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

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Find the standardized test statistic, t , to test the hypothesis that μ1=μ2\mu _ { 1 } = \mu _ { 2 } Two samples are randomly selected and come from populations that are normal. The sample statistics are given below.
n1=25n2=30x1=16x2=14 s1=1.5 s2=1.9\begin{array} { l l } \mathrm { n } _ { 1 } = 25 & \mathrm { n } _ { 2 } = 30 \\\overline { \mathrm { x } } 1 = 16 & \overline { \mathrm { x } } 2 = 14 \\\mathrm {~s} _ { 1 } = 1.5 & \mathrm {~s} _ { 2 } = 1.9\end{array}


Definitions:

Average Variable Cost

is the cost that varies with the level of output, calculated by dividing the total variable costs by the quantity of output produced.

Diminishing Returns

A rule that asserts when one input in the production process is augmented without changes to the others, there will ultimately be a decline in output after reaching a specific level.

Average Fixed Cost

The cost per unit that remains constant regardless of the level of production or output.

Output

The total amount of goods or services produced by a company or economy.

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