An Efficacy and Safety Study of Ezetimibe (MK-0653, SCH 58235) in Addition to Atorvastatin Compared to Placebo in Participants With Primary Hypercholesterolemia (MK-0653-013)

Inclusion Criteria: * If female, is not pregnant or breastfeeding, and is either not a woman of childbearing potential (WOCBP), or is a WOCBP who has used a contraceptive consistent with local regulations. * Postmenopausal women who are receiving postmenopausal hormonal therapy or raloxifene must be maintained on a stable estrogen (ERT), estrogen/progestin (HRT) or raloxifene regimen during the study period. * Primary hypercholesterolemic participants with a plasma LDL-Cholesterol ≥145 mg/dL (3.75 mmol/L) and ≤250 mg/dL (6.48 mmol/L) and plasma triglyceride ≤350 mg/dL (3.99 mmol/L) after adequate drug washout * Must be willing to observe the National Cholesterol Education Program (NCEP) Step I diet as determined by a Ratio of Ingested Saturated fat and Cholesterol to Calories (RISCC) score not greater than 24 throughout this study. Ability to complete Diet Diaries needs to be demonstrated. Exclusion Criteria: * Has a history of mental instability, drug/alcohol abuse within the past 5 years, or major psychiatric illness not adequately controlled and stable on pharmacotherapy. * Underlying disease likely to limit life span to less than 1 year. * Participants with hypercholesterolemia in whom withholding of approved lipid-lowering therapy would be inappropriate. * Have previously been randomized in any of the studies evaluating Ezetimibe (SCH 58235). * Known hypersensitivity or any contraindication to atorvastatin (LIPITOR®). * Pregnant or lactating women. * Congestive heart failure New York Heart Association (NYHA) Class III or IV. * Uncontrolled cardiac arrhythmias. * Myocardial infarction, coronary bypass surgery or angioplasty within 6 months of study entry. * Unstable or severe peripheral artery disease within 3 months of study entry. * Unstable angina pectoris. * Disorders of the hematologic, digestive or central nervous systems including cerebrovascular disease and degenerative disease that would limit study evaluation or participation. * Uncontrolled or newly diagnosed (within 1 month of study entry) diabetes mellitus. * Uncontrolled endocrine or metabolic disease known to influence serum lipids or lipoproteins. * Known impairment of renal function (plasma creatinine \>2.0 mg/dL), dysproteinemia, nephrotic syndrome or other renal disease. * Active or chronic hepatobiliary or hepatic disease. * Participants who are known to be Human Immunodeficiency Virus (HIV) positive. * Participants with known coagulopathy. * Lipid-altering agents, other than study drugs for the whole duration of the study. * Oral corticosteroids. * Cardiovascular drugs such as: beta blockers, calcium channel blockers, ACE inhibitors, nitrates or α-adrenergic blockers or thiazide diuretics will be allowed, provided the dose remains constant for the duration of the study and the participant has received a stable dose for at least 8 weeks before the initial qualifying LDL-C level is drawn. Aspirin up to 325 mg/day is permitted. In addition, aspirin is allowed as a as needed (prn) concomitant medication. * Treatment with psyllium or other fiber-based laxatives unless treated with a stable regimen for at least 4 weeks before initial qualifying lipid determination. Dose must remain constant throughout the study period. * Treatment with troglitazone (Rezulin®) unless treated with a stable regimen for at least 6 weeks before initial qualifying lipid determination. Dose must remain constant throughout the study period. * Treatment with cyclosporine. * Use of any investigational drugs within 30 days of study entry. * Treatment with agents with known drug interaction with atorvastatin including antifungal azoles (itraconazole and ketoconazole), macrolide antibiotics (erythromycin and clarithromycin), and nefazodone. In addition, treatment with other agents that may interfere with or induce the CYP3A4 isoenzyme of the cytochrome P450 system should be avoided.