How can I prevent logging into privilege exec mode on a Cisco Switch

Hello Cisco Experts,

I have two Cisco switches (one a 3750 and one a 3650).  If I log into the 3750, I go into user mode.  I then have to issue the "enable" command and the provide the "enable" password to get to privilege mode.  This is the way I want it to be.

On the 3650, when I log in, I go directly to privilege mode.  On this switch, I don't have to provide the "enable" password to get to privilege mode.  

I want to change the configuration on the 3650 to require me to input the "enable" password to get to privilege mode.

On both switches, I have setup a local user.  I though maybe the privilege levels may be different and thus controlled what level I logged in at, but that doesn't appear to be the case.  Below are the user setups for both switches:

3750:
username nickd privilege 15 secret 5 ********quR/Ml0Jrp8O**********.

3650:
username nickd privilege 15 secret 5 ********ZlH3/sdazSAN**********.

What configuration forces users to log in at user level?

Thanks,
Nick