You wish to test the following claim (H) at a significance level of a = 0.10. H₂:₁ = 1₂ Ha: ₁ > ₂ You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n₁ = 21 with a mean of ₁ = 65.7 and a standard deviation of SD₁ = 15.5 from the first population. You obtain a sample of size ₂ = 21 with a mean of 2 = 49.6 and a standard deviation of SD2 = 12.5 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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the first population mean is
greater than the second population mean.
O There is not sufficient evidence to warrant rejection of the claim that the first population
mean is greater than the second population mean.
O The sample data support the claim that the first population mean is greater than the second
population mean.
O There is not sufficient sample evidence to support the claim that the first population mean is
greater than 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 greater than the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean. O The sample data support the claim that the first population mean is greater than the second population mean. O There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.
You wish to test the following claim (H) at a significance level of a = 0.10.
H₂:₁ = 12
Ha: 1 > 2
You believe both populations are normally distributed, but you do not know the standard deviations
for either. However, assume that the variances of the two populations are equal. You obtain a
sample of size n₁ = 21 with a mean of 1 = 65.7 and a standard deviation of SD₁ = 15.5 from
the first population. You obtain a sample of size n2 = 21 with a mean of 2 = 49.6 and a standard
deviation of SD2 = 12.5 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
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.10. H₂:₁ = 12 Ha: 1 > 2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n₁ = 21 with a mean of 1 = 65.7 and a standard deviation of SD₁ = 15.5 from the first population. You obtain a sample of size n2 = 21 with a mean of 2 = 49.6 and a standard deviation of SD2 = 12.5 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
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