Assume there is a sample of n1=8,with the sample mean X1=39 and a sample standard deviation of S1=2,and there is an independent sample of n2=4 from another population with a sample mean of X2=35 and a sample standard deviation S2=5.In performing the pooled-variance t test,how many degrees of freedom are there?
Question
Assume there is a sample of n1=8,with the sample mean X1=39 and a sample standard deviation of S1=2,and there is an independent sample of n2=4 from another population with a sample mean of X2=35 and a sample standard deviation S2=5.In performing the pooled-variance t test,how many degrees of freedom are there?
Solution
The degrees of freedom for a pooled-variance t-test can be calculated using the formula:
df = n1 + n2 - 2
where n1 and n2 are the sample sizes of the two groups.
In this case, n1 = 8 and n2 = 4.
So, the degrees of freedom would be:
df = 8 + 4 - 2 = 10
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