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You wish to test the following claim (Ha) at a significance level of a Ho: ₁ = 1₂ Ha: <1₂ You obtain the following two samples of data. Sample #1 59.4 53.8 54.3 89.6 68.1 34.5 71.1 63.9 67 84.5 46.3 54.7 45.8 53.8 29 57.2 54.3 35.4 32.6 32.6 53.8 41 60.2 65.4 61.6 73.2 77.6 78.7 50.4 75.7 59.4 74 76.6 39.1 82.7 50 50.4 23.5 52.1 57.2 40.4 48.2 45.3 29 49.1 53.4 74.8 32.6 64.9 Sample #2 55.8 23.3 39.9 36.4 90.4 41 75.7 62.1 81.5 54.6 88.2 105.9 47 59 61.1 95.9 64.6 80.1 62.6 39.9 59.5 60 71.3 75.1 53.5 64.1 54.6 51.7 42 66.6 51.7 65.1 36.4 86.3 59.5 76.9 59.5 75.7 42 90.4 52.3 61.6 54.6 63.6 33.3 64.6 66.1 0.01. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from t technology you are using. (Report answer accurate to four decimal places.) p-value =

You wish to test the following claim (Ha) at a significance level of a Ho: ₁ = 1₂ Ha: <1₂ You obtain the following two samples of data. Sample #1 59.4 53.8 54.3 89.6 68.1 34.5 71.1 63.9 67 84.5 46.3 54.7 45.8 53.8 29 57.2 54.3 35.4 32.6 32.6 53.8 41 60.2 65.4 61.6 73.2 77.6 78.7 50.4 75.7 59.4 74 76.6 39.1 82.7 50 50.4 23.5 52.1 57.2 40.4 48.2 45.3 29 49.1 53.4 74.8 32.6 64.9 Sample #2 55.8 23.3 39.9 36.4 90.4 41 75.7 62.1 81.5 54.6 88.2 105.9 47 59 61.1 95.9 64.6 80.1 62.6 39.9 59.5 60 71.3 75.1 53.5 64.1 54.6 51.7 42 66.6 51.7 65.1 36.4 86.3 59.5 76.9 59.5 75.7 42 90.4 52.3 61.6 54.6 63.6 33.3 64.6 66.1 0.01. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from t technology you are using. (Report answer accurate to four decimal places.) p-value =

MATLAB: An Introduction with Applications
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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How do I find the test statistic and P value for this question?

# Hypothesis Testing: Comparing Two Samples ### Hypothesis You wish to test the following claim (\(H_a\)) at a significance level of \(\alpha = 0.01\): - Null Hypothesis (\(H_0\)): \(\mu_1 = \mu_2\) - Alternative Hypothesis (\(H_a\)): \(\mu_1 < \mu_2\) ### Sample Data You obtain the following two samples of data: #### Sample #1 - Data: 59.4, 53.8, 54.3, 89.6, 68.1, 34.5, 71.1, 63.9, 67, 84.5, 46.3, 54.7, 45.8, 53.8, 29, 57.2, 54.3, 35.4, 36.2, 52.4, 53.8, 41, 60.2, 65.4, 61.6, 73.2, 77.6, 78.7, 50.4, 78.5, 40.9, 74, 76.9, 57.9, 76.4, 76.9, 50.4, 23.5, 52.1, 57.2, 50, 23.5, 21, 57, 40.4, 48.2, 45.3, 29, 50.4, 53.1, 74.8, 32.6, 64.9 #### Sample #2 - Data: 55.8, 23.3, 39.9, 36.4, 90.4, 41, 75.7, 62.1, 81.5, 54.6, 88.2, 105.9, 47, 59, 61.1, 95.9, 45, 80.1, 62.6, 39.9, 59.5, 60, 71.3, 75.1, 53.5, 64.1, 54.6, 51.7, 42, 66.
Transcribed Image Text:# Hypothesis Testing: Comparing Two Samples ### Hypothesis You wish to test the following claim (\(H_a\)) at a significance level of \(\alpha = 0.01\): - Null Hypothesis (\(H_0\)): \(\mu_1 = \mu_2\) - Alternative Hypothesis (\(H_a\)): \(\mu_1 < \mu_2\) ### Sample Data You obtain the following two samples of data: #### Sample #1 - Data: 59.4, 53.8, 54.3, 89.6, 68.1, 34.5, 71.1, 63.9, 67, 84.5, 46.3, 54.7, 45.8, 53.8, 29, 57.2, 54.3, 35.4, 36.2, 52.4, 53.8, 41, 60.2, 65.4, 61.6, 73.2, 77.6, 78.7, 50.4, 78.5, 40.9, 74, 76.9, 57.9, 76.4, 76.9, 50.4, 23.5, 52.1, 57.2, 50, 23.5, 21, 57, 40.4, 48.2, 45.3, 29, 50.4, 53.1, 74.8, 32.6, 64.9 #### Sample #2 - Data: 55.8, 23.3, 39.9, 36.4, 90.4, 41, 75.7, 62.1, 81.5, 54.6, 88.2, 105.9, 47, 59, 61.1, 95.9, 45, 80.1, 62.6, 39.9, 59.5, 60, 71.3, 75.1, 53.5, 64.1, 54.6, 51.7, 42, 66.
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