8th Edition

ISBN: 9781337558075

Author: Charles Henry Brase, Corrinne Pellillo Brase

Publisher: Cengage Learning

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Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could co…

Normal Distribution

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Textbook Question

Chapter 8.1, Problem 16P

Diagnostic Tests: Uric Acid Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma (Reference: Manual of Laboratory and Diagnostic Tests by F. Fischbach). Over a period of months, an adult male patient has taken eight blood tests for uric acid. The mean concentration was x ¯ = 5 .35mg/dl . The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1 .85mg/dl (a)Find a 95% confidence interval for the population mean concentration of uric acid in this patient’s blood. What is the margin of error?

(b) What conditions are necessary for your calculations?

(c)Interpret your results in the context of this problem.

(d)Sample Size Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.10 for the mean concentration of uric acid in this patient’s blood.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 8 Solutions

Understanding Basic Statistics

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Solution Summary: The author explains the 95% confidence interval for the population mean concentration of uric acid in this patient's blood and the margin of error.

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Chapter 8 Solutions