Find the Critical Values $\mathrm { t } _ { 0 } ,$

question 28

Multiple Choice

Find the critical values, $\mathrm { t } _ { 0 } ,$ to test the claim that $\mu _ { 1 } = \mu 2$ Two samples are random, independent, and come from populations that are normal. The sample statistics are given below. Assume that $\sigma _ { 1 } ^ { 2 } \neq \sigma _ { 2 } ^ { 2 } \text {. }$ Use $\alpha$ = 0.05. $$\begin{array} { l } \mathrm { n } _ { 1 } = 25 \\\overline { \mathrm { x } } 1 = 17 \\\mathrm {~s} _ { 1 } = 1.5\end{array}$$ $$\begin{array} { l } \mathrm { n } _ { 2 } = 30 \\\overline { \mathrm { x } _ { 2 } } = 15 \\\mathrm {~s} _ { 2 } = 1.9\end{array}$$

• A) \(\pm 2.064\)
• B) \(\pm 2.797\)
• C) \(\pm 1.711\)
• D)± \(\pm 2.492\)

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Definitions:

Opportunity Cost

The benefit that is missed or foregone when choosing one alternative over another.

Excess Capacity

A situation where a company's production facilities are capable of producing more than the demand for its products or services.

Direct Expenses

Costs that can be directly attributed to the production of specific goods or services, such as raw materials and direct labor.

Excess Capacity

The situation where a company can produce more goods or services than currently demanded, indicating underutilization of resources.