Answered: Set your hypothesis h0 and h1. b) Show…

Name: A drug manufacturer thinks that the average additive concentration in
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A drug manufacturer thinks that the average additive concentration in drugs should not exceed 0.03. It is known that the additive concentration is normally distributed and its standard deviation is 0.004. 36 drugs were randomly selected and controlle

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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A drug manufacturer thinks that the average additive concentration in drugs should not exceed 0.03. It is known that the additive concentration is normally distributed and its standard deviation is 0.004. 36 drugs were randomly selected and controlled, and the average additive concentration was found to be 0.0309. At α = 0.01 significance level, whether the average additive concentration exceeds 0.03;

a) Set your hypothesis h0 and h1.
b) Show the rejection region by scanning on the distribution curve and expressing the critical value.
c) Calculate the test statistics.
d) Calculate the p-value for the test.
e) Write down and interpret the decision you made as a result of the hypothesis test.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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