An algebra teacher believes that the variances of test scores of students in her evening algebra class are lowerthan the variances of test scores of students in her morning class. The results of an exam, given to the morningand evening students, are shown below. Can the teacher conclude that her evening students have a lowervariance? Use α = 0.01. $$\begin{array} { l l }
\text { Evening Students } & \text { Morning Students } \
\mathrm { n } _ { 1 } = 41 & \mathrm { n } _ { 2 } = 36 \
\mathrm {~s} _ { 1 } = 18.55 & \mathrm {~s} _ { 2 } = 34.3
\end{array}$$ Assume the samples were randomly selected from normal populations.

Question

An algebra teacher believes that the variances of test scores of students in her evening algebra class are lowerthan the variances of test scores of students in her morning class. The results of an exam, given to the morningand evening students, are shown below. Can the teacher conclude that her evening students have a lowervariance? Use α = 0.01. $$\begin{array} { l l } 
\text { Evening Students } & \text { Morning Students } \
\mathrm { n } _ { 1 } = 41 & \mathrm { n } _ { 2 } = 36 \
\mathrm {~s} _ { 1 } = 18.55 & \mathrm {~s} _ { 2 } = 34.3
\end{array}$$ Assume the samples were randomly selected from normal populations.

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The Answer of An algebra teacher believes that the variances of test scores of students in her evening algebra class are lowerthan the variances of test scores of students in her morning class. The results of an exam, given to the morningand evening students, are shown below. Can the teacher conclude that her evening students have a lowervariance? Use α = 0.01. $$\begin{array} { l l } 
\text { Evening Students } & \text { Morning Students } \
\mathrm { n } _ { 1 } = 41 & \mathrm { n } _ { 2 } = 36 \
\mathrm {~s} _ { 1 } = 18.55 & \mathrm {~s} _ { 2 } = 34.3
\end{array}$$ Assume the samples were randomly selected from normal populations.

An Algebra Teacher Believes That the Variances of Test Scores