Test the Hypothesis That $\mu _ { 1 } \neq \mu _ { 2 }$

question 43

Essay

Test the hypothesis that $\mu _ { 1 } \neq \mu _ { 2 }$ . Two samples are randomly selected from each population. The sample statistics are given below. Use $\alpha = 0.02$ .
$$\begin{array} { l l } \mathrm { n } _ { 1 } = 51 & \mathrm { n } _ { 2 } = 38 \\\overline { \mathrm { x } } 1 = 3.9 & \overline { \mathrm { x } } 2 = 4.3 \\\mathrm {~s} 1 = 0.76 & \mathrm {~s} _ { 2 } = 0.51\end{array}$$

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Definitions:

Sound Waves

Sounds that move through air or a different substance and become audible when they arrive at a person's or animal's eardrum.

Frequencies

The rate at which a vibration occurs that constitutes a wave, either in a material (as in sound waves) or in an electromagnetic field (as in radio waves and light), usually measured in hertz.

Hz

Hertz, a unit of frequency in the International System of Units (SI) that measures the number of cycles per second of any periodic event.

Temporal Lobe

A region of the cerebral cortex involved in processing auditory information and is also important in understanding language, learning, and memory.