Answered: a. Determine ß for the following test… | bartleby

MATLAB: An Introduction with Applications

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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**Question 3:**

a. Determine \( \beta \) for the following test of hypothesis, given that \( \mu = 310 \):

\[ H_0: \mu = 300 \]

\[ H_1: \mu > 300 \]

The statistics practitioner knows that the population standard deviation is 50, the significance level is 5%, and the sample size is 81.

b. Repeat part(a) with \( n = 36 \).

c. Describe the effect on \( \beta \) of decreasing \( n \).

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