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Test Hypotheses Regarding the Difference of Two Independent Means
-Test μ1=μ2\mu _ { 1 } = \mu _ { 2 }

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Test Hypotheses Regarding the Difference of Two Independent Means
-Test the hypothesis that μ1=μ2\mu _ { 1 } = \mu _ { 2 } . Two samples are randomly selected from each population. The sample statistics are given below. Use α=0.05\alpha = 0.05 .
n1=50n2=60x1=30x2=28 s1=1.5 s2=1.9\begin{array} { l c } \mathrm { n } _ { 1 } = 50 & \mathrm { n } _ { 2 } = 60 \\\overline { \mathrm { x } } 1 = 30 & \overline { \mathrm { x } _ { 2 } } = 28 \\\mathrm {~s} _ { 1 } = 1.5 & \mathrm {~s} _ { 2 } = 1.9\end{array}

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Definitions:

Sensory Deprivation

The intentional reduction or removal of stimuli from one or more of the senses, which can lead to increased sensitivity in the remaining senses or to mental effects such as hallucination.

Older-Adult

An individual who is typically defined as being in the later stage of life, often considered to be of age 65 years or older.

Cognitive

Pertaining to the mental processes involved in gaining knowledge and comprehension, including thinking, knowing, remembering, judging, and problem-solving.

Affective

Related to moods, feelings, and attitudes; an aspect of psychology that studies emotions and their effect.

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