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

question 100

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) \(1.17\)
• B) \(.857\)
• C) \(.735\)
• D) \(1.36\)

---

Definitions:

Labor Efficiency Variance

The difference between the actual hours worked and the standard hours expected for the actual production level, multiplied by the standard labor rate.

Direct Materials

The raw materials that are directly traceable to a finished product and are an integral part of the finished product.

Standard Costs

Predetermined costs for material, labor, and overhead used as benchmarks against which to compare the actual production costs.

Direct Material

Raw materials that are directly traced and assigned to the production of a specific product.