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. Over a period of months, an adult male patient has taken eight blood tests for uric acid. The mean concentration was x̅= 5.32mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal with σ = 1.80mg/dl. a)Find a 90% confidence interval for the population mean concentration of uric acid in this patient’s blood. What is the margin of error? b)Find the sample size necessary for a 90% confidence level with maximal margin of error E = 1.50for the mean concentration of uric acid in this patient’s blood

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. Over a period of months, an adult male patient has taken eight blood tests for uric acid. The mean concentration was x̅= 5.32mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal with σ = 1.80mg/dl. a)Find a 90% confidence interval for the population mean concentration of uric acid in this patient’s blood. What is the margin of error? b)Find the sample size necessary for a 90% confidence level with maximal margin of error E = 1.50for the mean concentration of uric acid in this patient’s blood

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2AGP

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Concept explainers

Continuous Probability Distributions

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 count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

a)Find a 90% confidence interval for the population mean concentration of uric acid in this patient’s blood. What is the margin of error?

b)Find the sample size necessary for a 90% confidence level with maximal margin of error E = 1.50for the mean concentration of uric acid in this patient’s blood.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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