Considering statement 1: The last day of the month is a Wednesday. However, we do not know the number of days in the month, so we cannot find the day on the $14$th of that month.

Hence, statement 1 alone is not sufficient to answer the question.

Considering statement 2: $17$th of that month is the third Saturday. So, $14$th of that month must be a Wednesday.

Hence, statement 2 alone is sufficient to answer the question.