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Name: It is suggested that the mean one-day travel expense by tourists in Mo
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Description: It is suggested that the mean one-day travel expense by tourists in Moscow is $500 (assume all one-day travel expenses in Moscow are approximately normally distributed). In a random sample of 16 Moscow tourists, the sample mean one-day travel expens

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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It is suggested that the mean one-day travel expense by tourists in Moscow is $500 (assume all one-day travel expenses in Moscow are approximately normally distributed). In a random sample of 16 Moscow tourists, the sample mean one-day travel expense was $482 with a sample standard deviation s = 22.5. Our goal is to test whether or not the mean one-day travel expense is $500 or not.

Determine the value of the appropriate test statistic to perform this test.

Do not round.

Note: the standard deviation of all one-day travel expenses in Moscow is unknown. This is why we must use the t-distribution instead of the standard normal distribution.

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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