Answered: A candy company produces twizzlers. the…

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 candy company produces twizzlers. the mean should not be more than 110 cm. the size of the candy follows a normal distribution with a standard deviation of 5 cm. 9 twizzlers are selected randomly with a mean length of 107 cm.

a)does the length of the twizzlers meet the requirement? α=0.05.

b) calculate the p-value for this. calculate the probability of rejecting the null hypothesis if the true mean of the candy is 112.5 cm. α=.05

c)if the true mean is 113 cm, what would the sample size need to be to make sure B does not go above .10? α =0.05

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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