Answered: b) If a sample of 40 batches of grain…

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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1. A batch processor dispenses a mean volume of approximately 0.70 cubic meter of grain with a standard deviation of 0.06 cubic meter. The volumes of batches are normally distributed. A test engineer wishes to check the calibration of the processor. a) How many batches would have to be measured for the engineer to be 90% confident that the mean volume of the sample is between 0.97 and 1.03 times the true population mean? b) If a sample of 40 batches of grain is measured, with what confidence can the claim be made that the sample mean volume is within 1% of the true mean volume of the population, if the true mean volume is approximately 0.80 cubic meter? c) If a sample of 150 batches of grain is measured, the engineer can be 90% confident that the sample mean is within what percentage of the true population mean? Again, assume that the population mean is approximately 0.80 cubic meter.

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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