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

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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...
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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