The table below contains unemployment rates for a sample of metropolitan areas in four regions of a certain country (Northeast, Midwest, South, and West). The rates are for the month of October 2021. E Unemployment Data Northeast 3.4 6.4 1.6 5.3 2.0 5.5 4.9 4.2 4.0 6.4 4.5 6.8 Midwest 3.1 1.9 2.0 3.0 3.0 4.5 5.4 2.3 3.0 1.9 1.5 2.1 4.6 4.8 3.0 3.3 2.3 2.7 4.0 4.7 3.8 1.9 2.7 1.8 South 3.6 2.6 3.9 3.4 3.0 4.5 2.4 3.5 12.5 2.1 3.6 6.0 6.6 6.0 3.5 3.5 2.4 3.7 3.6 4.2 4.3 4.6 1.8 2.5 West 4.2 4.4 2.7 6.7 5.3 3.3 4.3 4.0 3.3 3.1 3.1 3.7 5.5 3.7 5.3 4.0 3.2 3.3 2.3 7.0 3.3 5.0 3.6 4.1 1.3 4.9 4.7 3.2 4.0 4.0 2.4 4.0 3.7 2.2 2.3 2.8 3.2 O Ho: Not all the population means are equal. на: М1 = М2 = M3 O Ho: Not all the population means are equal. Ha: M₁ = M₂ = M3 = μ4 Ho: M₁ = ₂ = μ3 Ha: Not all the population means are equal. 1.8 Use a = 0.05 to test whether the unemployment rate is the same in all four regions. State the null and alternative hypotheses. Ho: H₁ H₂= μ3 = μ4 Ha: Not all the population means are equal. 9.3 7.7 оно H1=H2=3 на: М1 #Мz #из 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. O Reject Ho. There is not sufficient evidence to conclude that there are differences among the mean unemployment rates for the four geographic regions. O Reject Ho. There is sufficient evidence to conclude that there are differences among the mean unemployment rates for the four geographic regions. O Do not reject Ho. There is not sufficient evidence to conclude that there are differences among the mean unemployment rates for the four geographic regions. O Do not reject Ho. There is sufficient evidence to conclude that there are differences among the mean unemployment rates for the four geographic regions.
The table below contains unemployment rates for a sample of metropolitan areas in four regions of a certain country (Northeast, Midwest, South, and West). The rates are for the month of October 2021. E Unemployment Data Northeast 3.4 6.4 1.6 5.3 2.0 5.5 4.9 4.2 4.0 6.4 4.5 6.8 Midwest 3.1 1.9 2.0 3.0 3.0 4.5 5.4 2.3 3.0 1.9 1.5 2.1 4.6 4.8 3.0 3.3 2.3 2.7 4.0 4.7 3.8 1.9 2.7 1.8 South 3.6 2.6 3.9 3.4 3.0 4.5 2.4 3.5 12.5 2.1 3.6 6.0 6.6 6.0 3.5 3.5 2.4 3.7 3.6 4.2 4.3 4.6 1.8 2.5 West 4.2 4.4 2.7 6.7 5.3 3.3 4.3 4.0 3.3 3.1 3.1 3.7 5.5 3.7 5.3 4.0 3.2 3.3 2.3 7.0 3.3 5.0 3.6 4.1 1.3 4.9 4.7 3.2 4.0 4.0 2.4 4.0 3.7 2.2 2.3 2.8 3.2 O Ho: Not all the population means are equal. на: М1 = М2 = M3 O Ho: Not all the population means are equal. Ha: M₁ = M₂ = M3 = μ4 Ho: M₁ = ₂ = μ3 Ha: Not all the population means are equal. 1.8 Use a = 0.05 to test whether the unemployment rate is the same in all four regions. State the null and alternative hypotheses. Ho: H₁ H₂= μ3 = μ4 Ha: Not all the population means are equal. 9.3 7.7 оно H1=H2=3 на: М1 #Мz #из 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. O Reject Ho. There is not sufficient evidence to conclude that there are differences among the mean unemployment rates for the four geographic regions. O Reject Ho. There is sufficient evidence to conclude that there are differences among the mean unemployment rates for the four geographic regions. O Do not reject Ho. There is not sufficient evidence to conclude that there are differences among the mean unemployment rates for the four geographic regions. O Do not reject Ho. There is sufficient evidence to conclude that there are differences among the mean unemployment rates for the four geographic regions.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Transcribed Image Text:The table below contains unemployment rates for a sample of metropolitan areas in four regions of a certain country (Northeast, Midwest,
South, and West). The rates are for the month of October 2021.
E Unemployment Data
Northeast
3.4
6.4
1.6
5.3
2.0
5.5
4.9
4.2
4.0
6.4
4.5
6.8
Midwest
3.1
1.9
2.0
3.0
3.0
4.5
5.4
2.3
3.0
1.9
1.5
2.1
4.6
4.8
3.0
3.3
2.3
2.7
4.0
4.7
3.8
1.9
2.7
1.8
South
3.6 2.6
3.9 3.4
3.0 4.5
2.4 3.5 12.5
2.1 3.6
6.0 6.6 6.0
3.5 3.5
2.4 3.7 3.6
4.2 4.3 4.6
1.8 2.5
West
4.2
4.4 2.7 6.7
5.3
3.3 4.3 4.0
3.3
3.1 3.1 3.7
5.5 3.7 5.3
4.0
3.2
3.3 2.3 7.0
3.3
5.0
3.6 4.1 1.3
4.9
4.7
3.2 4.0 4.0
2.4
4.0 3.7 2.2
2.3 2.8 3.2
O Ho: Not all the population means are equal.
на: М1 = М2 = M3
O Ho: Not all the population means are equal.
Ha: M₁ = M₂ = M3 = μ4
Ho: M₁ = ₂ = μ3
Ha: Not all the population means are equal.
1.8
Use a = 0.05 to test whether the unemployment rate is the same in all four regions.
State the null and alternative hypotheses.
Ho: H₁ H₂= μ3 = μ4
Ha: Not all the population means are equal.
9.3
7.7
оно H1=H2=3
на: М1 #Мz #из
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.
O Reject Ho. There is not sufficient evidence to conclude that there are differences among the mean unemployment rates for the four
geographic regions.
O Reject Ho. There is sufficient evidence to conclude that there are differences among the mean unemployment rates for the four
geographic regions.
O Do not reject Ho. There is not sufficient evidence to conclude that there are differences among the mean unemployment rates for the four
geographic regions.
O Do not reject Ho. There is sufficient evidence to conclude that there are differences among the mean unemployment rates for the four
geographic regions.
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