Independent Random Samples Were Selected from Each of Two Normally $n _ { 1 } = 7$

question 68

Multiple Choice

Independent random samples were selected from each of two normally distributed populations, $n _ { 1 } = 7$ from population 1 and $n _ { 2 } = 9$ from population 2 . The data are shown below.
$\begin{array} { l l l l l l l l } \text { Population 1: } & 2.5 & 3.1 & 2.3 & 1.8 & 4.2 & 3.5 & 3.9 \end{array}$
$\begin{array} { l l l l l l l l l l } \text { Population 2: } & 2.9 & 1.7 & 4.6 & 3.5 & 3.7 & 2.8 & 4.6 & 3.4 & 1.9 \end{array}$

Find the test statistic for the test of $H _ { 0 } : \sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } 2$ against $H _ { \mathrm { a } } : \sigma _ { 1 } ^ { 2 } \neq \sigma _ { 2 } ^ { 2 }$ .

• A) 1.36
• B) .857
• C) .735
• D) 1.17

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