SOLUTION: Blood phosphorus level in dialysis patients. Patients with chronic kidney failure may be treated by dialysis, in which a machine removes toxic wastes from the blood, a function nor

Question 1192839: Blood phosphorus level in dialysis patients. Patients with chronic kidney failure may be treated by dialysis, in which a machine removes toxic wastes from the blood, a function normally performed by the kidneys. Kidney failure and dialysis can cause other changes, such as retention of phosphorus, that must be corrected by changes in diet. A study of the nutrition of dialysis patients measured the level of phosphorus in the blood of several patients on six occasions. Here are the data for one patient (in milligrams of phosphorus per deciliter of blood):32
5.4 5.2 4.5 4.9 5.7 6.3
The measurements are separated in time and can be considered an SRS of the patient’s blood phosphorus level. Assume that this level varies Normally with σ=0.9 mg/dl.
A)Give a 95% confidence interval for the mean blood phosphorus level.
B)The normal range of phosphorus in the blood is considered to be 2.6 to 4.8 mg/dl. Is there strong evidence that this patient has a mean phosphorus level that exceeds 4.8?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
I am not sure what the "32" means so will ignore it.
Mean is 5.33 and s is 0.63
95% t-half interval for a sample of 6 has t (0..975, df=5)=t-table value is2.571*s/sqrt(n)
=2.571*0.63/sqrt(6)
=0.66
the interval is (4.67, 5.99) units mg%, Since 4.8 is contained in the interval, there is insufficient evidence to state the patient is hyperphosphatemic at the 0.05 level.

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