Construct a 95 % confidence interval for the average number of papers published in major world cities. blank <μ

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The scientific productivity of major world cities was the subject of a recent study. The study determined the number of scientific papers published between 1994 and 1997 by researchers from each of the 20 world cities, and is shown below.

 

City Number of papers City Number of papers
City 1 1616 City 11 33
City 2 2626 City 12 99
City 3 1212 City 13 2121
City 4 55 City 14 44
City 5 22 City 15 55
City 6 2626 City 16 44
City 7 66 City 17 2020
City 8 2525 City 18 1717
City 9 1616 City 19 2222
City 10 66 City 20 2525

Construct a 95 % confidence interval for the average number of papers published in major world cities.

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Expert Solution
Step 1

We have given that 

Let X denotes the number of scientific papers published between 1994 and 1997 by researchers from each of the 20 world cities.....

The data is given 

We have to find the confidence interval of average number of papers published in major world cities...

We will calculate the sample mean and standard deviation as follows 

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