Question

11. Are Male Professors and Female Professors rated differently. Listed below are student evaluation scores of female and male professors. Test the claim that female and male professors have the same mean evaluation rating.

Females 4.4 3.4 4.8 2.9 4.4 4.9 3.5 3.7 3.4 4.8

Males 4/0 3.6 4.1 4.1 3.5 4.6 4.0 4.3 4.5 4.3

Answer 1

Male

This is a two-sided test because the alternative hypothesis is formulated to detect differences from the hypothesized difference in mean values on either side.

Now, the value of test static can be found out by following formula:

Using Excel's function =T.DIST.2T(|t_0|,n-1), the P-value for t_0 = -0.3152 in an t-test with 18 degrees of freedom can be computed as P =

Since P = 0.75623 > 0.05, we fail to reject the null hypothesis H_0 at \alpha = 0.05

Degrees of freedom on the t-test statistic are n1 + n2 - 2 = 10 + 10 - 2 = 18

For

we fail to reject the null hypothesis H0 at \alpha=0.05.

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