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B) The archaeologist discovered only nine fossil skeletons of an unknown species of miniature horse. Reconstructions of the skeletons of these miniature horses show the following shoulder heights; 45.3 47.1 44.2 46.8 46.5 45.5 47.6 45.7 46.4 (a) Estimate the Sample Mean and Sample Standard Deviation. (b) Using student’s t-distribution table, estimate the error E at 95% confidence. (c) Estimate the interval of population mean having 95% confidence level.

Answer»

Given data,45.3 47.1 44.2 46.8 46.5 45.5 47.6 45.7 46.4A) SAMPLE MEAN X45.3 47.1 44.2 46.8 46.5 45.5 47.6 45.7 46.4__________________________________ 9X =46.1222Sample standard deviation :-S= √£(x-x^) ________ n-1S=1.0462



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