Actuarial Notes

Exam MAS-I Practice Question 165

Study guide: Exam MAS-I

Mean claim severity (in $000) is compared across five territories, with 5 claims from each. The one-way ANOVA gives a mean squared error of \hat\sigma^2 = 1.8 on 20 degrees of freedom. Before seeing the data, the actuary decided to build Bonferroni intervals for all 10 pairwise differences in territory means, with 90% family-wise confidence.

The df = 20 row of the t table (two-sided tail areas) is:

Two-sided area 0.20 0.10 0.05 0.02 0.01
df = 20 1.325 1.725 2.086 2.528 2.845

Calculate the half-width of each Bonferroni interval. Give your answer to two decimal places.

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