Answered: a. Find a 99% confidence interval for…

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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Transcribed Image Text:In a recent study, the strengths of a plywood and oriental strand brand (OSB) were compared. Independent random samples of each type of wood were obtained, and the dry density of each piece (in g/m ) was measured. Assume that populations are normal and the variances are equal. The summary statistics are given in the following table: Plywood n, =12 X, =581.8 X, =605.2 s =5.56 OSB n =15 s, =7.23 a. Find a 99% confidence interval for the difference in population mean dry densities. b. Interpret the interval found in part a. c. Do the data indicate that the true mean dry density of plywood is significantly less than the true mean dry density of OSB? Us a = 0.05. (i) State the null and alternative hypotheses. (ii) Calculate the value of the test statistic. (iii) Rejection region. (iv) Conclusion. (vi) What assumption are necessary for the test in part e to be valid?

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