Calculate the Test Statistic F to Test the Claim That $$\sigma _ { 1 } ^ { 2 } \leq \sigma _ { 2 } ^ { 2 }$$

question 79

Multiple Choice

Calculate the test statistic F to test the claim that $$\sigma _ { 1 } ^ { 2 } \leq \sigma _ { 2 } ^ { 2 }$$ Two samples are randomly selected from populations that are normal. The sample statistics are given below. $$\begin{array} { l l } \mathrm { n } _ { 1 } = 16 & \mathrm { n } _ { 2 } = 15 \\\\\mathrm {~s} _ { 1 } ^ { 2 } = 12.615 & \mathrm {~s} _ { 2 } ^ { 2 } = 11.76\end{array}$$

• A)1.073
• B)0.932
• C)1.036
• D)1.151

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Definitions:

Taxes

Compulsory financial charges or some other type of levy imposed upon a taxpayer by a governmental organization in order to fund government spending and various public expenditures.

Unemployment

A situation where individuals who are capable of working and are seeking work are unable to find employment.

Natural Rate of Unemployment

The level of unemployment that exists when the labor market is in equilibrium, including frictional and structural unemployment but not cyclical unemployment.

Long-run Phillips Curve

A graphical representation indicating that in the long-term, there is no trade-off between inflation and unemployment, implying that the curve is vertical.