Question

Dr. Xiong, a clinical psychologist, wishes to test the claim that there is a significant difference in a person's adult weight if he is raised by his father instead of his mother. Dr. Xiong surveys five sets of identical twin boys who were raised separately, one by the mother and one twin by the father. Each twin is weighed and identified as having been raised by his mother or his father. The following table lists the results. Do these data support Dr. Xiong's claim at the 0.01 level of significance?

Weights of Twins (in Pounds)

Twin Raised by Father	143.67	235.91	156.34	187.21	129.81
Twin Raised by Mother	134.81	221.37	163.92	193.45	131.38

Step 1 of 3:

State the hypotheses for this test.
Answers: A:  H0: μ₁ ≤ μ_{2 ,} Ha: μ₁ > μ₂
B: H0: μ_d = 0, Ha: μ_d ≠ 0
C: H0: μ_d ≤ 5, Ha: μ_d > 5
D: H0: μ₁ = μ_2, Ha: μ₁ ≠ μ₂

Step 2 of 3
Compute the value of the test statistic.
Answers: A:  F = 2.12
B: t = 9.213
C: F = 3.695
D: t = -.370

Step 3 of 3: State the conclusion for this test.
Answers: A: Since p-value < 0.10, reject H0. There is sufficient evidence to support the claim that there is a significant difference in a person's weight if he is raised by his father rather than his mother.
B: Since t < -4.604, reject H0. There is sufficient evidence to support the claim that there is a significant difference in a person's weight if he is raised by his father rather than his mother.
C: Since p-value > 0.10, fail to reject H0. There is not sufficient evidence to support the claim that there is a significant difference in a person's weight if he is raised by his father rather than his mother.
D: Since t > -4.604, fail to reject H0. There is sufficient evidence to support the claim that weight and who raised the child are related.

Answer 1