Answered: Commute Time to Work The average…

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

1. Commute Time to Work The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probability that a randomly selected commuter spends for the following cases. Round the final answers to at least four decimal places and intermediate z-value calculations to two decimal places.

More than 38 minutes commuting one way = ?

2. High School Competency Test A mandatory competency test for high school sophomores has a normal distribution with a mean of 430 and a standard deviation of 87. Round the final answers to the nearest whole number and intermediate z-value calculations to 2 decimal places.

(a)The top 4% of students receive $500. What is the minimum score you would need to receive this award?

The minimum score needed to receive the award is

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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