A hospital has a random sample of cholesterol measurements for 100 men the mean cholesterol was 220 with a standard deviation of 10. These patients were seen for issues other than cholesterol. They were not taking any medications for high cholesterol. The hospital wants to know if the mean cholesterol for patients is different from a goal level of 200 mg. Conduct a hypothesis test to answer this question.

State your null and alternative hypothesis, what test you are using, p-value, decision and conclusions.