Answered: mean distance is 39 miles and the…

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

7. A SRS of 25 commuters to the Washington DC area are selected, and each is asked how far they commute to work each day. In the sample, the mean distance is 39 miles and the sample standard deviation is 6 miles. Assume that in the population of all commuters to the D.C. area, daily commuting distance follows a normal distribution, with some mean \muμ. A 90% confidence interval for the population mean commuting distance based on these data is

a. 39±1.645 miles

b. 39 ±1.974 miles

c. 39±2.0532 miles

d. 39 ±1.711 miles

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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