Let p denote the probability that, for a particular tennis player, the first serve is good. Since p = 0.4, this player decided to take lessons in order to increase p. When the lessons are completed, the hypothesis Ho : p= 0.40 is tested against H1 : p> 0.4 based on n= 25 trials. Let y equal the number of first serves that are good, and let the critical region be defined by C = {y: y 2 13}. Determine a = P(Y > 13; p= 0.40) and Find B = P(Y < 13) when p= 0.60; that is, 3 = P(Y < 12; p= 0.6) so that 1-3 is the power at p= 0.60. %3D

Let p denote the probability that, for a particular tennis player, the first serve is good. Since p = 0.4, this player decided to take lessons in order to increase p. When the lessons are completed, the hypothesis Ho : p= 0.40 is tested against H1 : p> 0.4 based on n= 25 trials. Let y equal the number of first serves that are good, and let the critical region be defined by C = {y: y 2 13}. Determine a = P(Y > 13; p= 0.40) and Find B = P(Y < 13) when p= 0.60; that is, 3 = P(Y < 12; p= 0.6) so that 1-3 is the power at p= 0.60. %3D

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Please see attached mathematical statistics question. How to determine alpha = P(Y >= 13; p = 0.40) and find B = P(Y < 13) when p = 0.60; that is, B = P(Y <= 12; p = 0.6) so that 1 - B is the power at p = 0.60?

Let p denote the probability that, for a particular tennis player, the first serve is good.
Since p = 0.4, this player decided to take lessons in order to increase p. When the
lessons are completed, the hypothesis Ho : p = 0.40 is tested against H1 : p> 0.4 based
on n = 25 trials. Let y equal the number of first serves that are good, and let the critical
region be defined by C = {y : y 2 13}.
Determine a = P(Y > 13; p = 0.40) and Find 3 = P(Y < 13) when p = 0.60;
that is, 3 = P(Y < 12; p = 0.6) so that 1-3 is the power at p = 0.60.
%3D

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