Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of509 and a standard deviation of125.If 16 men are randomly selected, find the probability that their mean score is at least 590.a. Define the parameter A.x overbar equalsThemean score of 16 randomly selected men B.x overbar equalsThescore of a randomly selected man b. State the mean ofx overbar:nothing c. State the standard deviation ofx overbar:nothing (use 2 decimal places) d. Find the z-score:nothing (use 2 decimal places) e. Find the probability:nothing (use 4 decimal places)

The mean is 509 and the standard deviation is 125.

Answered: cores for men on the verbal portion of…

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 for men on the verbal portion of the SAT-I test are normally distributed with a mean of

509

and a standard deviation of

125

If 16 men are randomly selected, find the probability that their mean score is at least 590.

a. Define the parameter

x overbar equals

The

mean score of 16 randomly selected men

x overbar equals

The

score of a randomly selected man

b. State the mean of

x overbar

nothing

c. State the standard deviation of

x overbar

nothing

(use 2 decimal places)

d. Find the z-score:

nothing

(use 2 decimal places)

e. Find the probability:

nothing

(use 4 decimal places)

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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