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You wish to test the following claim (Ha) at a significance level of a = 0.10. H.:µ1 = µ2 TH > Il:®H You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size n1 = 23 with a mean of M1 = 59.1 and a standard deviation of SD, = 9.6 from the first population. You obtain a sample of size n2 = 12 with a mean of M2 = 67.1 and a standard deviation of SD2 = 14.1 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? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to three decimal places.) p-value = The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null

You wish to test the following claim (Ha) at a significance level of a = 0.10. H.:µ1 = µ2 TH > Il:®H You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size n1 = 23 with a mean of M1 = 59.1 and a standard deviation of SD, = 9.6 from the first population. You obtain a sample of size n2 = 12 with a mean of M2 = 67.1 and a standard deviation of SD2 = 14.1 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? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to three decimal places.) p-value = The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null 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 (Ha) at a significance level of a = 0.10. H.:µ1 = P2 Ha:µ1 < µ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size n1 the first population. You obtain a sample of size n2 deviation of SD2 = 14.1 from the second population. 23 with a mean of M1 = 59.1 and a standard deviation of SD1 = 9.6 from 12 with a mean of M2 = 67.1 and a standard 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 conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to three decimal places.) p-value = The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null O accept the null fail to reject the null
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.10. H.:µ1 = P2 Ha:µ1 < µ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size n1 the first population. You obtain a sample of size n2 deviation of SD2 = 14.1 from the second population. 23 with a mean of M1 = 59.1 and a standard deviation of SD1 = 9.6 from 12 with a mean of M2 = 67.1 and a standard 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 conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to three decimal places.) p-value = The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null O accept the null fail to reject the null
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