Compute a 95% confidence interval for the mean economic dynamism of middle-income countries by answering the following questions:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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The economic dynamism, which is the index of productive growth (in dollars) for countries that are designated by the World Bank as middle-income are in following table ("SOCR data 2008," 2013): 

Table:   Economic Dynamism ($) of Middle Income Countries

25.8057
37.4511 51.915 43.6952 47.8506 43.7178 58.0767
41.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.8555
49.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.6252
50.9866 59.1724 39.6282 33.6074 21.6643    

Compute a 95% confidence interval for the mean economic dynamism of middle-income countries by answering the following questions:

(vii)  Using the confidence interval, select the correct description of the result of the survey:

A.  We estimate with 95% confidence that the true proportion mean economic dynamism for middle-income countries is between $40.21 and $47.54.

B.  We estimate with 95% confidence that the proportional economic dynamism for middle-income countries is between $40.21 and $47.54.

C.  We estimate with 95% confidence that the population amount of economic dynamism for middle-income countries is between $40.21 and $47.54.

D.  We estimate with 95% confidence that the true population mean economic dynamism for middle-income countries is between $40.21 and $47.54.

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