A start-up cell phone applications company is interested in determining whether household incomes are different for subscribers to two different service providers. A random sample of 25 subscribers to each of the two 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. 2 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 3,233,927,586 ? ? ? Within groups ? ? ? ? Total 9,519,942,048 ? ? ? (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 two service providers? You may assume normal distributions and equal variances. Conduct your test at the = 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. A. H0: 1≠ 2 HA: At least two of the population means are equal C. H0: 1= 2 HA: All of the population means are different B. H0: 1= 2 HA: At least two of the population means are different D. H0: 1≠ 2 HA: All of the population means are equal State the decision rule at the = 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.) If F <_____________ reject the null hypothesis. Otherwise, do not reject. If F <______________ ir F> ______________ reject the null hypothesis. Otherwise, do not reject. If F >_______________ reject the null hypothesis. Otherwise, do not reject. Compute the F-test statistic. F=____________ (Round to two decimal places as needed.) Reach a decision. (1)___________ the null hypothesis. There is (2)__________ incomes for subscribers to the two service providers. 2: ANOVA Source of Variation SS DF MS F Between groups 3,233,927,586 ? ? ? Within groups ? ? ? ? Total 9,519,942,048 ? ? ? 1) Reject do not reject 2) sufficient Insufficient
A start-up cell phone applications company is interested in determining whether household incomes are different for subscribers to two different service providers. A random sample of 25 subscribers to each of the two 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.
2 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 |
3,233,927,586 |
? | ? | ? |
|
Within groups |
? | ? | ? | ? |
|
Total |
9,519,942,048 |
? | ? | ? |
(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 two service providers? You may assume
Identify the hypotheses for the test. Choose the correct answer below.
A. H0: 1≠ 2
HA: At least two of the population means
are equal
C. H0: 1= 2
HA: All of the population means are different
B. H0: 1= 2
HA: At least two of the population means
are different
D. H0: 1≠ 2
HA: All of the population means are equal
State the decision rule at the = 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.)
-
If F <_____________ reject the null hypothesis. Otherwise, do not reject.
-
If F <______________ ir F> ______________ reject the null hypothesis. Otherwise, do not reject.
-
If F >_______________ reject the null hypothesis. Otherwise, do not reject.
Compute the F-test statistic.
F=____________
(Round to two decimal places as needed.)
Reach a decision.
(1)___________ the null hypothesis. There is (2)__________ incomes for subscribers to the two service providers.
2: ANOVA
|
Source of Variation |
SS | DF | MS | F |
|
Between groups |
3,233,927,586 |
? | ? | ? |
|
Within groups |
? | ? | ? | ? |
|
Total |
9,519,942,048 |
? | ? | ? |
1) Reject
do not reject
2) sufficient
Insufficient
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