Answered: Twenty-five -different automobiles were…

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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Twenty-five -different automobiles were tested in dry conditions at a speed of 65 miles per hour for total stopping distance. The sampling results, measured in feet, are given below.

345, 348, 342, 348, 342, 337, 342, 349, 346, 347, 358, 351, 343, 347, 349,

350, 345, 340, 352, 349, 353, 346, 338, 345, 339

Estimate the mean total stopping distance for automobiles traveling at 65 mph in dry conditions using the sample and a 95% confidence interval. Assume that the total stopping distance for automobiles traveling at 65 mph in dry conditions is normally distributed. Express the estimate both symbolically and verbally.

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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