Perform the Indicated Hypothesis Test $$\sigma _ { 1 } ^ { 2 } \neq \sigma _ { 2 }^ { 2 }$$

question 70

Essay

Perform the indicated hypothesis test. Be sure to do the following: identify the claim and state the null and alternative
hypotheses. Determine the critical value and rejection region. Calculate the test statistic. Decide to reject or to fail to
reject the null hypothesis and interpret the decision in the context of the original claim. Assume that the samples are
independent and that each population has a normal distribution.
-Test the claim that $$\sigma _ { 1 } ^ { 2 } \neq \sigma _ { 2 }^ { 2 }$$ Two samples are randomly selected from populations that are normal. The
sample statistics are given below. Use $$\alpha = 0.02$$ $$\begin{array} { l l } \mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 18 \\\\\mathrm {~s} { } _ { 1 } ^ { 2 } = 2.89 & \mathrm {~s} { } _ { 2 } ^ { 2 } = 1.3\end{array}$$

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Definitions:

Equivalent Units

A concept in cost accounting used to estimate the amount of finished goods produced from raw materials and partial productions.

Units Transferred Out

In a production or manufacturing process, this refers to the number of units completed and moved out of a process or department during a given period.

Weighted-Average Method

An inventory costing method that calculates the cost of goods sold and ending inventory based on the average cost of all items available for sale during the period.

First-In, First-Out Methods

An inventory valuation method where the first items produced or purchased are the first ones sold, affecting the cost of goods sold and inventory valuation.