Answered: A brand of water-softener salt comes in…

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 brand of water-softener salt comes in bags marked “net weight 18kg”. The
company that packages the salt claims that the bags contain an average of 18kg of
salt and that the standard deviation of the weight of the bag is 0.68kg. Assume that
the weight of the bags is normally distributed and unless otherwise indicated use ? =
.05.

a) Consider the scenario where we randomly select one bag of water-softener salt,
assuming the company’s claim is true.
i. Find the probability that the weight of one randomly selected bag of
water softener salt will be 17.5kg or less.
ii. What is the z-value for a bag that weighs 17.5kg?
iii. What bag weights fall in the bottom 5% of the distribution?

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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