The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with =σ$5100. Round the final answers to at least 4 decimal places and round intermediate z-value calculations to 2 decimal places.Part: 0 / 20 of 2 Parts Complete Part 1 of 2 What is the probability that a randomly selected teacher's salary is greater than $40,400?=P>X40,400

It is given that Mean, μ = 35441 Standard deviation, σ = 5100 Z-Score, Z = ( X - μ )/σ

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Question

The average teacher's salary in North Dakota is

$35,441

. Assume a normal distribution with

=σ$5100

. Round the final answers to at least

decimal places and round intermediate

-value calculations to

decimal places.

Part: 0 / 2

0 of 2 Parts Complete

Part 1 of 2

What is the probability that a randomly selected teacher's salary is greater than

$40,400

=P>X40,400

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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