Asked by Elena Guerrero on Jun 09, 2024

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The number of degrees of freedom associated with the t-test, when the data are gathered from a matched pairs experiment with 10 pairs, is:

A) 10
B) 20
C) 9
D) 18
E) 11

Degrees Of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution, crucial for estimating population parameters.

Matched Pairs Experiment

An experimental design where subjects are paired based on certain characteristics, and then one in each pair is randomly assigned to the treatment group, while the other receives the control.

T-Test

A statistical test used to determine if there is a significant difference between the means of two groups, which may be related in certain features.

  • Comprehend and utilize the notion of degrees of freedom within the framework of t-tests.
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abhinav singhJun 14, 2024
Final Answer :
C
Explanation :
In a matched pairs experiment, each pair contributes one degree of freedom. Since there are 10 pairs, there are a total of 10 degrees of freedom. However, for the t-test, we need to subtract one degree of freedom because we are estimating the population mean difference using the sample mean difference. Therefore, the number of degrees of freedom for the t-test is (10-1), which is 9.