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A start-up cell phone applications company is interested in determining whether household incomes are different for subscribers to three different service providers. A random sample
A start-up cell phone applications company is interested in determining whether household 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 below. Complete parts a and b below. Click the icon to view the partially completed ANOVA table. a. Complete the ANOVA table by filling in the missing sums of squares, the degrees of freedom for each source, the mean square, and the calculated F-test statistic. ANOVA Source of Variation SS df MS F Between groups 2,953,363,083 Within groups 5765,575069 Total 9,718,938, 152 (Round sums of squares, degrees of freedom, and mean squares to the nearest integer as needed. Round F to two decimal places as needed.) b. 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 a = 0.05 level of significance. Be sure to state a critical F-statistic, a decision rule, and a conclusion. Identify the hypotheses for the test. Choose the correct answer below. O A. HO: H1 = H2 = H3 OB. HO: My # H2 # H3 HA: All of the population means are different HA: At least two of the population means are equal O C. Ho. H1 = H2 = M3 OD. HO: My # H2 # H3 HA: At least two of the population means are different HA: All of the population means are equal State the decision rule at the a = 0.05 level of significance. Select the correct choice below and fill in any answer boxes in your choice. (Round to four decimal places as needed.) O A. IfF , reject the null hypothesis. Otherwise, do not reject. O B. If F
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