In a Water-Bottling Facility, Several Machines Fill Plastic Bottles with 16

question 20

Short Answer

In a water-bottling facility, several machines fill plastic bottles with 16 ounces of drinking water.
The following TI-84 Plus display presents the results of a one-way ANOVA to determine whether the mean fill volumes differ among the filling machines. i). State the null hypothesis.
ii). How many filling machines were involved in the study?
iii). Assume the design was balanced. How many water bottles were measured for each filling machine?
iv). What are the values of SSTr, SSE, MSTr, and MSE?
v). What is the value of the test statistic?
vi). What is the P-value?
vii). Can you conclude that the mean fill volume differs among the filling machines? Use the $\alpha = 0.0$ level
of significance.

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Definitions:

Social Facilitation

The tendency for people to perform differently when in the presence of others than when alone, typically improving on simple tasks and performing worse on complex tasks.

Dominant Response

In social psychology, the most common or likely behavior a person displays in response to a specific stimulus or situation.

Arousal

Refers to the physiological and psychological state of being awoken or stimulated to action.

Asch

Refers to Solomon Asch, a psychologist known for his research on conformity and social pressure.