Whoa, hold on. No one said this was normal. That's why we were asking the questions.
Here's how it works. Either you are exempt or non-exempt under the law. If you are a manager it is VERY likely that you qualify as exempt, so we'll assume that is the case.
As an exempt employee, you MUST be paid your full salary for every week that you work AT ALL, with the following exceptions:
1.) If it is the first or last week of employment, they only need to pay you for the days you actually work.
2.) If you are on FMLA, they only need to pay you for the TIME you actually work. (In this case, and in this case ONLY, they can dock your salary in partial day increments.)
3.) If you take a full day off, for personal reasons, and there is no vacation or personal time they can apply to it (or if the time was not approved), they can dock you for the day you did not work.
4.) If the company offers a bona fide policy of sick days, with a reasonable number of days (not defined in the law but generally interpreted as at least 5); you have used up all the time and then call in sick again, they can dock you for the day you are out sick, but ONLY after you have exhausted all the sick time available to you.
5.) If you have been suspended for a major safety violation (NO other reason is acceptable) it can be an unpaid suspension.
They may NOT legally dock your pay for partial days absences UNLESS you are on intermittant FMLA. Barring the FMLA exception, if you work at ALL during the day, they have to pay you for the full day. Even if you come in, work ten minutes, and go home sick, they have to pay you for the whole day. They can dock your bank of sick time (if such a thing exists) but in terms of dollars you MUST receive the entire day's pay one way or the other. (They can, however, discipline you in other ways if they feel you are abusing the rules.)
However, the flip side to this is that you have no legal entitlement to overtime whatsoever. There are NO conditions, as an exempt employee, where they are REQUIRED to pay you overtime. They may do so if they choose, but they have no legal obligation whatsoever to do so.
I wouldn't worry too much about the hours showing on the paycheck. I'd be willing to bet money that this is a default on the payroll software and has no relationship to anything the company is doing. However, if you are being docked DOLLARS (they can legally dock time) for partial days absences, you can file a complaint with the Ohio Department of Labor.