Answered: Assume that the helium porosity (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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Question

Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally
distributed with true standard deviation 0.75. The true average porosity of a certain seam if the average
porosity for 33 specimens from the seam was 4.85 and significance level α = 0.05.
(a) Check the conditions to determine whether you can use the CLT to find a confidence interval.

(d) Find the length of the CI.

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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