You wish to test the following claim (H1) at a significance
level of α=0.01
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=20 with a mean of M1=84.6 and a standard deviation of SD1=18.1 from the first population. You obtain a sample of size n2=21 with a mean of M2=75 and a standard deviation of SD2=8.3 from the second population.
What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
The test statistic is...
This test statistic leads to a decision to...
As such, the final conclusion is that...
The statistical software output for this problem is :
critical value = 2.479
Test statistics = 2.165
The test statistic is not in the critical region .
fail to reject the null
There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
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