Test the Claim That the Samples Come from Populations with the Same

question 61

Essay

Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance.
-Given the sample data below, test the claim that the populations have the same mean. Use a significance level of 0.05.

$\begin{array} { l } \text { Brand A}&\text { Brand B}&\text { Brand C }\\\hlinen=10 & n=10 & n=10 \\\bar{x}=32.9 & \bar{x}=31.6 & \bar{x}=27.1 \\s^{2}=3.16 & s^{2}=3.04 & s^{2}=4.66\end{array}$

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Definitions:

Financial Advantage

A benefit in monetary terms that allows a business or individual to have a better position compared to competitors or the market average.

Special Order

An order that is outside a company's normal production schedule, often requiring customization and priced differently from standard products.

Milling Machine Time

The duration or amount of time a milling machine is used in the production process, often considered a manufacturing overhead cost.

Additional Minute

An extra unit of time added to a process or activity beyond the original plan.