You wish to test the following claim (Ha) at a significance
level of α=0.01.
Ho:μ1=μ2
Ha:μ1<μ2
You believe both populations are normally distributed, but you do
not know the standard deviations for either. You should use a
non-pooled test. You obtain the following two samples of data.
Sample #1 | Sample #2 | |||||||||||||||||||||||||||||||||
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|
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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
degrees of freedom reported from the technology you are using.
(Report answer accurate to four decimal places.)
p-value =
The p-value is...
This test statistic leads to a decision to...
As such, the final conclusion is that...
The statistical software output for this problem is :
Test statistics = -2.893
P-value = 0.0042
The p-value is less than (or equal to) α .
Reject the null hypothesis .
There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean.
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