Suppose a random sample of size 49 is drawn from a population with a mean of 279. If 91% of the time the sample mean is less than 283, what is the population standard deviation? (Round your answer to 2 decimal places, e.g. 15.25.) Appendix A Statistica
Suppose a random sample of size 49 is drawn from a population with a mean of 279. If 91% of the time the sample mean is less than 283, what is the population standard deviation? (Round your answer to 2 decimal places, e.g. 15.25.) Appendix A Statistica
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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![**Question:**
Suppose a random sample of size 49 is drawn from a population with a mean of 279. If 91% of the time the sample mean is less than 283, what is the population standard deviation?
(Round your answer to 2 decimal places, e.g., 15.25.)
σ = [ ]
**Explanation:**
This problem requires you to determine the population standard deviation when given the sample size, population mean, and the probability that the sample mean is below a certain value. You can use the properties of the normal distribution and the concept of z-scores to solve it. Refer to Appendix A Statistical Tables for the z-score corresponding to the given probability.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0842b344-c7d5-4c3e-ba44-bf4c8906a0a3%2F0dd5e055-b41d-4396-a0b6-cc7b79560df5%2Fdjvq1n9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
Suppose a random sample of size 49 is drawn from a population with a mean of 279. If 91% of the time the sample mean is less than 283, what is the population standard deviation?
(Round your answer to 2 decimal places, e.g., 15.25.)
σ = [ ]
**Explanation:**
This problem requires you to determine the population standard deviation when given the sample size, population mean, and the probability that the sample mean is below a certain value. You can use the properties of the normal distribution and the concept of z-scores to solve it. Refer to Appendix A Statistical Tables for the z-score corresponding to the given probability.
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