You wish to test the following claim (Ha) at a significance level of a = 0.10. Ho: ₁ = 12 Ha:

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For the homework what is Test statistic and P value?

**Hypothesis Testing for Two Samples**

You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.10 \).

- Null Hypothesis (\( H_0 \)): \( \mu_1 = \mu_2 \)
- Alternative Hypothesis (\( H_a \)): \( \mu_1 < \mu_2 \)

You obtain the following two samples of data:

**Sample \#1:**
- Values: 64.8, 53, 61.6, 47.6, 50.5, 53.4, 64.8, 66.8, 51.5, 62.7, 48.9, 59, 60.8, 63.7, 49.6, 60.2, 64.5, 67.9, 64.2, 47.1, 49.9, 59.7, 59, 57.7, 53.6, 49.9, 58.5, 56.4, 59.4, 60.4, 48.9, 61.2, 55, 59.7, 53.2, 45, 49.9, 53.6, 54.3, 58.3, 70.5, 48.9, 57.4, 67.9

**Sample \#2:**
- Values: 59.4, 52.4, 49.4, 62.9, 53.5, 61, 59.7, 61, 53.3, 56.6, 58.8, 58.8, 67.2, 63.1, 53.3, 62.1, 55.9, 66.1, 47.4, 63.1, 64.3, 55.9, 64.3, 49, 55.8, 53.1, 55.5, 55.1, 68.8, 70.3, 55.8, 55.1, 73.2, 53.3, 59.7, 61.7, 57.6,
Transcribed Image Text:**Hypothesis Testing for Two Samples** You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.10 \). - Null Hypothesis (\( H_0 \)): \( \mu_1 = \mu_2 \) - Alternative Hypothesis (\( H_a \)): \( \mu_1 < \mu_2 \) You obtain the following two samples of data: **Sample \#1:** - Values: 64.8, 53, 61.6, 47.6, 50.5, 53.4, 64.8, 66.8, 51.5, 62.7, 48.9, 59, 60.8, 63.7, 49.6, 60.2, 64.5, 67.9, 64.2, 47.1, 49.9, 59.7, 59, 57.7, 53.6, 49.9, 58.5, 56.4, 59.4, 60.4, 48.9, 61.2, 55, 59.7, 53.2, 45, 49.9, 53.6, 54.3, 58.3, 70.5, 48.9, 57.4, 67.9 **Sample \#2:** - Values: 59.4, 52.4, 49.4, 62.9, 53.5, 61, 59.7, 61, 53.3, 56.6, 58.8, 58.8, 67.2, 63.1, 53.3, 62.1, 55.9, 66.1, 47.4, 63.1, 64.3, 55.9, 64.3, 49, 55.8, 53.1, 55.5, 55.1, 68.8, 70.3, 55.8, 55.1, 73.2, 53.3, 59.7, 61.7, 57.6,
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