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

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 4GP

See similar textbooks

Related questions

Q: Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the…

A: The 68-95-99.7% Rule:For a normal distribution, the empirical rule (68-95-99.7% Rule) state that…

Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms).…

A: (a) Use TI-83 plus Calculator to obtain the values of mean and the standard deviation. The…

Q: Over the past several months, an adult patient has been treated for tetany (sever muscle spasms).…

A: The given question requires accurate answers rounded to two decimals, Hence I will use excel to…

Q: What can be concluded at the the αα = 0.10 level of significance level of significance? For this…

Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms).…

A: Formulae :

Q: Do students perform worse when they take an exam alone than when they take an exam in a classroom…

A: Given information: Number of students n=8 Significance level α=0.01 The given results are as…

Q: Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the…

A: 68-95-99.7% rule:In normal distribution, the empirical rule of 68-95-99.7% rule states that 68% of…

Q: ver the past several months, an adult patient has been treated for tetany (severe muscle spasms).…

Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms).…

A: a) Consider that random variable x denotes the calcium level.

Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms).…

A: In this question, we have the patients calcium reading, using that we have to find the Mean,…

Q: over the past several months, an adult patient has been treated for tetany (severe muscle spasms).…

A: This question requires accurate results, Hence I will use excel to solve this question.…

Q: Use a calculator with mean and sample standard deviation keys to find the sample mean reading x and…

A: Given data : 9.90 9.40 10.50 8.90 9.40 9.80 10.00 9.90 11.20 12.10

Q: One state lottery has 1,100 prizes of $1; 140 prizes of $10; 25 prizes of $60; 5 prizes of $290; 2…

A: Given total lottery tickets sold 21,000 per $1 each.Number of $1 prizes = 1100Number of $10 prizes =…

Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms).…

A: Given data is9.3,8.8,10.1,8.5,9.4,9.8,10.0,9.9,11.2,12.1sample size(n)=10

Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms).…

A: a) Consider that random variable x denotes the calcium level.

Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms).…

A: a) Mean, standard deviation and variance for sample: The procedure to obtain mean, standard…

Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms).…

A: Given,sample size(n)=10sample mean(x)=9.95standard deviation(S)=1.08α=1-0.999=0.001α2=0.0005degrees…

Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms).…

Q: Do students perform better when they take an exam alone than when they take an exam in a classroom…

Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms).…

A: Number of samples (n) = 10 9.1 -0.79 0.6241 8.4 -1.49 2.2201 10.3 0.41 0.1681 8.7…

Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms).…

A: Given data is,9.9 , 9.2 , 10.3 , 8.9 , 9.4 , 9.8 , 10.0 , 9.9 , 11.2 , 12.1sample size(n)=10

Q: Find a z-score such that 56% of the area under the standard normal curve is below that score. Z=…

A: We want to find a z-score such that 56% of the area under the standard normal curve is below that…

Q: Assume a Normal distribution. What can be concluded at the the αα = 0.05 level of significance…

A: 1. In this study, eight students were given two tests of equal difficulty, in which took one test in…

Q: Total plasma volume is important in determining the required plasma component in blood replacement…

A: (b) Identify the conditions that are necessary for the calculations. The correct option is…

Q: find the percentile rank of the pathologic tumor size 2cm tumor size f rel.f cf 4 3 0.25 12 3…

A: The objective of the question is to find the percentile rank of the pathologic tumor size 2cm. The…

Q: Do students perform better when they take an exam alone than when they take an exam in a classroom…

A: Eight students were given two tests of equal difficulty. They took one test in a solitary room and…

Q: Do students perform better when they take an exam alone than when they take an exam in a classroom…

A: Excel Procedure: Enter Alone and Classroom in Excel sheet>Data>Data Analysis> t-Test:…

Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms).…

A: Here, the observations are 9.1 9.2 10.4 8.9 9.5 9.5 10.8 10.3 11.5 12.0. Hence, the sample mean and…

Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms).…

A: (a) Excel formula =average(array)=9.99 S.D. for a sample is the positive square-root of sample…

Q: Look at the normal curve below, and find μ, +o, and a. μ== μ+0= J= 6 8 10 12

A: The normal curve is symmetric in nature.

Q: 9.8 8.9 10.4 9.2 9.2 9.9 10.7 5= USE SALT (a) Find the sample mean reading x and the sample standard…

A: Data 9.8 8.9 10.4 9.2 9.2 9.9 10.7 10.2 11.6 11.5

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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

bit a

VIEW

bit b

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Continuous Probability Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

production of urc 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 the period of thirteen months The mean concentrations was X = 5.33 mg/dI. The distribution of uric acid in healthy adult males can be assumed to be normal, with a =1.75 mg/di.
A plot of the residuals and frequencies is commonly called a Histogram
Retinitis pigmentosa (RP) is a hereditary ocular diseasein which patches of pigment appear on the retina, potentially resulting in substantial vision loss and in somecases complete blindness. An important issue is how fastthe subjects decline. Visual field is an important measureof area of vision, which is measured in degree2. A visualfield area for a normal person is around 11,000 degree2.The longitudinal data in Table 11.29 were provided by anindividual patient.Table 11.29 Longitudinal visual field data forone RP patientTime Visual field area lnVisit (yr) (degree2) (visual field area)1 0 3059 8.032 1 3053 8.023 2 1418 7.264 3 1692 7.435 4 1978 7.596 5 1567 7.367 6 1919 7.568 7 1998 7.609 11 1648 7.4110 13 1721 7.4511 15 1264 7.14mean 6.09 1938 7.532sd 4.97 597 0.280Suppose the rate of change of ln (visual field) is a linearfunction of follow-up time.11.103 Write down a linear regression model that summarizes this relationship.
Retinitis pigmentosa (RP) is a hereditary ocular diseasein which patches of pigment appear on the retina, potentially resulting in substantial vision loss and in somecases complete blindness. An important issue is how fastthe subjects decline. Visual field is an important measureof area of vision, which is measured in degree2. A visualfield area for a normal person is around 11,000 degree2.The longitudinal data in Table 11.29 were provided by anindividual patient.Table 11.29 Longitudinal visual field data forone RP patientTime Visual field area lnVisit (yr) (degree2) (visual field area)1 0 3059 8.032 1 3053 8.023 2 1418 7.264 3 1692 7.435 4 1978 7.596 5 1567 7.367 6 1919 7.568 7 1998 7.609 11 1648 7.4110 13 1721 7.4511 15 1264 7.14mean 6.09 1938 7.532sd 4.97 597 0.280Suppose the rate of change of ln (visual field) is a linearfunction of follow-up time.11.103 Write down a linear regression model that summarizes this relationship.11.104 Fit the regression line using the method of…
Dr. Palmer found a small treatment effect. What can she do in improve her changes of finding a statistically significant result?
Women are recommended to consume 1770 calories per day. You suspect that the average calorie intake is smaller for women at your college. The data for the 16 women who participated in the study is shown below: 1796, 1544, 1805, 1802, 1827, 1574, 1856, 1565, 1864, 1827, 1648, 1940, 1762, 1657, 1799, 1781 Assuming that the distribution is normal, what can be concluded at the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean calorie intake for women at your college is not significantly less than 1770 at αα = 0.05, so there is insufficient evidence to conclude that the population mean…
Find the z value such that 97% of the standard normal curve lies between −z and z.
The table to the right shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very good stain removal, good stain removal, and fair stain removal. At a = 0.025, can you conclude that the mean costs per ounce are different? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the Very good Good Fair stain stain stain removal removal removal 0.35 0.33 0.46 same variances. 0.49 2.79 1.34 0.36 0.46 0.60 1.44 0.75 0.47 0.58 0.33 1.34 (a) Identify the claim and state H, and Ha. Choose the correct answer below. O A. Ho: At least one mean is different from the others. (claim) B. Ho: H1 = H2 = H3 Ha: H1 = H2 = H3 = H4 = H5 = H6 Ha: At least one mean is different from the others. (claim) O C. Ho: H1 = H2 = H3 = H4 = H5 = H6 D. Ho: H1 = H2 = H3 (claim) Ha: At least one mean is different from the others. Ha: At least two…
Studies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered? The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes: Mean call-to-shock time, x Survival rate, y The data were used to compute the equation of the least-squares line, which was ŷ = 100.90 9.21x. A newspaper article reported that "every minute spent waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10 percent." Is this statement consistent with the given least-squares line? Explain. O Since the slope of the least-squares line…
Studies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered? The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes: Mean call-to-shock time, x 2 7 9 12 Survival rate, y 90 46 30 5 3 The data were used to compute the equation of the least-squares line, which was 3D 101.26 — 9.23х. A newspaper article reported that "every minute spent waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10 percent." Is this statement consistent with the given least-squares line? Explain. Since the slope of…
Studies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered? The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes. Mean call-to-shock time, x 2 6 7 9 12 Survival rate, y 92 44 31 4 3 n USE SALT (a) Construct a scatterplot for these data. y y y y 100 100 12 12• 10 80 10 80 8 8 60 60 6 40 40 4 4 20 20 20 40 60 80 100 6. 8 10 12 20 40 60 80 100 4 8 10 12 How would you describe the relationship between mean call-to-shock time and survival rate? O There is a strong positive relationship. The relationship is close to being…
Studies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered?The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes: Mean call-to-shock time, x 2 6 7 9 12 Survival rate, y 90 46 31 4 3 (a) Construct a scatterplot for these data. A scatterplot has 5 points. The horizontal axis is labeled "x" and has values from 0 to 13. The vertical axis is labeled "y" and has values from 0 to 100. 4 points are plotted in an almost straight line from approximately (2, 90) down and right to approximately (9, 5). 1 point is…