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.For a sample of 60 teachers, what is the probability that the sample mean is greater than $37,191? Assume that the sample is taken from a large population and the correction factor can be ignored.=P>X37,191

Given Mean=35441, standard deviations=5100, n=60

Answered: The average teacher's salary in North…

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.

For a sample of

teachers, what is the probability that the sample mean is greater than

$37,191

? Assume that the sample is taken from a large population and the correction factor can be ignored.

=P>X37,191

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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