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You wish to test the following claim (H₁) at a significance level of a = 0.001. H₂:1₁ = 1₂ H_:μι < με You obtain the following two samples of data. Sample #1 87 77.9 68.6 81.6 75.4 72.3 67.5 71.3 67.8 72.3 74.3 76.8 72.6 77.4 75.2 80 65.5 63.3 77.1 73.9 84.6 71.6 77.2 61.8 74.5 73 72.6 68.3 71.7 67.2 74.3 63.3 74 70.8 77.4 87 71.7 74.7 73 80.2 70.9 75.5 68.8 78 83.9 78.9 72.5 68.3 74.4 74.5 73.9 67.5 74.3 83.9 80.7 75.5 79 71.4 73 65.6 64.3 The p-value is... 67.9 73.2 O less than (or equal to) a O greater than a Sample #2 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 89 76.4 76 82.2 76 69.2 77.2 70.7 85.8 79.8 79.4 72.2 62.2 76.4 86.8 69.4 82.2 79.4 81.7 75 78.6 65 76.7 67.1 69.7 77.4 84.9 68.2 79 84.5 87.4 67.1 71.4 What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value = This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. O The sample data support the claim that the first population mean is less than the second population mean.

You wish to test the following claim (H₁) at a significance level of a = 0.001. H₂:1₁ = 1₂ H_:μι < με You obtain the following two samples of data. Sample #1 87 77.9 68.6 81.6 75.4 72.3 67.5 71.3 67.8 72.3 74.3 76.8 72.6 77.4 75.2 80 65.5 63.3 77.1 73.9 84.6 71.6 77.2 61.8 74.5 73 72.6 68.3 71.7 67.2 74.3 63.3 74 70.8 77.4 87 71.7 74.7 73 80.2 70.9 75.5 68.8 78 83.9 78.9 72.5 68.3 74.4 74.5 73.9 67.5 74.3 83.9 80.7 75.5 79 71.4 73 65.6 64.3 The p-value is... 67.9 73.2 O less than (or equal to) a O greater than a Sample #2 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 89 76.4 76 82.2 76 69.2 77.2 70.7 85.8 79.8 79.4 72.2 62.2 76.4 86.8 69.4 82.2 79.4 81.7 75 78.6 65 76.7 67.1 69.7 77.4 84.9 68.2 79 84.5 87.4 67.1 71.4 What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value = This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. O The sample data support the claim that the first population mean is less than the second population mean.

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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You wish to test the following claim (Ha) at a significance level of a = 0.001. : H₂:₁ = 1₂ Η:μι < με You obtain the following two samples of data. Sample #1 77.9 68.6 81.6 87 75.4 72.3 67.5 71.3 67.8 72.3 74.3 76.8 72.6 77.4 75.2 80 65.5 63.3 77.1 73.9 84.6 71.6 77.2 61.8 74.5 73 72.6 68.3 71.7 67.2 74.3 63.3 74 77.4 87 71.7 70.8 74.7 73 80.2 78 70.9 75.5 68.8 83.9 78.9 72.5 68.3 74.4 74.5 73.9 67.5 74.3 83.9 80.7 75.5 Sample #2 79 76.4 89 82.2 71.4 76 73 77.2 70.7 65.6 79.8 79.4 64.3 62.2 76.4 69.4 82.2 67.9 73.2 81.7 69.7 75 65 76.7 77.4 84.9 68.2 79 84.5 87.4 67.1 71.4 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The p-value is... What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value = O less than (or equal to) a O greater than a 76 69.2 85.8 72.2 86.8 79.4 78.6 67.1 This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. O The sample data support the claim that the first population mean is less than the second population mean. O There is not sufficient sample evidence to support the claim that the first population mean is less than the second population mean.
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.001. : H₂:₁ = 1₂ Η:μι < με You obtain the following two samples of data. Sample #1 77.9 68.6 81.6 87 75.4 72.3 67.5 71.3 67.8 72.3 74.3 76.8 72.6 77.4 75.2 80 65.5 63.3 77.1 73.9 84.6 71.6 77.2 61.8 74.5 73 72.6 68.3 71.7 67.2 74.3 63.3 74 77.4 87 71.7 70.8 74.7 73 80.2 78 70.9 75.5 68.8 83.9 78.9 72.5 68.3 74.4 74.5 73.9 67.5 74.3 83.9 80.7 75.5 Sample #2 79 76.4 89 82.2 71.4 76 73 77.2 70.7 65.6 79.8 79.4 64.3 62.2 76.4 69.4 82.2 67.9 73.2 81.7 69.7 75 65 76.7 77.4 84.9 68.2 79 84.5 87.4 67.1 71.4 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The p-value is... What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value = O less than (or equal to) a O greater than a 76 69.2 85.8 72.2 86.8 79.4 78.6 67.1 This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. O The sample data support the claim that the first population mean is less than the second population mean. O There is not sufficient sample evidence to support the claim that the first population mean is less than the second population mean.
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