Actuarial Notes

CAS Exam MAS-I Fall 2019, Question 21

Study guide: Exam MAS-I

An insurer is estimating the impact of a loss mitigation program. They ran an experiment to evaluate the severities of five losses before and after the program was instituted:

A B C D E
Original Severity 400 800 1200 2000 5000
New Severity 280 500 1235 1600 4800

A paired t-test with the following hypotheses was used to evaluate the effectiveness of this program:

  • H_0: The program had no impact on losses
  • H_1: The program was able to reduce losses

Calculate the smallest significance level at which one would reject the null hypothesis.

  • A) Less than 1.0%
  • B) At least 1.0%, but less than 2.5%
  • C) At least 2.5%, but less than 5.0%
  • D) At least 5.0%, but less than 10.0%
  • E) At least 10.0%

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