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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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Listed below are the amounts of net worth​ (in millions of​ dollars) of the ten wealthiest celebrities in a country. Construct a 95​% confidence interval. What does the result tell us about the population of all​ celebrities? Do the data appear to be from a normally distributed population as​ required?

a. What is the confidence interval estimate of the population mean mu​?

​$million less than muless than​ $  million
​(Round to one decimal place as​ needed.)
 
258
211
190
175
165
162
157
157
157
152
Transcribed Image Text:258 211 190 175 165 162 157 157 157 152
Expert Solution
Step 1

 

Sample  Dark (x)    (x-x̄)2
1 258 6336.16
2 211 1062.76
3 190 134.56
4 175 11.56
5 165 179.56
6 162 268.96
7 157 457.96
8 157 457.96
9 157 457.96
10 152 696.96
Sum 1784 10064.40
Mean (x̄)   178.40  

sample size (n) = 10

sample mean (x̄) = Σx /n =  1784/10 = 178.40

sample standard deviation (s) = √Σ (x-x̄)2 /(n-1) = √10064.40/(10-1) = 33.4405

 

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