Answered: In order to ensure the consistency of…

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

In order to ensure the consistency of their product, the Oriental Spice Sauce company has a strict policy that the standard deviation of the sodium content in the product is 90⁢mg. For one size of the bottle, the sodium content is supposed to be 900⁢mg. In a random sample of 21 bottles, the standard deviation was found to be 57.2438⁢mg. Is there evidence at α=0.05 that the standard deviation of the sodium content has changed from the desired level? Assume the population is normally distributed.

Step 1 of 5 :

State the null and alternative hypotheses. Round to four decimal places when necessary.

Step 2 of 5 :

Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places.

Step 3 of 5 :

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

Step 4 of 5 :

Make the decision.

Step 5 of 5 :

What is the conclusion?

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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