You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha: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 the following two samples of data.
Sample #1 | Sample #2 | ||||||||||||||||||||||||||||||||||||||||||||||||
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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 = 4.680
P-value = 0.000
The p-value is less than (or equal to) α
reject the null
There is sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean.
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