how do i reword this purpose staetment for my experiment?

Lab Manual:
Purpose: To measure a physiological quantity,your reaction time to both audio and visual stimulus.

Rewording: To scientifically measure the test subjects reaction time in both audio and visual stimulus.(is this good?)

You really don't need the word "scientifically". There should be an apostrophe at the end of the word "subjects", or before the last s, depending upon how many subjects there are.

To reword the purpose statement for your experiment, you can try the following:

Original Purpose Statement: To measure a physiological quantity, your reaction time to both audio and visual stimulus.

Reworded Purpose: The aim of this experiment is to scientifically quantify the reaction time of test subjects to both audio and visual stimuli.

By using this reworded statement, you have retained the essential information from the original purpose statement while making it sound clearer and more concise.