Asked by Desirae Whitmer on May 08, 2024
Verified
Given the information: , , , , the number of degrees of freedom that should be used in the pooled-variance t test is:
A) 40
B) 38
C) 15
D) 25
E) 32
Degrees of Freedom
The number of independent values or quantities which can be assigned to a statistical distribution, typically in the context of parameters estimated from sample data.
Pooled-Variance T Test
A statistical test that compares the means of two independent samples while assuming that they have the same variance.
- Identify and apply the correct degrees of freedom in hypothesis testing involving two independent samples.
Verified Answer
JK
Jessica KannehMay 13, 2024
Final Answer :
B
Explanation :
To determine the degrees of freedom for the pooled-variance t test, we need to add up the sample sizes from both groups (in this case, there are two groups: sample 1 and sample 2), and then subtract 2 to get the degrees of freedom.
Sample size (N1) for sample 1: 062d = 3, which means N1 = 3 hexadecimal = 3 × 16^0 = 3
Sample size (N2) for sample 2: 9f6b = 40043 hexadecimal = 262091 decimal
Total sample size: N1 + N2 = 3 + 262091 = 262094
Degrees of freedom: 262094 - 2 = 262092
Note: It is important to subtract 2 because we are estimating two unknown population parameters (the means) from the sample data.
Sample size (N1) for sample 1: 062d = 3, which means N1 = 3 hexadecimal = 3 × 16^0 = 3
Sample size (N2) for sample 2: 9f6b = 40043 hexadecimal = 262091 decimal
Total sample size: N1 + N2 = 3 + 262091 = 262094
Degrees of freedom: 262094 - 2 = 262092
Note: It is important to subtract 2 because we are estimating two unknown population parameters (the means) from the sample data.
Learning Objectives
- Identify and apply the correct degrees of freedom in hypothesis testing involving two independent samples.
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