Answered: Salaries of a city follows a normal…

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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Q2. (Sample mean with unknown population variance) Salaries of a city follows a normal distribution with average salary of $1 million. Assume that salary is normally distributed. Suppose a sample of 60 citizens was taken. The sample standard deviation is $0.1 million.

(a) What is the standard error for the sample mean salary?

(b) What is the probability that the sample mean salary is more than $1.2 million?

(d) What is the probability that the sample mean salary is between than $1.1 million

and $1.3 million?

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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