Chapter 10 Section 1 Additional Problem 1 Consider the hypothesis test Ho₁ =μ2 against H₁₁ <H2 with known variances σ1 10 and σ2 = 6. Suppose that sample sizes n₁ = 11 and n₂ = 14 and that x₁ = 14.3 and X2 = 19.6. Use α = 0.05. a (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) if μ is 4 units less than μ₂? (c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if μ1 is 4 units less than μ2? Assume that α = 0.05. (a) The null hypothesis rejected. The P-value is Round your answer to four decimal places (e.g. 98.7654). (b) The power is (c) n₁ = n₂ = Round your answer to two decimal places (e.g. 98.76). Round your answer up to the nearest integer. Statistical Tables and Charts