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 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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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

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Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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