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

question 15

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. $H _ { a } : \mu _ { 1 } - \mu _ { 2 } = 0$

• 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. \(H _ { a } : \mu _ { 1 } - \mu _ { 2 } = 0\)

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Definitions:

Scoria Cone

A small, steep volcanic cone built from lava fragments (scoria) ejected during gas-charged explosive eruptions.

Pumice

A light, porous volcanic rock formed from explosive eruptions, known for its ability to float on water.

Welded Tuff

A type of rock formed from volcanic ash ejected during an eruption, which then falls and welds together under high temperature and pressure.

Feldspar

A group of rock-forming silicate minerals that make up a significant portion of the Earth's crust, commonly found in igneous, metamorphic, and sedimentary rocks.