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A Start-Up Cell Phone Applications Company Is Interested in Determining

question 31

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A start-up cell phone applications company is interested in determining whether house-hold incomes are different for subscribers to three different service providers.A random sample of 25 subscribers to each of the three service providers was taken,and the annual household income for each subscriber was recorded.The partially completed ANOVA table for the analysis is shown here: A start-up cell phone applications company is interested in determining whether house-hold incomes are different for subscribers to three different service providers.A random sample of 25 subscribers to each of the three service providers was taken,and the annual household income for each subscriber was recorded.The partially completed ANOVA table for the analysis is shown here: Based on the sample results,can the start-up firm conclude that there is a difference in household incomes for subscribers to the three service providers? You may assume normal distributions and equal variances.Conduct your test at the alpha= 0.10 level of significance.Be sure to state a critical F-statistic,a decision rule,and a conclusion. A) H<sub>0</sub><sub> </sub>: µ<sub>1</sub> = µ<sub>2</sub> = µ<sub>3</sub> H<sub>A</sub>: Not all populations have the same mean F = MSB/MSW = 1,474,542,579/87,813,791 = 16.79 Because the F test statistic = 16.79 > F<sub>α</sub> = 2.3778,we do reject the null hypothesis based on these sample data. B) H<sub>0</sub><sub> </sub>: µ<sub>1</sub> = µ<sub>2</sub> = µ<sub>3</sub> H<sub>A </sub>: Not all populations have the same mean F = MSB/MSW = 87,813,791 /1,474,542,579= 0.060 Because the F test statistic = 0.060 < F<sub>α</sub> = 2.3778,we do not reject the null hypothesis based on these sample data. C) H<sub>0 </sub>: µ<sub>1</sub> = µ<sub>2</sub> = µ<sub>3</sub> H<sub>A </sub>: Not all populations have the same mean F = SSW/MSW = 6,322,592,933/87,813,791 = 72 Because the F test statistic = 72 > F<sub>α</sub> = 2.3778,we do reject the null hypothesis based on these sample data. D) H<sub>0 </sub>: µ<sub>1</sub> = µ<sub>2</sub> = µ<sub>3</sub> H<sub>A </sub>: Not all populations have the same mean F = SSW/MSW = 6,322,592,933/1,474,542,579= 4.28 Based on the sample results,can the start-up firm conclude that there is a difference in household incomes for subscribers to the three service providers? You may assume normal distributions and equal variances.Conduct your test at the alpha= 0.10 level of significance.Be sure to state a critical F-statistic,a decision rule,and a conclusion.

Definitions:

Memorandum of Understanding

A document outlining the preliminary agreements between two or more parties before the finalization of a contract.

Cursive Initials

Handwritten letters of a person's name executed in script as a form of identification or signature.

Ambiguities

Uncertainties or doubts in the meaning or interpretation of words, phrases, or legal provisions.

Drafted Agreement

A preliminary version of a contract or legal agreement that is subject to discussions, revisions, and finalization.

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