A new measurement of the ratio of $W$ and $Z$ production  cross sections at CDF

We present a new method for measuring the ratio, $R$, 
of the cross sections for $W$ and $Z$ production in $p\bar{p}$
collisions at the Fermilab Tevatron.  A combined sample of $W$ 
and $Z$ boson candidates is selected by requiring at least one 
charged lepton and low net hadronic activity.  The missing 
transverse energy spectrum is used to infer the relative rate 
of $W$ and $Z$ production.  We obtain a preliminary measurement 
of~$R$ using data collected with the CDF II detector corresponding 
to an integrated luminosity of approximately $1$ fb$^{-1}$ and 
extract an indirect value for the width of the $W$ boson.