You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
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  



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 =
(a)
= 0.10
ndf = n1 + n2  2 = 16 + 25  2 = 39
From Table, critical values of t = 1.6849
(b)
From the given data, the following statistics are calculated:
n1= 16
1 = 62.75
s1 = 9.5392
n2 = 25
2 = 68.476
s2 = 17.5038
Test Statistic is:
t = (62.7568.476)/4.7868 =  5.726/4.7868 =  1.200
So,
test statistic =  1.200
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