Answered: You decide to flip a coin each day to…

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

You decide to flip a coin each day to decide which route to take to school: highway or back roads. In a random sample of 15 days that you take the highway, the mean travel time was 22 minutes with a standard deviation of 4 minutes. In a random sample of 15 days that you take the back roads, the sample mean was 25 minutes with a standard deviation of 2 minutes. Assume that each sample is approximately normally distributed.

a. Perform all 7 steps of hypothesis testing to determine if there is a difference in the mean travel time between
the two routes, at α = 0.05.
b. Find and interpret a 95% confidence interval for the difference in two means. How large might the difference
in means be?

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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