Probability and Statistics for Engineering and the Sciences STAT 400 - University Of Maryland
Probability and Statistics for Engineering and the Sciences STAT 400 - University Of Maryland
9th Edition
ISBN: 9781305764477
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 6.1, Problem 6E

Urinary angiotensinogen (AGT) level is one quantitative indicator of kidney function. The article “Urinary Angiotensinogen as a Potential Biomarker of Chronic Kidney Diseases” (J. of the Amer. Society of Hypertension, 2008: 349-354) describes a study in which urinary AGT level (μg) 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):

Chapter 6.1, Problem 6E, Urinary angiotensinogen (AGT) level is one quantitative indicator of kidney function. The 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).

  1. a. Estimate the parameters of the distribution. [Hint. Remember that X has a lognormal distribution with parameters μ and σ2 if ln(X) is normally distributed with mean μ and variance σ2.]
  2. b. Use the estimates of part (a) to calculate an estimate of the expected value of AGT level. [Hint: What is E(X)?]
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Chapter 6 Solutions

Probability and Statistics for Engineering and the Sciences STAT 400 - University Of Maryland

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