Based on our sample, how do you interpret the results and what do these results suggest about the population means for male and female average salaries?
Males Females
Ho: Mean salary = 45 Ho: Mean salary = 45
Ha: Mean salary =/= 45 Ha: Mean salary =/= 45
Note: While the results both below are actually from Excel's t-Test: Two-Sample Assuming Unequal Variances,
having no variance in the Ho variable makes the calculations default to the one-sample t-test outcome - we are tricking Excel into doing a one sample test for us.
Male Ho Female Ho
Mean 52 45 Mean 38 45
Variance 316 0 Variance 334.6666667 0
Observations 25 25 Observations 25 25
Hypothesized Mean Difference 0 Hypothesized Mean Difference 0
df 24 df 24
t Stat 1.968903827 t Stat -1.913206357
P(T<=t) one-tail 0.03030785 P(T<=t) one-tail 0.033862118
t Critical one-tail 1.71088208 t Critical one-tail 1.71088208
P(T<=t) two-tail 0.060615701 P(T<=t) two-tail 0.067724237
t Critical two-tail 2.063898562 t Critical two-tail 2.063898562
Conclusion: Do not reject Ho; mean equals 45 Conclusion: Do not reject Ho; mean equals 45
Is this a 1 or 2 tail test? Is this a 1 or 2 tail test?
- why? - why?
P-value is: P-value is:
Is P-value > 0.05? Is P-value > 0.05?
Why do we not reject Ho? Why do we not reject Ho?