A population has a mean of 200 and a standard deviation of 80. Suppose a simple random sample of size 100 is selected and T is used to estimate u. Use z-ta a. What is the probability that the sample mean will be within +4 of the population mean (to 4 decimals)? b. What is the probability that the sample mean will be within ±18 of the population mean (to 4 decimals)?
A population has a mean of 200 and a standard deviation of 80. Suppose a simple random sample of size 100 is selected and T is used to estimate u. Use z-ta a. What is the probability that the sample mean will be within +4 of the population mean (to 4 decimals)? b. What is the probability that the sample mean will be within ±18 of the population mean (to 4 decimals)?
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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![A population has a mean of 200 and a standard deviation of 80. Suppose a simple random sample of size 100 is selected and \( \bar{x} \) is used to estimate \( \mu \). Use z-table.
a. What is the probability that the sample mean will be within ±4 of the population mean (to 4 decimals)?
[Text Box]
b. What is the probability that the sample mean will be within ±18 of the population mean (to 4 decimals)?
[Text Box]
(Check My Work option with 3 remaining attempts)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d8ced1e-c405-49cc-9707-ee99115bb45e%2F960f9e9a-4bb5-4e34-b921-6c70ebb8148e%2Fxegus8_processed.png&w=3840&q=75)
Transcribed Image Text:A population has a mean of 200 and a standard deviation of 80. Suppose a simple random sample of size 100 is selected and \( \bar{x} \) is used to estimate \( \mu \). Use z-table.
a. What is the probability that the sample mean will be within ±4 of the population mean (to 4 decimals)?
[Text Box]
b. What is the probability that the sample mean will be within ±18 of the population mean (to 4 decimals)?
[Text Box]
(Check My Work option with 3 remaining attempts)
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