CAS Exam MAS-I Spring 2019, Question 23

Study guide: Exam MAS-I

Two independent random samples of sizes 10 and 12 are taken from two separate normal distributions with unknown variances \sigma_1^2 and \sigma_2^2, respectively.

• S_1^2 and S_2^2 are the unbiased sample variances
• S_1^2 = 4
• You want to perform the following hypothesis test:
  • H_0\colon 2\sigma_1^2 = \sigma_2^2
  • H_1\colon 2\sigma_1^2 < \sigma_2^2
• The p-value of this test is 1.0%

Calculate S_2^2.

• A) Less than 10
• B) At least 10, but less than 20
• C) At least 20, but less than 30
• D) At least 30, but less than 40
• E) At least 40

Answer this question and see the worked solution

Concepts tested

• Hypothesis Testing
• p-Value
• Sample Variance
• Sampling Distribution

More questions from this set

• CAS Exam MAS-I Spring 2019, Question 22
• CAS Exam MAS-I Spring 2019, Question 24