Answered: .The Springfield Water Treatment plant…

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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1.The Springfield Water Treatment plant is constantly measuring the quality of their drinking water. The level of pH is one item that is measured by them, and the water treatment plant has a target pH of 8.2.

In a recent test of 14 samples of water from the treatment plant, they found the following pH levels in their water: 8.6, 8.5, 9.1, 8.4, 8.1, 9.3, 8.8, 8.9, 9.3, 8.0, 8.7, 8.6, 8.7, 9.1 . Also assume that the pH level in the water is approximately normally distributed.

Please use R-studio for the following questions. Thank you.

a.Compute the p-value of your test statistic using the “pt()” function. Interpret this value with a complete

b.Use “t.test(X, alternative = “two.sided”, mu= 2)” on R to quickly verify your result from part a.

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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