In t-test, if the variances of two sampled populations of size 30 and 28 are assumed to be the same, what is the degrees of freedom of the test?1 point29275657
Question
In t-test, if the variances of two sampled populations of size 30 and 28 are assumed to be the same, what is the degrees of freedom of the test?
1 point
2927
5657
Solution
To determine the degrees of freedom for a t-test when the variances of two sampled populations are assumed to be the same, we need to calculate the total degrees of freedom.
The formula for calculating the total degrees of freedom is given by:
df_total = (n1 - 1) + (n2 - 1)
where n1 and n2 are the sample sizes of the two populations.
In this case, the sample size of the first population is 30 (n1 = 30) and the sample size of the second population is 28 (n2 = 28).
Substituting these values into the formula, we get:
df_total = (30 - 1) + (28 - 1) = 29 + 27 = 56
Therefore, the degrees of freedom for the t-test in this scenario is 56.
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