Answered: How heavy a load (pounds) is needed to…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter34: Customary Micrometers

Section: Chapter Questions

Problem 58A

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How heavy a load (pounds) is 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

Suppose that the strength of pieces of wood like these follows a Normal distribution with standard deviation 3000 pounds. Give a 90% confidence interval for the mean load required to pull the wood apart.

__ to __ lb

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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