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The data below are random samples from two independent lognormal distri- butions; speci?cally, XL1 ∼ L(0, 0.25) and XL2 ∼ L(0.25, 0.25).
XL1
0.81693
XL2
1.61889
0.96201
1.15897
1.03327
1.17163
0.84046
1.09065
1.06731
1.27686
1.34118
0.91838
0.77619
1.45123
1.14027
1.47800
1.27021
2.16068
1.69466
1.46116
(i) Test the validity of these statements directly from the data as presented.
(ii) Test the validity of these statements indirectly by taking a logarithmic transformation of the data, and carrying out an appropriate analysis of the resulting log-transformed data. Compare the results with those obtained in (i).
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