Answered: The times for a particular journey…

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) The times for a particular journey during rush hour in a certain city have a mean of 23.3 minutes and standard deviation 8.9 minutes.
Using Excel or otherwise, determine the probability that the mean time taken for a random sample of 60 of the times of this journey is less than 25 minutes.

(b) A factory produces steel sheets whose weights are known to be normally distributed with a standard deviation of 1.7kg. A random sample of 47 sheets had a mean weight of 27.3kg. Construct a 95% confidence interval for the population mean.

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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