In: Statistics and Probability
You wish to test the following claim (Ha) at a significance
level of α=0.10.
Ho:μ1=μ2
Ha: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 a sample of size n1=25 with a mean of M1=77.7 and
a standard deviation of SD1=11.4 from the first population. You
obtain a sample of size n2=26 with a mean of M2=66.5 and a standard
deviation of SD2=12.7 from the second population.
What is the critical value for this test? For this calculation, use
the conservative under-estimate for the degrees of freedom as
mentioned in the textbook. (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...