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)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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