Answered: manufacturer of a popular antibiotic…

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

The manufacturer of a popular antibiotic must ensure that each 55-mL dose contains 250250 milligrams (mg) of the active ingredient. It is also essential that the variance of the amounts of active ingredient per dose be less than 0.30.3. For testing purposes, a random sample of 159159 doses is taken, and the standard deviation of the amounts of active ingredient per dose in the sample is found to be 0.5mg0.5⁢mg. Does the evidence support the claim that the variance is within the necessary bounds, at the 0.0250.025 level of significance? Assume that the amounts of active ingredient per dose of the antibiotic are normally distributed.

Step 2 of 3 :

Compute the value of the test statistic. Round your answer to three decimal places.

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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