The data below are random samples from two independent lognormal distributions; 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).