Answered: A survey in the N.Y. Times Almanac…

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 survey in the N.Y. Times Almanac finds the mean commute time (one way) is 25.4 minutes for the 15 largest US cities. The chamber of commerce in a city feels that their commute time is less and wants to publicize this fact. The mean for 25 randomly selected commuters is 21.5 minutes with a standard deviation of 5.3 minutes. At the

? = 0.10

level, is the city's commute significantly less than the mean commute time for the 15 largest US cities?

Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

a)State the p-value. (Round your answer to four decimal places.)

b)State alpha. (Enter an exact number as an integer, fraction, or decimal.)

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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