Independent Random Samples Selected from Two Normal Populations Produced the Following

question 102

Essay

Independent random samples selected from two normal populations produced the following sample means and standard deviations.
$$\begin{array}{l}\begin{array} { l l } \text { Sample } 1 & \text { Sample 2 } \\n _ { 1 } = 14 & n _ { 2 } = 11 \\\overline { x _ { 1 } } = 7.1 & \bar { x } _ { 2 } = 8.4 \\s _ { 1 } = 2.3 & s _ { 2 } = 2.9\end{array}\\\text { Conduct the test } H _ { 0 } : \left( \mu _ { 1 } - \mu _ { 2 } \right) = 0 \text { against. } H _ { a } : \left( \mu _ { 1 } - \mu _ { 2 } \right) \neq 0 \text {, Use } \alpha = .05 \text {. }\end{array}$$

---

Definitions:

Active Touching

The process of using one’s own touch or motion to explore objects and environment, playing a critical role in sensory perception.

Thalamus

A structure within the brain that acts as a relay station for incoming sensory information, directing it to the appropriate areas in the cortex for processing.

Cerebral Cortex

The outer layer of nerve tissue of the cerebrum of the brain, playing a key role in memory, attention, perception, cognition, awareness, thought, language, and consciousness.

Perceptual Cue

Environmental signals or objects that are used to guide perception or understanding of a particular situation or setting.