The level of different substances in the blood of kidney dialysis patients is of concern. A researcher did blood tests on dialysis patient on six consecutive clinic visits. One variable measured was level f phosphate in the blood. The data on this one patient, in milligrams of phosphate per deciliter (mg/dl) of blood, are:
5.6 5.1 4.6 4.8 5.7 6.4
a. The normal range of values for blood phosphate level is 2.6 to 4.8 mg/dl. Describe your conclusions from previous homework problem: Is there evidence that the patient's mean level in fact falls above 4.8?
b. Given your conclusion, are you at risk of making Type I error or a Type II error? Give your answer in the context of the problem.
c. What sample size would you suggest, if it is significant to detect and treat the elevated average phosphate level of 5.5?
d. What assumptions did you've to make?
e. Report a one-sided 95% conffidence interval for the mean blood phosphate level.