You wish to test the claim that the first population mean is greater than the second population mean at a significance level of a 0.002. H.: = 2 You obtain the following two samples of data. Sample #1 Sample #2 33.3 42.1 50.0 51.5 60.9 39.2 61.9 49.1 56.4 45.8 61.6 43.4 58.8 69.2
You wish to test the claim that the first population mean is greater than the second population mean at a significance level of a 0.002. H.: = 2 You obtain the following two samples of data. Sample #1 Sample #2 33.3 42.1 50.0 51.5 60.9 39.2 61.9 49.1 56.4 45.8 61.6 43.4 58.8 69.2
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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![You wish to test the claim that the first population mean is greater than the second population mean at a significance level of α = 0.002.
\[ H_0: μ_1 = μ_2 \]
\[ H_a: μ_1 > μ_2 \]
You obtain the following two samples of data:
Sample #1:
- 50.0
- 60.9
- 61.9
- 56.4
- 61.6
- 58.5
- 62.8
- 61.1
- 63.1
- 55.6
Sample #2:
- 33.3
- 42.1
- 51.5
- 39.2
- 49.1
- 45.8
- 43.4
- 69.2
- 26.7
- 36.3
**Questions:**
a. What is the test statistic for this sample?
- Test statistic = ___ Round to 3 decimal places.
b. What is the p-value for this sample?
- P-value = ___ Use Technology. Round to 4 decimal places.
c. The p-value is...
- ☐ less than (or equal to) α
- ☐ greater than α
d. This test statistic leads to a decision to...](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30aa371e-7f96-44e6-88e8-ed2e882babec%2F2dadb3d2-882a-46ad-80ef-25e64116be4b%2F55yq1hc.jpeg&w=3840&q=75)
Transcribed Image Text:You wish to test the claim that the first population mean is greater than the second population mean at a significance level of α = 0.002.
\[ H_0: μ_1 = μ_2 \]
\[ H_a: μ_1 > μ_2 \]
You obtain the following two samples of data:
Sample #1:
- 50.0
- 60.9
- 61.9
- 56.4
- 61.6
- 58.5
- 62.8
- 61.1
- 63.1
- 55.6
Sample #2:
- 33.3
- 42.1
- 51.5
- 39.2
- 49.1
- 45.8
- 43.4
- 69.2
- 26.7
- 36.3
**Questions:**
a. What is the test statistic for this sample?
- Test statistic = ___ Round to 3 decimal places.
b. What is the p-value for this sample?
- P-value = ___ Use Technology. Round to 4 decimal places.
c. The p-value is...
- ☐ less than (or equal to) α
- ☐ greater than α
d. This test statistic leads to a decision to...
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