Kavya,, try this:
create procedure USP_InsertStatusText(@Statustext char(150),@RecievedBy varchar(50),@Deliverydate datetime)
as
BEGIN
declare @date datetime
set @Deliverydate= convert(varchar,@Deliverydate,1) --as [mm/dd/yy] from TB_StatusEntry
insert into TB_StatusText values(@Statustext,@RecievedBy,@Deliverydate)
END
But i tell, you, please store the date field in DateTime and NOT in some other formats.