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s1=20.4,n1=16, s2=21.9,n2=13\mathrm { s } _ { 1 } = 20.4 , \mathrm { n } _ { 1 } = 16 , \mathrm {~s} _ { 2 } = 21.9 , \mathrm { n } _ { 2 } = 13

question 71

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s1=20.4,n1=16, s2=21.9,n2=13\mathrm { s } _ { 1 } = 20.4 , \mathrm { n } _ { 1 } = 16 , \mathrm {~s} _ { 2 } = 21.9 , \mathrm { n } _ { 2 } = 13 left-tailed test, α\alpha
=0.10
Test the hypothesis that σ1<σ2 at the α=0.10\sigma _ { 1 } < \sigma _ { 2 } \text { at the } \alpha = 0.10 level of significance for the given sample data.
 Population 1  Population 2 n1613 s20.421.9\begin{array} { c | c c } & \text { Population 1 } & \text { Population 2 } \\\hline \mathrm { n } & 16 & 13 \\\mathrm {~s} & 20.4 & 21.9\end{array}

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Definitions:

Independent Variable

In an experiment, the variable that is manipulated or changed by the researcher to observe its effect on the dependent variable.

Dependent Variable

A variable in an experiment that is expected to change as a result of manipulations of the independent variable.

Extraneous Variable

Any variable in a scientific experiment that is not the independent or dependent variable but may affect the results of the experiment if not properly controlled.

Random Assignment

A method used in experiments where participants are allocated to different groups purely by chance, minimizing pre-existing differences between those groups.

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