You wish to test the following claim (Ha) at a significance level of a = 0.02. H₂:1 = 42 H₂:1<42 You obtain the following two samples of data. Sample #1 66.1 66.1 69.3 66.6 47.1 91.1 73.1 75.7 88.2 67.8 77.8 88.2 72.7 75.7 66.6 56.4 80.6 74.4 80.2 92.1 56.4 86 78.6 58.6 102.8 74.9 55.2 84.7 68.3 73.1 68.8 78.2 79.4 65.5 89.6 66.6 52 94.9 85.1 82.2 98.3 105.2 57.6 96.2 74.9 49.9 84.7 93.2 73.6 58.6 78.6 68.8 58.6 64.2 104 89.6 106 7 76 9 104 86 8 Sample #2 86.8 98 83.4 89.8 96 83.1 75.3 83.1 87.1 101 86.2 80.9 84.8 94 95.7 94 96.4 99.9 90.1 89.2 88.1 100.4 84 95 99.9 86 62.2 89 74.2 94.3 87.3 80.6 77.2 73 104.5 79.5
You wish to test the following claim (Ha) at a significance level of a = 0.02. H₂:1 = 42 H₂:1<42 You obtain the following two samples of data. Sample #1 66.1 66.1 69.3 66.6 47.1 91.1 73.1 75.7 88.2 67.8 77.8 88.2 72.7 75.7 66.6 56.4 80.6 74.4 80.2 92.1 56.4 86 78.6 58.6 102.8 74.9 55.2 84.7 68.3 73.1 68.8 78.2 79.4 65.5 89.6 66.6 52 94.9 85.1 82.2 98.3 105.2 57.6 96.2 74.9 49.9 84.7 93.2 73.6 58.6 78.6 68.8 58.6 64.2 104 89.6 106 7 76 9 104 86 8 Sample #2 86.8 98 83.4 89.8 96 83.1 75.3 83.1 87.1 101 86.2 80.9 84.8 94 95.7 94 96.4 99.9 90.1 89.2 88.1 100.4 84 95 99.9 86 62.2 89 74.2 94.3 87.3 80.6 77.2 73 104.5 79.5
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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The test statistic leads to a decision to ... reject the null accept or fail to reject the null
Transcribed Image Text:You are conducting a hypothesis test to evaluate the claim (\(H_a\)) at a significance level of \(\alpha = 0.02\).
### Hypotheses:
- Null Hypothesis (\(H_0\)): \(\mu_1 = \mu_2\)
- Alternative Hypothesis (\(H_a\)): \(\mu_1 < \mu_2\)
### Data Samples:
#### Sample #1:
- Data Points: 66.1, 66.1, 69.3, 66.6, 47.1, 91.1, 73.1, 75.7, 88.2, 67.8, 77.8, 88.2, 77.1, 85.4, 56.4, 98.5, 80.2, 92.1, 80.6, 93.2, 86.6, 74.9, 55.2, 75.6, 90.4, 89.1, 68.8, 73.1, 91.5, 78.2, 74.9, 49.9, 84.7, 93.2, 73.6, 58.6, 78.6, 68.8, 58.6, 64.2, 104, 89.6, 106.7, 76.9, 104, 86.8, 72.2, 88.6, 79.8
#### Sample #2:
- Data Points: 86.8, 98, 83.4, 89, 89.8, 96, 83.1, 74.2, 75.3, 83.1, 87.1, 94.3, 101, 86.2, 80.9, 87.3, 84.8, 94, 95.7, 80.6, 96.4, 94.6, 99.9, 77.2, 90.1, 89.2, 88.1, 73, 100.4, 84, 95, 104.5, 99.9, 86, 62.2
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