Question

QUESTION 1

1. Perform an Fmax test on the following 2 samples, and then choose the correct statement.
   
   Sample A: 8, 6, 8, 6, 8, 6 (M = 7, n = 6)
   Sample B: 12, 10, 10, 16, 12, 12 (M = 12, n = 6)

   		Fmax = 4.0, and since the critical Fmax value is 7.15, you conclude that the data meets the homogeneity of variance assumption.
   		Fmax = 3.54, and since the critical Fmax value is 7.15, you conclude that the data meets the homogeneity of variance assumption.
   		Fmax = 3.54, and since the critical Fmax value is 1.96, you conclude that the data violates the homogeneity of variance assumption.
   		Fmax = 4.0, and since the critical Fmax value is 7.15, you conclude that the data violates the homogeneity of variance assumption.

2. Perform an Fmax test on the following 2 samples, and then choose the correct statement [G&W Chp10].
   
   Sample A: 7, 5, 8, 7, 7, 7, 8, 7 (M = 7, n = 8)
   Sample B: 16, 8, 12, 10, 10, 16, 12, 12 (M = 12, n = 8)

   		Fmax = 8.0, and since the critical Fmax value is 4.99, you conclude that the data meets the homogeneity of variance assumption.
   		Fmax = 8.0, and since the critical Fmax value is 4.99, you conclude that the data does not meet the homogeneity of variance assumption.
   		Fmax = 9.33, and since the critical Fmax value is 8.89, you conclude that the data meets the homogeneity of variance assumption.
   		Fmax = 9.33, and since the critical Fmax value is 4.99, you conclude that the data does not meet the homogeneity of variance assumption.

3. Standard error for the Independent-measures t-test relies on pooled variance taken by adding the sum of squares from the two sample groups together . true or false

Answer 1

Solution:

QUESTION 1

Perform a Fmax test on the following 2 samples, and then choose the correct statement.

Sample A: 8, 6, 8, 6, 8, 6 (M = 7, n = 6)
Sample B: 12, 10, 10, 16, 12, 12 (M = 12, n = 6)

Answer: F_max = 4.0, and since the critical F_max value is 7.15, you conclude that the data meets the homogeneity of variance assumption.​​​​​​​

Explanation:

The variance for sample A and B is:

The Critical Fmax value at df=n-1=6-1=5 and k=2 is 7.2.

The decision rule is:

If the calculated Fmax value is less than the critical Fmax value, then the data meet the homogeneity of variance assumption.

Therefore, the correct answer is:

F_max = 4.0, and since the critical F_max value is 7.15, you conclude that the data meets the homogeneity of variance assumption.

Question 2:

Perform a Fmax test on the following 2 samples, and then choose the correct statement [G&W Chp10].

Sample A: 7, 5, 8, 7, 7, 7, 8, 7 (M = 7, n = 8)
Sample B: 16, 8, 12, 10, 10, 16, 12, 12 (M = 12, n = 8)

Answer: F_max = 9.33, and since the critical F_max value is 4.99, you conclude that the data does not meet the homogeneity of variance assumption.​​​​​​​

Explanation:

The variance for sample A and B is:

The Critical Fmax value at df=n-1=8-1=7 and k=2 is 4.99.

The decision rule is:

If the calculated Fmax value is less than the critical Fmax value, then the data meet the homogeneity of variance assumption.

Therefore, the correct answer is:

F_max = 9.33, and since the critical F_max value is 4.99, you conclude that the data does not meet the homogeneity of variance assumption.​​​​​​​