Answered: A facility management company is…

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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A facility management company is interested in determining the average temperature during July of one manufacturing facility. The temperatures (in °F) during 49 randomly selected days in July during the past 5 years are as follows:
95 84 87 81 84 89 80 83 82 90 82 87 90 81 83 85 94
92 92 95 95 80 88 87 85 95 80 81 81 93 87 92 94 83
80 81 95 93 82 82 83 85 80 95 84 82 84 81 88

a. Assuming temperature readings to be normally distributed, find a 95% confidence interval for the average temperature of one manufacturing facility for the month of July.
b. Suppose the population standard deviation of temperature readings for July is known to be 1.8°F. Find a 95% confidence interval for the average temperature.

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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