CAS Exam MAS-I Fall 2019, Question 19

Study guide: Exam MAS-I

You are testing the following hypotheses about a random variable, X:

• H_0: X is uniformly distributed on [0,16]
• H_1: X is uniformly distributed on [8,16]

You used a single observation and the best critical region with power of 0.95 to evaluate this hypothesis.

Calculate the probability of a Type I error.

• A) Less than 0.40
• B) At least 0.40, but less than 0.50
• C) At least 0.50, but less than 0.60
• D) At least 0.60, but less than 0.70
• E) At least 0.70

Answer this question and see the worked solution

Concepts tested

• Neyman-Pearson Lemma
• Type I Error
• Power of a Test
• Uniform Continuous Distribution

More questions from this set

• CAS Exam MAS-I Fall 2019, Question 18
• CAS Exam MAS-I Fall 2019, Question 20