Dr. Xiong, a clinical psychologist, wishes to test the claimthat there is a significant difference in a person's adult weightif he is raised by his father instead of his mother. Dr. Xiongsurveys five sets of identical twin boys who were raisedseparately, one by the mother and one twin by the father. Each twinis weighed and identified as having been raised by his mother orhis father. The following table lists the results. Do these datasupport 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 |
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Twin Raised by Mother | 134.81 | 221.37 | 163.92 | 193.45 | 131.38 |
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Step 1 of 3:
State the hypotheses for this test.
Answers: A:  H0: μ1 ≤ μ2 , Ha:μ1 > μ2
B: H0: μd = 0, Ha: μd ≠0
C: H0: μd ≤ 5, Ha: μd > 5
D: H0: μ1 = μ2, Ha: μ1 ≠μ2
Step 2 of 3
Compute the value of the test statistic.
Answers: A:Â Â 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 sufficientevidence to support the claim that there is a significantdifference in a person's weight if he is raised by his fatherrather than his mother.
B: Since t < -4.604, reject H0. There is sufficient evidence tosupport the claim that there is a significant difference in aperson's weight if he is raised by his father rather than hismother.
C: Since p-value > 0.10, fail to reject H0. There is notsufficient evidence to support the claim that there is asignificant difference in a person's weight if he is raised by hisfather rather than his mother.
D: Since t > -4.604, fail to reject H0. There is sufficientevidence to support the claim that weight and who raised the childare related.