The average teacher's salary in North Dakota is $35,441. Assume a normaldistribution with o = $5100. Round the final answers to at least 4 decimal places and round intermediate z-valuecalculations to 2 decimal places. For a sample of 40 teachers, what is the probability that the sample mean is greater than $37,253? Assume that the sample is taken from a large population and the correction factor can be ignored.\[ P\left(\bar{X} > 37,253 \right) = \, \] (there is an empty space for input).

given data, n=40μ=35441σ=5100we have to find out the probability that the sample mean is greater…

Answered: For a sample of 40 teachers, what is…

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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The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with o = $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 40 teachers, what is the probability that the sample mean is greater than $37,253? Assume that the sample is taken from a large population and the correction factor can be ignored.

\[ P\left(\bar{X} > 37,253 \right) = \, \] (there is an empty space for input).

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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