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A Study Was Conducted to Determine If the Salaries of Elementary

question 46

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A study was conducted to determine if the salaries of elementary school teachers from two neighboring districts were equal. A sample of 15 teachers from each district was randomly selected. The mean from the first
District was $28,900 with a standard deviation of $2300. The mean from the second district was $30,300 with a
Standard deviation of $2100. Assume the samples are random, independent, and come from populations that
Are normally distributed. Construct a 95% confidence interval for μ1μ2\mu _ { 1 } - \mu _ { 2 } Assume that σ12=σ22\sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 } \text {. }


Definitions:

Sensory Adaptation

A process in which sensory receptors progressively lose sensitivity to constant external stimuli over time.

Novel Stimuli

New or unfamiliar stimuli that can attract attention and provoke responses not conditioned by previous experience.

Visible Light

The portion of the electromagnetic spectrum that is visible to the human eye, responsible for the sense of sight.

Wavelength

The distance between successive crests of a wave, typically used in the context of electromagnetic waves.

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