You wish to test the following claim (HaHa) at a significance
level of α=0.02α=0.02.
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. Use non-pooled test.
You obtain a sample of size n1=25n1=25 with a mean of
M1=55.8M1=55.8 and a standard deviation of SD1=18.5SD1=18.5 from
the first population. You obtain a sample of size n2=26n2=26 with a
mean of M2=65.5M2=65.5 and a standard deviation of SD2=6.7SD2=6.7
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...
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