I used RStudio to perform Shapiro-Wilk test for normality. In the following data set calling it $D$, I have performed Shapiro-Wilk test for normality with p-value=0.7698.
34.681 26.291 33.280 36.169 41.471 31.528 25.502 43.211 35.330 30.447
If I consider log transform of data set $D$(i.e. take log on each element of $D$), I perform Shapiro-Wilk test on the transformed data set $log(D)$ with p-value=0.7707.
In particular, I have both $D$ and $log(D)$ data set following normal distribution as Shapiro-Wilk test did not reject either one of them.
$Q$: How should I resolve such contradiction? Note data $D$ and data $log(D)$ cannot both be normal.