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 thesample is taken from a large population and the correction factor can be ignored.P(X> 37,253)

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…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E

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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(X> 37,253)

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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