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choose the correct decision and summary about an hypothesis
You are testing the claim that the mean GPA of night students is different than the mean GPA of day students. You sample 30 night students and 30 day students. Test the claim using a 1% level of significance. Assume the population standard deviations are unequal.
t-Test: Two-Sample Assuming Unequal Variances |
||
|
|
|
|
Night |
Day |
Mean |
2.98767 |
3.3432 |
Variance |
0.29009 |
0.266482 |
Observations |
30 |
30 |
Hypothesized Mean Difference |
0 |
|
df |
58 |
|
t Stat |
-2.6102 |
|
P(T<=t) one-tail |
0.0057 |
|
t Critical one-tail |
1.6716 |
|
P(T<=t) two-tail |
0.01149 |
|
t Critical two-tail |
2.0017 |
The Hypotheses for this problem are:
H0: μ1 = μ2
H1: μ1 μ2
Choose the correct decision and summary based on the p-value.