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You wish to test the following claim (H) at a significance level of a = 0.10. Ho: 1 = 2 Ha: 1 2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, DON'T assume that the variances of the two populations are equal. You obtain a sample of size n₁ = 14 with a mean of ₁ = 63.8 and a standard deviation of SD₁ = 14.8 from the first population. You obtain a sample of size n₂ = 26 with a mean of 2 = 58.6 and a standard deviation of SD2 = 9.2 from the second population. 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? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a Ogreater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null

You wish to test the following claim (H) at a significance level of a = 0.10. Ho: 1 = 2 Ha: 1 2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, DON'T assume that the variances of the two populations are equal. You obtain a sample of size n₁ = 14 with a mean of ₁ = 63.8 and a standard deviation of SD₁ = 14.8 from the first population. You obtain a sample of size n₂ = 26 with a mean of 2 = 58.6 and a standard deviation of SD2 = 9.2 from the second population. 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? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a Ogreater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null

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 (H) at a significance level of a = 0.10. Ho: 1 = 2 Ha: 1 2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, DON'T assume that the variances of the two populations are equal. You obtain a sample of size n₁ = 14 with a mean of ₁ = 63.8 and a standard deviation of SD₁ = 14.8 from the first population. You obtain a sample of size n₂ = 26 with a mean of 2 = 58.6 and a standard deviation of SD2 = 9.2 from the second population. 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? (Report answer accurate to four decimal places.) p-value= The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.10. Ho: 1 = 2 Ha: 1 2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, DON'T assume that the variances of the two populations are equal. You obtain a sample of size n₁ = 14 with a mean of ₁ = 63.8 and a standard deviation of SD₁ = 14.8 from the first population. You obtain a sample of size n₂ = 26 with a mean of 2 = 58.6 and a standard deviation of SD2 = 9.2 from the second population. 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? (Report answer accurate to four decimal places.) p-value= The p-value is... O less than (or equal to) a O greater than a 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 not equal to the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. O The sample data support the claim that the first population mean is not equal to the second population mean. O There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean.
Transcribed Image Text:As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. O The sample data support the claim that the first population mean is not equal to the second population mean. O There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean.
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