Determine whether or not there exists a statistically significant difference between the salaries of female and male human resource managers using the appropriate t-test.

Testable Hypothesis:
H0: The median male and female salary for HR directors is the same.
HA: The median male and female salary for HR directors is different.
Confident level : 95% or α = 0.05
Degrees of freedom : df= (n₁ – 1) + (n₂ – 1) where n1 and n2 represents sample sizes for each group here which are equal i.e 8

Calculation for “t” value for independent groups : T-score = [(Mean(x)- Mean(y))/Standard Error]=([6300-5650]/ 505)/√2=[3.98 , 4]

Calculator for Critical Value on Table A: t-distribution at degree of freedom 15 and alpha 5 %

The calculated “t” value of 4 exceeds this critical value, indicating that there exists a statistically significant difference between the salaries of female and male human resource managers at α = 0.05 confidence level with 8 degrees of freedom.

Our null hypothesis can be rejected and we accept the alternative hypothesis that gender has an impact on salaries for human resource managers.