Answered: The manager of a large production…

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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The manager of a large production facility belleves that worker productivity is a function of among other things, the design of the job, which refers to the sequence of worker movements involved. Two designs are being considered for the production of a new product. In an experiment, six workers using design A minutes, for this product. (The six observations were 8.2, 5.3, 6.5, 5.1, 9.7 and 10.8) Eight workers using design B and had a mean assembly time of 9.20 minutes with standard deviation of 1.35 mlnutes. (the eight observations were 9.5, 8.3, 7,5, 10.9, 11.3, 9.3, 8.8, and 8.0) Can we conclude at the 5% significance level that the average assembly times differ between the two designs? Assume that the times are normally distributed.

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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