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In order to estimate the av sample of 100 students yie Math scores in that state is Construct a 95% c (a) (b) Find the margin o answer in plain la In order for the m

In order to estimate the av sample of 100 students yie Math scores in that state is Construct a 95% c (a) (b) Find the margin o answer in plain la In order for the m

MATLAB: An Introduction with Applications
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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1. In order to estimate the average SAT Math score \( \mu \) in a certain state, a simple random sample of 100 students yields an average of 527 points. Assume that the s.d. of all SAT Math scores in that state is 90 points. (a) Construct a 95% confidence interval for \( \mu \). (b) Find the margin of error associated with this confidence interval and interpret the answer in plain language. (c) In order for the margin of error to be no greater than 15, how large a sample should be drawn instead? (d) If 2000 such confidence intervals are constructed, how many of them will contain the value of \( \mu \)? Why? (e) If 2000 such confidence intervals are constructed, how many of them are expected to contain the value of \( \mu \)? Why?
Transcribed Image Text:1. In order to estimate the average SAT Math score \( \mu \) in a certain state, a simple random sample of 100 students yields an average of 527 points. Assume that the s.d. of all SAT Math scores in that state is 90 points. (a) Construct a 95% confidence interval for \( \mu \). (b) Find the margin of error associated with this confidence interval and interpret the answer in plain language. (c) In order for the margin of error to be no greater than 15, how large a sample should be drawn instead? (d) If 2000 such confidence intervals are constructed, how many of them will contain the value of \( \mu \)? Why? (e) If 2000 such confidence intervals are constructed, how many of them are expected to contain the value of \( \mu \)? Why?
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