Answered: Pulling Apart Wood. How heavy a load…

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

Pulling Apart Wood. How heavy a load (in pounds) is

4step needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square? Here are data from students doing a laboratory exercise:

33,190

31,860 32,590 26,520

33,280

32,320

33,020

32,030

30,460

32,700

23,040

30,930

32,720

33,650

32.340

24,050 30,170

31,300

28,730 31,920

We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume that characteristics of materials vary Normally. Suppose that the strength of pieces of wood like these follows a Normal distribution, with standard deviation 3000 pounds.

Is there statistically significant evidence at the
a = 0.10 level against the hypothesis that the mean
is 32,500 pounds for the two-sided alternative?
Is there statistically significant evidence at the
a = 0.10 level against the hypothesis that the mean
is 31,500 pounds for the two-sided alternative?

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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