Answered: A population value has 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

See similar textbooks

Related questions

Concept explainers

Question

A population value has a normal distribution with μ=245.4 and σ=76.4. A random sample of size n=231 is drawn. Find the probability that a single randomly selected value is between 238.4 and 251.4. Find the probability that a sample size of n=231 is randomly selected with a mean between 238.4 and 251.4.

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.

Expert Solution

Step 1

The probability that a single randomly selected value is between 238.4 and 251.4 can be calculated as:

By using the standard normal table,

Hence, the probability that a single randomly selected value is between 238.4 and 251.4 is,

0.0678

Step by step

Solved in 2 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions