Suppose the following data show the percentage of 17- to 24-year-olds who are attending college in several metropolitan statistical areas in four geographic regions of the United States. Northeast Midwest South West 28.1 36.5 59.8 16.3 40.2 32.8 37.7 34.0 32.4 23.4 28.0 22.9 47.0 43.7 41.4 12.1 33.3 31.9 34.7 44.1 15.6 57.7 19.3 26.6 37.6 30.8 30.3 56.9 36.0 64.6 67.3 13.5 37.2 28.0 32.8 36.6 57.8 55.7 29.3 28.0 60.4 78.0 39.2 16.9 42.2 30.1 32.2 75.5 30.0 52.0 35.7 24.4 50.7 28.9 34.4 25.0 60.6 25.3 29.4 58.4 53.5 27.6 21.1 30.3 31.5 28.7 42.1 22.3 26.3 70.5 33.9 73.4 22.8 33.3 36.9 31.1 37.7 27.6 31.5 34.6 27.9 21.9 28.7 31.1 31.2 21.7 57.6 38.1 28.8 39.8 33.8 36.0 38.9 21.7 40.0 36.2 25.4 32.4 Use ? = 0.05 to test whether the mean percentage of 17- to 24-year-olds who are attending college is the same for the four geographic regions. State the null and alternative hypotheses. 1. H0: μN = μM = μS = μW Ha: μN ≠ μM ≠ μS ≠ μW 2 .H0: At least two of the population means are equal. Ha: At least two of the population means are different. 3. H0: μN ≠ μM ≠ μS ≠ μW Ha: μN = μM = μS = μW 4. H0: Not all the population means are equal. Ha: μN = μM = μS = μW 5. H0: μN = μM = μS = μW Ha: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) ( ) Find the p-value. (Round your answer to three decimal places.) p-value = ( ) State your conclusion. 1. Reject H0. There is sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions. 2. Do not reject H0. There is sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions. 3. Do not reject H0. There is not sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions. 4. Reject H0. There is not sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions.

Suppose the following data show the percentage of 17- to 24-year-olds who are attending college in several metropolitan statistical areas in four geographic regions of the United States. Northeast Midwest South West 28.1 36.5 59.8 16.3 40.2 32.8 37.7 34.0 32.4 23.4 28.0 22.9 47.0 43.7 41.4 12.1 33.3 31.9 34.7 44.1 15.6 57.7 19.3 26.6 37.6 30.8 30.3 56.9 36.0 64.6 67.3 13.5 37.2 28.0 32.8 36.6 57.8 55.7 29.3 28.0 60.4 78.0 39.2 16.9 42.2 30.1 32.2 75.5 30.0 52.0 35.7 24.4 50.7 28.9 34.4 25.0 60.6 25.3 29.4 58.4 53.5 27.6 21.1 30.3 31.5 28.7 42.1 22.3 26.3 70.5 33.9 73.4 22.8 33.3 36.9 31.1 37.7 27.6 31.5 34.6 27.9 21.9 28.7 31.1 31.2 21.7 57.6 38.1 28.8 39.8 33.8 36.0 38.9 21.7 40.0 36.2 25.4 32.4 Use ? = 0.05 to test whether the mean percentage of 17- to 24-year-olds who are attending college is the same for the four geographic regions. State the null and alternative hypotheses. 1. H0: μN = μM = μS = μW Ha: μN ≠ μM ≠ μS ≠ μW 2 .H0: At least two of the population means are equal. Ha: At least two of the population means are different. 3. H0: μN ≠ μM ≠ μS ≠ μW Ha: μN = μM = μS = μW 4. H0: Not all the population means are equal. Ha: μN = μM = μS = μW 5. H0: μN = μM = μS = μW Ha: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) ( ) Find the p-value. (Round your answer to three decimal places.) p-value = ( ) State your conclusion. 1. Reject H0. There is sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions. 2. Do not reject H0. There is sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions. 3. Do not reject H0. There is not sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions. 4. Reject H0. There is not sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions.

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

Suppose the following data show the percentage of 17- to 24-year-olds who are attending college in several metropolitan statistical areas in four geographic regions of the United States.

Northeast	Midwest	South	West
28.1	36.5	59.8	16.3
40.2	32.8	37.7	34.0
32.4	23.4	28.0	22.9
47.0	43.7	41.4	12.1
33.3	31.9	34.7	44.1
15.6	57.7	19.3	26.6
37.6	30.8	30.3	56.9
36.0	64.6	67.3	13.5
37.2	28.0	32.8	36.6
57.8	55.7	29.3	28.0
60.4	78.0	39.2	16.9
	42.2	30.1	32.2
	75.5	30.0	52.0
	35.7	24.4	50.7
	28.9	34.4	25.0
	60.6	25.3	29.4
	58.4	53.5	27.6
	21.1	30.3	31.5
	28.7	42.1	22.3
	26.3	70.5	33.9
	73.4	22.8	33.3
	36.9	31.1	37.7
	27.6	31.5	34.6
	27.9	21.9	28.7
	31.1	31.2	21.7
	57.6	38.1
	28.8	39.8
	33.8	36.0
	38.9	21.7
	40.0	36.2
		25.4
		32.4

Use ? = 0.05 to test whether the mean percentage of 17- to 24-year-olds who are attending college is the same for the four geographic regions.

State the null and alternative hypotheses.

1. H₀: μ_N = μ_M = μ_S = μ_W
H_a: μ_N ≠ μ_M ≠ μ_S ≠ μ_W

2 .H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.

3. H₀: μ_N ≠ μ_M ≠ μ_S ≠ μ_W
H_a: μ_N = μ_M = μ_S = μ_W

4. H₀: Not all the population means are equal.
H_a: μ_N = μ_M = μ_S = μ_W

5. H₀: μ_N = μ_M = μ_S = μ_W

H_a: Not all the population means are equal.

Find the value of the test statistic. (Round your answer to two decimal places.)

( )

Find the p-value. (Round your answer to three decimal places.)

p-value = ( )

State your conclusion.

1. Reject H₀. There is sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions.

2. Do not reject H₀. There is sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions.

3. Do not reject H₀. There is not sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions.

4. Reject H₀. There is not sufficient evidence to conclude that the percentage of 17- to 24-year-olds who are attending college is not the same for the four geographic regions.

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