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The Population of Soft Drink Cans Filled by a Particular

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The population of soft drink cans filled by a particular machine is known to be normally distributed with a mean equal to 12 ounces and a standard deviation equal to .25 ounce. Given this information, the sampling distribution for a random sample of n = 25 cans will also be normally distributed with a mean equal to 12 ounces and a standard deviation equal to .05 ounce.


Definitions:

Factorial ANOVA

A statistical test used to evaluate whether there are any significant differences between the means of three or more groups for two or more factors simultaneously.

Main Effects

The immediate effect that an independent variable has on a dependent variable within an experimental setup.

Factorial ANOVA

A statistical analysis used to examine the effects of two or more categorical independent variables on one continuous dependent variable.

T-test

A statistical method employed to evaluate if there's a significant difference between the average values of two distinct groups.

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