MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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1. 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 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.
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Transcribed Image Text:1. 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 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.
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