Actuarial Notes

CAS Exam MAS-I Fall 2018, Question 22

Study guide: Exam MAS-I

You are given the following table of test scores for four pairs of brothers and sisters:

Pair 1 2 3 4
Brother 89 94 78 80
Sister 86 95 71 77
  • All test scores are normally distributed with a common variance
  • Test scores between a brother and his sister are not independent
  • You want to test the hypothesis:
    • H_0: Mean test scores of brother and sister are equal
    • H_1: Mean test scores of brother and sister are not equal

Calculate the p-value of this test.

  • A) Less than 0.01
  • B) At least 0.01, but less than 0.02
  • C) At least 0.02, but less than 0.05
  • D) At least 0.05, but less than 0.10
  • E) At least 0.10

Answer this question and see the worked solution

Concepts tested

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