Teachers' Salaries in North Dakota The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with o= $5100. Round the fina answers to at least 4 decimal places and round intermediate z-value calculations to 2 decimal places. Part: 0/ 2 Part 1 of 2 What is the probability that a randomly selected teacher's salary is greater than $48,000? P(X> 48,000) = Part: 1/2 Part 2 of 2 For a sample of 40 teachers, what is the probability that the sample mean is greater than $37,010? Assume that the sample is taken from a large population and the correction factor can be ignored. P(X> 37,010) =
Teachers' Salaries in North Dakota The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with o= $5100. Round the fina answers to at least 4 decimal places and round intermediate z-value calculations to 2 decimal places. Part: 0/ 2 Part 1 of 2 What is the probability that a randomly selected teacher's salary is greater than $48,000? P(X> 48,000) = Part: 1/2 Part 2 of 2 For a sample of 40 teachers, what is the probability that the sample mean is greater than $37,010? Assume that the sample is taken from a large population and the correction factor can be ignored. P(X> 37,010) =
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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![**Teachers’ Salaries in North Dakota**
The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with a standard deviation \( \sigma = \$5100 \). Round the final answers to at least 4 decimal places and round intermediate z-value calculations to 2 decimal places.
**Part 1 of 2**
**Question:** What is the probability that a randomly selected teacher's salary is greater than $48,000?
\[ P(X > 48,000) = \]
**Part 2 of 2**
**Question:** For a sample of 40 teachers, what is the probability that the sample mean is greater than $37,010? Assume that the sample is taken from a large population and the correction factor can be ignored.
\[ P(\overline{X} > 37,010) = \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F537e5773-3d4c-41a0-897f-e7ddfe06f975%2F806613ee-20ae-46b9-b0df-b868b3e0bdde%2F4h2sg5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Teachers’ Salaries in North Dakota**
The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with a standard deviation \( \sigma = \$5100 \). Round the final answers to at least 4 decimal places and round intermediate z-value calculations to 2 decimal places.
**Part 1 of 2**
**Question:** What is the probability that a randomly selected teacher's salary is greater than $48,000?
\[ P(X > 48,000) = \]
**Part 2 of 2**
**Question:** For a sample of 40 teachers, what is the probability that the sample mean is greater than $37,010? Assume that the sample is taken from a large population and the correction factor can be ignored.
\[ P(\overline{X} > 37,010) = \]
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