ANOVA Table the Excel/MegaStat Output Given Above Summarizes the Results

question 23

Multiple Choice

ANOVA table The Excel/MegaStat output given above summarizes the results of a one-way analysis of variance in an attempt to compare the performance characteristics of four brands of vacuum cleaners.The response variable is the amount of time it takes to clean a specific size room with a specific amount of dirt.At a significance level of .05,the null hypothesis for the ANOVA F test is rejected.Analysis of the Tukey simultaneous confidence intervals shows that at the significance level (experimentwise) of .05,we would conclude that

• A) all four brands of vacuum cleaners differ from each other in terms of their performance.
• B) brand 1 differs from brand 2,and brand 2 differs from brand 3,while the rest of the vacuum cleaner pairs do not differ from each other in terms of their performance.
• C) brand 1 differs from brand 2,and brand 3 differs from brands 1,2,and 4,while the rest of the vacuum cleaner pairs do not differ from each other in terms of their performance.
• D) only brand 3 differs from the other three brands (brands 1,2,and 3),while the rest of the vacuum cleaner pairs do not differ from each other in terms of their performance.
• E) none of the four brands of vacuum cleaners differ from each other in terms of their performance.

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Definitions:

Confidence interval estimate

A range or interval of values, calculated from the sample data, within which the true population parameter is expected to lie, with a certain level of confidence.

Systolic blood pressure

The pressure in the arteries when the heart beats and fills them with blood.

Population mean

The average of a set of characteristics or values for the entire population.

Confidence interval estimate

A range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter, given a specified level of confidence.