Answered: f a random sample of 100 vehicles 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 motorcar industry research study found that the tyre lifespan for economic sedan cars is normally distributed with a mean of 30 000km and a standard deviation of 4 500km.

If a random sample of 100 vehicles is selected, calculate the standard error of the sample means

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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Concept and formula:

The standard error is known as the estimated value of the standard deviation of its sampling distribution.

The standard error can be calculated as:

Here,

σ = Standard deviation

n = Sample size

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