
 5.63  | 
| 
 5  | 
 4.68  | 
 4.62  | 
 4.56  | 
 4.53  | 
 4.50  | 
 4.46  | 
 4.43  | 
 4.40  | 
 4.36  | 
| 
 6  | 
 4.00  | 
 3.94  | 
 3.87  | 
 3.84  | 
 3.81  | 
 3.77  | 
 3.74  | 
 3.70  | 
 3.67  | 
| 
 7  | 
 3.57  | 
 3.51  | 
 3.44  | 
 3.41  | 
 3.38  | 
 3.34  | 
 3.30  | 
 3.27  | 
 3.23  | 
| 
 8  | 
 3.28  | 
 3.22  | 
 3.15  | 
 3.12  | 
 3.08  | 
 3.04  | 
 3.01  | 
 2.97  | 
 2.93  | 
| 
 9  | 
 3.07  | 
 3.01  | 
 2.94  | 
 2.90  | 
 2.86  | 
 2.83  | 
 2.79  | 
 2.75  | 
 2.71  | 
| 
 10  | 
 2.91  | 
 2.85  | 
 2.77  | 
 2.74  | 
 2.70  | 
 2.66  | 
 2.62  | 
 2.58  | 
 2.54  | 
| 
 11  | 
 2.79  | 
 2.72  | 
 2.65  | 
 2.61  | 
 2.57  | 
 2.53  | 
 2.49  | 
 2.45  | 
 2.40  | 
| 
 12  | 
 2.69  | 
 2.62  | 
 2.54  | 
 2.51  | 
 2.47  | 
 2.43  | 
 2.38  | 
 2.34  | 
 2.30  | 
| 
 13  | 
 2.60  | 
 2.53  | 
 2.46  | 
 2.42  | 
 2.38  | 
 2.34  | 
 2.30  | 
 2.25  | 
 2.21  | 
| 
 14  | 
 2.53  | 
 2.46  | 
 2.39  | 
 2.35  | 
 2.31  | 
 2.27  | 
 2.22  | 
 2.18  | 
 2.13  | 
| 
 15  | 
 2.48  | 
 2.40  | 
 2.33  | 
 2.29  | 
 2.25  | 
 2.20  | 
 2.16  | 
 2.11  | 
 2.07  | 
| 
 16  | 
 2.42  | 
 2.35  | 
 2.28  | 
 2.24  | 
 2.19  | 
 2.15  | 
 2.11  | 
 2.06  | 
 2.01  | 
| 
 17  | 
 2.38  | 
 2.31  | 
 2.23  | 
 2.19  | 
 2.15  | 
 2.10  | 
 2.06  | 
 2.01  | 
 1.96  | 
| 
 18  | 
 2.34  | 
 2.27  | 
 2.19  | 
 2.15  | 
 2.11  | 
 2.06  | 
 2.02  | 
 1.97  | 
 1.92  | 
| 
 19  | 
 2.31  | 
 2.23  | 
 2.16  | 
 2.11  | 
 2.07  | 
 2.03  | 
 1.98  | 
 1.93  | 
 1.88  | 
| 
 20  | 
 2.28  | 
 2.20  | 
 2.12  | 
 2.08  | 
 2.04  | 
 1.99  | 
 1.95  | 
 1.90  | 
 1.84  | 
| 
 21  | 
 2.25  | 
 2.18  | 
 2.10  | 
 2.05  | 
 2.01  | 
 1.96  | 
 1.92  | 
 1.87  | 
 1.81  | 
| 
 22  | 
 2.23  | 
 2.15  | 
 2.07  | 
 2.03  | 
 1.98  | 
 1.94  | 
 1.89  | 
 1.84  | 
 1.78  | 
| 
 23  | 
 2.20  | 
 2.13  | 
 2.05  | 
 2.01  | 
 1.96  | 
 1.91  | 
 1.86  | 
 1.81  | 
 1.76  | 
| 
 24  | 
 2.18  | 
 2.11  | 
 2.03  | 
 1.98  | 
 1.94  | 
 1.89  | 
 1.84  | 
 1.79  | 
 1.73  | 
| 
 25  | 
 2.16  | 
 2.09  | 
 2.01  | 
 1.96  | 
 1.92  | 
 1.87  | 
 1.82  | 
 1.77  | 
 1.71  | 
| 
 26  | 
 2.15  | 
 2.07  | 
 1.99  | 
 1.95  | 
 1.90  | 
 1.85  | 
 1.80  | 
 1.75  | 
 1.69  | 
| 
 27  | 
 2.13  | 
 2.06  | 
 1.97  | 
 1.93  | 
 1.88  | 
 1.84  | 
 1.79  | 
 1.73  | 
 1.67  | 
| 
 28  | 
 2.12  | 
 2.04  | 
 1.96  | 
 1.91  | 
 1.87  | 
 1.82  | 
 1.77  | 
 1.71  | 
 1.65  | 
| 
 29  | 
 2.10  | 
 2.03  | 
 1.94  | 
 1.90  | 
 1.85  | 
 1.81  | 
 1.75  | 
 1.70  | 
 1.64  | 
| 
 30  | 
 2.09  | 
 2.01  | 
 1.93  | 
 1.89  | 
 1.84  | 
 1.79  | 
 1.74  | 
 1.68  | 
 1.62  | 
| 
 40  | 
 2.00  | 
 1.92  | 
 1.84  | 
 1.79  | 
 1.74  | 
 1.69  | 
 1.64  | 
 1.58  | 
 1.51  | 
| 
 60  | 
 1.92  | 
 1.84  | 
 1.75  | 
 1.70  | 
 1.65  | 
 1.59  | 
 1.53  | 
 1.47  | 
 1.39  | 
| 
 120  | 
 1.83  | 
 1.75  | 
 1.66  | 
 1.61  | 
 1.55  | 
 1.50  | 
 1.43  | 
 1.35  | 
 1.25  | 
| 
 ∞  | 
 1.75  | 
 1.67  | 
 1.57  | 
 1.52  | 
 1.46  | 
 1.39  | 
 1.32  | 
 1.22  | 
 1.00  | 
Learn more about the Statistical Inference tools for understanding statistics in Six Sigma Demystified (2011, McGraw-Hill) by Paul Keller, in his online Intro. to Statistics short course (only $89) or his online Black Belt certification training course ($875).