Please use the following information to answer question $7-$ question $9.$

Dr$.$ Hu is training for Boston Marathon. Based on online research, Dr$.$ Hu found out that there were $24,607$ runner finished last year $(2022)$ with an average finish time of $3$ hours $45$ mins $(225$ mins$)$ with a standard deviation of $60$ mins.$$

Dr$.$ Hu's personal best is $2$ hours $45$ mins $(165$mins$).$

If Dr$.$ Hu maintains her personal best $(165$mins$)$ and participates this year's marathon,

If the average finish time is $215$mins with a standard deviation of $65$mins.

What would be Dr$.$ Hu's Z$-$score in this competition?$$

Please round to $100$th decimals place $(0\mathrm{.}01)$