Below are n = 50 observations generated by Minitab€™s RANDOM command that are presumably a random sample from the exponential pdf, fY(y) = eˆ’y, y ‰¥ 0. Use Theorem 14.2.1 to test whether the difference between the sample median for these yi€™s (= 0.604) and the true median of fY(y) is statistically significant. Let α = 0.05.

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0.27187 0.46495 0.19368 0.80433 1.25450 0.62962 1.88300 1.31951 2.53918 I.21187 0.95834 0.49017 0.87230 0.88571 1.41717 1.75994 0.60280 2.19654 0.00594 4.11127 0.24130 0.16473 0.08178 I.01424 0.60511 0.87973 0.06127 0.24758 0.54407 0.05267 0.75210 0.13538 0.42956 0.02261 1.20378 1.09271 1.88705 0.17500 0.50194 0.52122 0.02915 0.27348 0.08916 0.72997 0.37185 0.06500 1.47721 4.02733 0.64003 0.05603