Scores on a standardized mathematics test for 8th grade children in New York State form a normal distribution with µ = 70 and σ = 10.What is the probability of randomly selecting a score less than X = 75?If samples of n = 4 are selected from the population, what proportion of the samples will have means less than M = 75?If samples of n = 4 are selected from the population, what is the probability of randomly selecting a sample that has a mean greater than M = 80? PreviousNext

From the given information 8th grade children in new York state form a normal distribution with mean…

Answered: Scores on a standardized mathematics…

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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Scores on a standardized mathematics test for 8^th grade children in New York State form a normal distribution with µ = 70 and σ = 10.
1. 1. What is the probability of randomly selecting a score less than X = 75?
  2. If samples of n = 4 are selected from the population, what proportion of the samples will have means less than M = 75?
  3. If samples of n = 4 are selected from the population, what is the probability of randomly selecting a sample that has a mean greater than M = 80?

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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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