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 = 20 with a mean of ₁ = 60.9 and a standard deviation of SD₁ = 6.2 from the first population. You obtain a sample of size 7₂ = 15 with a mean of 2 = 76.9 and a standard deviation of SD₂ = 18.6 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
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 = 20 with a mean of ₁ = 60.9 and a standard deviation of SD₁ = 6.2 from the first population. You obtain a sample of size 7₂ = 15 with a mean of 2 = 76.9 and a standard deviation of SD₂ = 18.6 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
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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Transcribed Image Text: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:You wish to test the following claim (H) at a significance level of a = 0.005.
H₂:1 = μ₂
Ha: M1 M₂
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 = 20 with a mean of ₁ = 60.9 and a standard deviation of SD₁ = 6.2 from
the first population. You obtain a sample of size n₂ = 15 with a mean of 2 = 76.9 and a standard
deviation of SD2 = 18.6 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
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