You are working for a company that is developing a new device to help reduce hypertension

$($high blood pressure$).$ The primary measurement is systolic pressure. Group $1$ has an average

systolic pressure of $146$ mmHg with a standard deviation of $32$ mmHg and Group $2$ has an

average systolic pressure of $120$ mmHg$.$ You want a $1$:$1$ enrollment. Assume your type $1$ error is

$5\%$ and you want a $90\%$ powered study. How many participants should you have in each group

and how many total participants.