Asked by Tabatha Holmes on Jul 07, 2024
Verified
When running a t test for dependent means on a group of 54 individuals,the degrees of freedom will be ______.
A) 54
B) 55
C) 53
D) 56
Degrees of Freedom
The number of independent values or quantities that can be assigned to a statistical distribution without violating any constraints.
Dependent Means
Refers to the average values of two sets of related data, typically used in paired tests or studies where the same subjects are measured under different conditions.
Individuals
Entities or members of a larger group or dataset, each possessing unique characteristics or data points.
- Acquire proficiency in calculating degrees of freedom in numerous situations.
Verified Answer
LP
Lourie PetersJul 13, 2024
Final Answer :
C
Explanation :
The formula for calculating degrees of freedom for a paired t-test is (n-1), where n is the number of pairs. In this case, there are 54 individuals, but they are paired, so there are 54/2 = 27 pairs, and therefore the degrees of freedom are (27-1) = 26. However, this is for a one-tailed test. For a two-tailed test, we need to double the degrees of freedom, so 26 x 2 = 52. But we need to add 1 to this because the t-distribution is not symmetrical, so the final answer is 53.
Learning Objectives
- Acquire proficiency in calculating degrees of freedom in numerous situations.