C and D only 10-1. Consider the hypothesis test Ho:u, = u2 againstH:u, #u2 with known variances o, = 10 and o2 =8. Sup-pose that sample sizes n, = 10 and n2 = 15 and that x = 4.7 andX =7.8. Use a = 0.05.(a) Test the hypothesis and find the P-value.(b) Explain how the test could be conducted with a confidence%3D%3Dinterval.(c) What is the power of the test in part (a) for a true differencein means of 3?(d) Assume that sample sizes are equal. What sample sizeshould be used to obtain B= 0.05 if the true difference ingO means is 3? Assume that = 0.05.9

Answered: C and D only

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. The sample mean weights for two varieties of lettuce grown for 16 days in a controlled environment are 3.259 and 1.413 and the corresponding sample standard deviations are .400 and .220. If the sample sizes for the two varieties are 9 and 6 respectively, what would be the pair of hypotheses to test if the two varieties of lettuce have the same average weight? (Given: weight of each variety of lettuce is normally distributed). A. H0: μ1 ≠ μ2 vs H1: μ1 = μ2 B. H0: μ1 = μ2 vs H1: μ1 ≠ μ2 C. H0: μ1 > μ2 vs H1: μ1 ≤ μ2 D. H0: μ1 ≤ μ2 vs H1: μ1 > μ2 2. At 5% level, what are the critical values for testing equality of mean weights in problem 1? A. 2.18 B. -2.18 and 2.18 C. -1.78 D.-1.78 and 1.78 3.What is the best decision using critical value approach in problem 1? A. The computed test statistic falls in the critical region and we do not reject the null hypothesis. B. The computed test statistic does not fall in the critical…
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