$4-$ A traffic engineer, wishing to determine a representative value of the ADT on $250$ highway links having similar volume characteristics, conducted a preliminary study from which the following estimates were made: Mean volume $=45,750ve\frac{h}{?}$ day, Standard deviation $=3750ve\frac{h}{?}$ day. Determine the minimum number of stations for which the engineer should obtain $24-$h volume counts for a $95-5$ precision level.

$5-$ The following control counts were made at an urban count station to develop daily and monthly expansion factors.

$($a$)$ Calibrate these factors given the data shown below.

$\backslash$table$[[\backslash$table$[[$First Week$],[$in Month of:$]],$Day of Week$],[$Mon$,$Tue,Wed,Thu$],[$January$,2,000,2,200,2,250,2,000],[$April$,1,900,2,080,2,110,1,890],[$July$,1,700,1,850,1,900,1,710],[$October$,2,100,2,270,2,300,2,050],[\backslash$table$[[$First Week$],[$in Month of:$]],$Day of Week$],[$Fri$,,,$Sun$],[$January$,1,800,,,950],[$April$,1,750,,,890],[$July$,1,580,,,800],[$October$,1,800,,,1,010]]$

$\backslash$table$[[$Standard Monthly Volumes$],[\backslash$table$[[$Third Week$],[$in Month of:$]],\backslash$table$[[$Average $24-$Hour$],[$Count $($Vehs$)]]],[$January$,2,250],[$February$,2,200],[$March$,2,000],[$April$,2,100],[$May$,1,950],[$June$,1,850],[$July$,1,800],[$August$,1,700],[$September$,2,000],[$October$,2,100],[$November$,2,150],[$December$,2,300]]$

$($b$)$ If a count was collected on a coverage station during $7$:$00$ to $8^{\text{:}00}$ am on Monday in August, what is the estimated AADT?