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In Order to Test to See If There Is Any  Method I  Method II  Method III 182170162170192166179190\begin{array}{lll}\text { Method I }&\text { Method II }&\text { Method III }\\182 & 170 & 162 \\170 & 192 & 166 \\179 & 190 &\end{array}

question 115

Essay

In order to test to see if there is any significant difference in the mean number of units produced per week by each of three production methods, the following data were collected. Please note that the sample sizes are not equal.)
 Method I  Method II  Method III 182170162170192166179190\begin{array}{lll}\text { Method I }&\text { Method II }&\text { Method III }\\182 & 170 & 162 \\170 & 192 & 166 \\179 & 190 &\end{array}
a. Compute .
b. At the α = 0.05 level of significance, is there any difference in the mean number of units produced per week by each method? Show the complete ANOVA table. Use both the critical and p-value approaches.


Definitions:

Absorption Costing

A system in accounting that compiles all the expenses tied to production, such as direct material costs, direct labor payments, and both styles of manufacturing overhead, fixed and variable, and applies them to the price of a product.

Fixed Manufacturing Overhead

Costs that do not vary with the level of production, such as rent for the manufacturing facility or salaries of permanent staff.

Common Fixed Expenses

Costs that are shared across different segments or departments of a business and do not vary with the level of production or sales.

On-Site Supervisor

An individual responsible for overseeing and managing workers or operations at a specific physical location.

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