Practice 7. The drying time of a certain type of paint under specified test conditions is known to be normally distributed with mean value 30 min and standard deviation 3 min. Chemists have proposed a new additive designed to decrease average drying time. Because of the expense associated with the additive, evidence should strongly suggest an improvement in average drying time before such a conclusion is adopted. Experimental data consists of drying times from n = 49 test specimens. (a) From the sample, it is given that test the following hypothesis against its alternative.: = 1440.6. Using the significance level a = 0.01, Ho : μ = 30, US Ha : μ < 30. (b) State the type I and II errors in the context of the problem. (c) Find the type II error rate of the test in (a) when a = 29.
Practice 7. The drying time of a certain type of paint under specified test conditions is known to be normally distributed with mean value 30 min and standard deviation 3 min. Chemists have proposed a new additive designed to decrease average drying time. Because of the expense associated with the additive, evidence should strongly suggest an improvement in average drying time before such a conclusion is adopted. Experimental data consists of drying times from n = 49 test specimens. (a) From the sample, it is given that test the following hypothesis against its alternative.: = 1440.6. Using the significance level a = 0.01, Ho : μ = 30, US Ha : μ < 30. (b) State the type I and II errors in the context of the problem. (c) Find the type II error rate of the test in (a) when a = 29.
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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