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You wish to test the following claim (H₁) at a significance level of a = 0.001. H₂:₁ = ₂ Ha:

You wish to test the following claim (H₁) at a significance level of a = 0.001. H₂:₁ = ₂ Ha:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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You wish to test the following claim (Ha) at a significance level of a = 0.001. H₂:₁ = μ₂ Η«:μι < με You obtain the following two samples of data. Sample #1 87 75.4 67.8 72.3 74.3 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 73 80.2 74.7 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 77.9 68.6 81.6 72.3 67.5 71.3 76.8 Sample #2 89 82.2 73 77.2 65.6 79.8 62.2 69.4 82.2 79.4 64.3 67.9 73.2 81.7 69.7 65 77.4 84.9 68.2 75 78.6 76.7 67.1 79 84.5 87.4 67.1 71.4 The p-value is... 79 71.4 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = O less than (or equal to) a O greater than a 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= 76.4 76 76 69.2 70.7 85.8 79.4 72.2 76.4 86.8 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 = μ₂ Η«:μι < με You obtain the following two samples of data. Sample #1 87 75.4 67.8 72.3 74.3 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 73 80.2 74.7 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 77.9 68.6 81.6 72.3 67.5 71.3 76.8 Sample #2 89 82.2 73 77.2 65.6 79.8 62.2 69.4 82.2 79.4 64.3 67.9 73.2 81.7 69.7 65 77.4 84.9 68.2 75 78.6 76.7 67.1 79 84.5 87.4 67.1 71.4 The p-value is... 79 71.4 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = O less than (or equal to) a O greater than a 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= 76.4 76 76 69.2 70.7 85.8 79.4 72.2 76.4 86.8 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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