Urinary angiotensinogen (AGT) level is one
Chapter 6, Problem 6(choose chapter or problem)
Urinary angiotensinogen (AGT) level is one quantitative indicator of kidney function. The article UrinaryAngiotensinogen as a Potential Biomarker of ChronicKidney Diseases (J. of the Amer. Society ofHypertension, 2008: 349-354) describes a study in which urinary AGT level (\(\mu\)g) was determined for a sample of adults with chronic kidney disease. Here is representative data (consistent with summary quantities and descriptions in the cited article):
An appropriate probability plot supports the use of the lognormal distribution (see Section 4.5) as a reasonable model for urinary AGT level (this is what the investigators did).
a. Estimate the parameters of the distribution. [Hint:Rem ember that X has a lognormal distribution with parameters \(\mu\) and \(\sigma^{2}\) if ln(X) is normally distributed with mean \(\mu\) and variance \(\sigma^{2}\.]
b. Use the estimates of part (a) to calculate an estimate of the expected value of AGT level. [Hint: What isE(X)?]
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