An Introduction to Mathematical Statistics and Its Applications (6th Edition)
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
6th Edition
ISBN: 9780134114217
Author: Richard J. Larsen, Morris L. Marx
Publisher: PEARSON
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Chapter 12.A.2, Problem 2Q

In the scenario of the previous question, is H 1 : μ 1 = 2 ,  μ 2 = 1 ,  μ 3 = 1 ,  μ 4 = 3 ,  μ 5 = 0 an “admissible” alternative hypothesis?

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In testing the hypotheses H0: p = 0.5 vs Ha: p <= 0.5, suppose you get a p-value 0.022. Thenyou realize that the one sided alternative is too restrictive and re-do the test with a two sidedalternative Ha : p =/= 0.5.Based on the new p-value, what will be your conclusion ? A. Reject H0 at alpha = 0.01 but not at alpha = 0.05; 0.1.B. Reject H0 at alpha = 0.05 and alpha = 0.1 but not at alpha = 0.01.C. Fail to reject H0 at all the above alpha values.D. Reject H0 at alpha = 0.05 and alpha = 0.01 but not at alpha = 0.1.E. Reject H0 at all the above alpha values.
For a hypothesis test, alpha = 0.05 The computed P-Value = 0.011Should H0 be rejected?: Fail to Reject H_0 Reject H_0 What is the correct conclusion? There IS sufficient evidence to reject the Null Hypothesis and accept the alternative. There is NOT sufficient evidence to reject the Null Hypothesis and accept the alternative.
3. Find the particular solution of the Bernoulli’s Equation.y^' = 5.4y − 12y^2 , y(0) = 1.
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