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 |
| |
|
|
Distribution is symmetric |
| 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 |

|
| 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 |
 |
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 |
 |
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 |
 |
Accept |
Accept |
Accept |
| H1: p1 <> p2 |
H1: p1 < p2 |
H1: p1 > p2 |