A study of the nutrition of dialysis patients measured the level of phosphorus in the blood of a patient on 30 occasions. The mean phosphorus level for this patient was 5.2 mg/dl and a population standard deviation for all dialysis patients of 1.0 mg/dl. Is there evidence that this patients true mean phosphorus level significantly exceeds 4.8 mg/dl, the upper end of the normal range?

For the story above, state the hypotheses, calculate the test statistic and P-value (using the Normal table), and state your conclusion in terms of the story.