**Question 12**Create a 85% confidence interval for a population mean from a sample of size 57 with sample mean $ \bar{x} = 10 $. The population standard deviation is known to be $ \sigma = 3 $.\[ ( \quad\quad\quad\quad , \quad\quad\quad\quad ) \][three decimal accuracy] [three decimal accuracy]

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Answered: Create a 85% confidence interval for a…

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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Step 1: Given data,

$G i v e n space d a t a comma A thin space c o n f i d e n c e space l e v e l colon C I equals 0.85 A thin space s a m p l e space s i z e colon n equals 57 A space s a m p l e space m e a n colon X with bar on top equals 10 A thin space p o p u l a t i o n space s tan a d r d space d e v i a t i o n colon sigma equals 3 U s e space Z minus t e s t space f o r space k n o w n space p o p u l a t i o n space s tan d a r d space d e v i a t i o n. W e space h a v e space t o space f i n d space o u t space t h e space C I space f o r space t h e space g i v e n space d a t a.$