Consider the Following Set of Salary Data To Determine If Women Have a Higher Mean Salary Than

Short Answer

Consider the following set of salary data: $\begin{array}{lrr}\hline & \text { Men (1) } & \text { Women (2) } \\\hline \text { Sample Size } & 100 & 80 \\\text { Mean } & \$ 12,850 & \$ 13,000 \\\text { Standard Deviation } & \$ 345 & \$ 500 \\\hline\end{array}$

To determine if women have a higher mean salary than men, we would test:
A) $H _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0$ vs. $H _ { \mathrm { a } } : \mu _ { 1 } - \mu _ { 2 } < 0$
B) $H _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0$ vs. $H _ { a } : \mu _ { 1 } - \mu _ { 2 } \neq 0$
C) $H _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0$ vs. $H _ { a } : \mu _ { 1 } - \mu _ { 2 } > 0$
D) $H _ { 0 } : \mu _ { 1 } - \mu _ { 2 } = 0$ vs. $H _ { a } : \mu _ { 1 } - \mu _ { 2 } = 0$