- To determine which hypothesis test procedure needs to be used
|Private college||Public college|
The t-test should be the optimum choice because it will determine the result by two independent samples of two population means. If you want to check whether the variance is equal or not, then two-sample variance test can be applied.
N1 = 75 n2 = 205 x1 = 28100 x2 = 2200 s1 = 2050 s2 = 2084
Ho s1 = s2 no difference in variance
Ho s1 ≠ s2 two tail test
Level of significance
S1 = n1 s1 / n1 -1 = 75 x 2050/ 74 = 2077.7
S2 = n2 s2 / n2 -1 = 205 x 2084/204 = 2094.2
2077.7 / 2094.2 = 0.992
- Indicate the appropriate test that should be used to determine if a difference exists
T-test is the test that can be used if a difference is present. But if a difference is not present then two tail tests should be done.