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.t Over a period of months, an adult male patient has taken twelve blood tests for uric concentration was x= 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with o= 1.91 mg/dl. (a) Find a 95% confidence interval for the population mean concentration uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) O n is large O uniform distribution of uric acid O o is unknown O normal distribution of uric acid O o is known (c) Interpret your results in the context of this problem. O we are 5% confident that the true uric acid level for this patient falls within this interval. O The probability that this interval contains the true average uric acid level for this patient is 0.95. O we are 95% confident that the true uric acid level for this patient falls within this interval. O The probability that this interval contains the true average uric acid level for this patient is 0.05. (d) Find the sample size necessary for a 95% confidence level with maximal margin of error E= 1.16 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.) blood tests
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.t Over a period of months, an adult male patient has taken twelve blood tests for uric concentration was x= 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with o= 1.91 mg/dl. (a) Find a 95% confidence interval for the population mean concentration uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) O n is large O uniform distribution of uric acid O o is unknown O normal distribution of uric acid O o is known (c) Interpret your results in the context of this problem. O we are 5% confident that the true uric acid level for this patient falls within this interval. O The probability that this interval contains the true average uric acid level for this patient is 0.95. O we are 95% confident that the true uric acid level for this patient falls within this interval. O The probability that this interval contains the true average uric acid level for this patient is 0.05. (d) Find the sample size necessary for a 95% confidence level with maximal margin of error E= 1.16 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.) blood tests
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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!
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Transcribed Image Text:Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such
gout, leukemia, or lymphoma.t Over a period of months, an adult male patient has taken twelve blood tests for uric acid. The mean
concentration was x = 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with o = 1.91 mg/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? (Round your answers to two decimal places.)
lower limit
upper limit
margin of error
(b) What conditions are necessary for your calculations? (Select all that apply.)
O n is large
O uniform distribution of uric acid
O o is unknown
O normal distribution of uric acid
O o is known
(c) Interpret your results in the context of this problem.
O we are 5% confident that the true uric acid level for this patient falls within this interval.
O The probability that this interval contains the true average uric acid level for this patient is 0.95.
O we are 95% confident that the true uric acid level for this patient falls within this interval.
O The probability that this interval contains the true average uric acid level for this patient is 0.05.
(d) Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.16 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.)
blood tests
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