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Find the Standardized Test Statistic to Test the Hypothesis That μ1=μ2\mu _ { 1 } = \mu _ { 2 }

question 95

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Find the standardized test statistic to 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=40n2=35x1=18x2=19 s1=2.5 s2=2.8\begin{array} { l l } \mathrm { n } _ { 1 } = 40 & \mathrm { n } _ { 2 } = 35 \\\overline { \mathrm { x } } 1 = 18 & \overline { x _ { 2 } } = 19 \\\mathrm {~s} _ { 1 } = 2.5 & \mathrm {~s} _ { 2 } = 2.8\end{array}


Definitions:

Compound Light Microscope

A microscope that uses a series of lenses to magnify objects in stages, including an objective lens near the specimen and an eyepiece to view the magnified image.

Clear Focus

The act or state of concentrating or maintaining a sharp visual or mental clarity.

Ocular Lens

The transparent structure inside the eye that focuses light rays onto the retina to create clear images.

Working Distance

The distance between the objective lens of a microscope and the specimen being observed.

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