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Name: An important property of fiber is its ability to absorb water . Thirty
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Description: An important property of fiber is its ability to absorb water . Thirty (30) randomly selected pieces of cotton fiber were found to have an average percent absorbency of 20 with a standard deviation of 1.75 . On the other hand , 30 pieces of acetate h

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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An important property of fiber is its ability to absorb water . Thirty (30) randomly selected pieces of cotton fiber were found to have an average percent absorbency of 20 with a standard deviation of 1.75 . On the other hand , 30 pieces of acetate had an average percent of absorbency of 14 and a standard deviation of 1.50.

a. Assuming that the percent absorbency is normally distributed and that the population variances for the two variances are the same , is there convincing evidence to conclude that the mean percent absorbency for cotton fiber is significantly higher than for acetate ? Use a significance level of 0.10.

b. What is the p-value of the test statistic ?

c. Determine the corresponding confidence interval for the mean difference between the average percent absorbency of the two fibers .

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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