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 table #8.3.9 ("SOCR data 2008," 2013).  Compute a 95% confidence interval for the mean economic dynamism of middle-income countries. Show the work   Table #8.3.9: 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

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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 table #8.3.9 ("SOCR data 2008," 2013).  Compute a 95% confidence interval for the mean economic dynamism of middle-income countries. Show the work

 

Table #8.3.9: 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

 

 

 

Expert Solution
Step 1

Let X- Economic dynamism of the middle income countries.

Null hypothesis: H0: μ-60.29

From the data, sample mean ; x¯=43.8727

                        standard deviation ; σ=9.0711

 

Ctritical value of t

tcritical =tα/2, n           =t0.025, 25            = 2.0595 

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