Answered: cereal company claims that the mean…

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

A cereal company claims that the mean weight of the cereal in its packets is more than 14 oz. The weights (in ounces) of the cereal in a random sample of 8 of its cereal packets have a mean weight of 14.05 oz. and a standard deviation of 0.35 oz. At the .01 significance level, test this claim. Cereal weights are known to be normally distributed.

Find the null hypothesis, H₀.

What is the test statistic?

What is the critical value?

Do you reject or fail to reject the null hypothesis (H₀)?

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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