Does the salary of human resource managers depend on the sex - Research Paper Example

Does the salary of human resource managers depend on the sex?Male and female human resource managers are assumed to be earning equal salaries yet there is no sufficient evidence to prove this claim. Thus, from a data of independent samples of ten females and ten males, their salaries are collected and recording independently. This implies that the two independent populations have different descriptive statistics such as mean, variances and standard deviations that can form a basis for comparison.

In order to determine if the means of the two populations are equal, the t-test is deemed to be the most appropriate test. This test shall assume equal variances in the hypothesis testing whereby 95% confidence level and a pooled standard deviation shall be considered. The critical value is of a two-tail test which will form the rejection regions.T statisticT statistic for two independent samples is given by the following formula:T = Where n1 = 10, n2 =10, s1 = 9330.952077, s2 = 6912.950809, xbar = 62200, ybar = 63700 Sp = 8211.

442Thus, T = T = -0.4084668Research QuestionAre salaries for female human resource directors equal to the salaries for male human resource directors? HypothesisThe mean salary for female human resource directors is equal to mean salary for male human resource directors.H0: Mean salary for female human resource directors is equal to the mean salary for male human resource directorsVs. Ha: Mean salary for female human resource directors is not equal to the mean salary for male human resource directorsThe above hypothesis can also be written as follows: Assuming equal variances for the two independent variables, the degrees of freedom is given by the following formula: v = n1 + n2 -2 v = 18.

Thus, at 95% confidence level, we can find the critical region using α = 0.05.The t critical value (two-tail) is t0.05/2, 18 = 2.101 and the critical region for this test is |T| > 2.101; which is the rejection region. Since the absolute calculated t value is less than the critical value (0.4084668 < 2.101), we fail to reject the null hypothesis of the test. Thus, we can conclude that at 5% level of significance, the mean salary for female human resource directors is equal to the mean salary for male human resource directors.

Moreover, as much as the means for the two independent samples are literary not equal, the t test has statistically proven that female human resource managers’ salaries are not different from that of male human resource managers. This is an indication that human resource management as a profession do not vary greatly regardless of the gender of directors. ReferencesKoch, K. (1999). Parameter Estimation and Hypothesis Testing in Linear Models. Springer Science & Business Media. Print Sheskin, D. (2000). Handbook of Parametric and Nonparametric Statistical Procedures.

UK: Taylor & Francis. print