The studies aren't so broad as to look at any sentence deterring a crime. I think there certainly is some deterrence to be found in sentences, but the proponents of the research that I've seen...and I would really suggest that this committee hear from Anthony Doob and others who have done the research themselves.
But the research I have seen has shown that it's not the severity of punishment that deters; it's likelihood of apprehension. So it doesn't matter whether you get a day or five days. What deters more is, will you be caught?