Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such asgout, leukemia, or lymphoma.+ Over a period months, an adult male patient has taken five blood tests for uric acid. The meanconcentration was x = 5.34 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, withσ = 1.83 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 oferror? (Round your answers to two decimal places.)lower limitupper limitmargin of error(b) What conditions are necessary for your calculations? (Select all that apply.)Oo is unknownO uniform distribution of uric acidFσ is knownO normal distribution of uric acidOn is large(c) Interpret your results in the context of this problem.O The probability that this interval contains the true average uric acid level for this patient is 0.05.O The probability that this interval contains the true average uric acid level for this patient is 0.95.O We are 5% confident that the true uric acid level for this patient falls within this interval.We are 95% confident that the true uric acid level for this patient falls within this interval.(d) Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.06 for the mean concentrationof uric acid in this patient's blood. (Round your answer up to the nearest whole number.)blood tests

Let μ be the population mean concentration of uric acid. Given that, Sample size (n)=5Sample mean…

Answered: (a) Find a 95% confidence interval for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The laboratory wants to know the effectiveness of a new vaccine. It tests whether the proportion of people experiencing side effects after receiving the vaccine exceeds 10%. The vaccine was given to 360 people, and 47 of them reported that they experienced significant side effects. What is the approximate p-value related to the results of this test? a.0.4734 b.0.1306 c.0.9734 d.0.0266 e.0.0533
The dotplot below shows sample proportions from samples of size n = 35 from a population. (a) Give a reasonable estimate of the value of the population proportion. (b) Show how to estimate the standard error of the sample proportions. (c) Below are three possible values for a sample proportion. For each one, label it R if it is reasonably likely to occur from a sample of this size, label it U if it is unusual or might occur occasionally, or label it E if it is extremely unlikely to ever occur. (i) p hat 0.35 (ii) p hat=0.60 (iii)p hat =0.85
1. (Sec. 7.1) Given below are two confidence intervals for u = the true average alcohol content in a bottle of a particular brand of cough syrup. (7.9, 9.5) (8.0, 9.4) (a) What is the value of the sample mean alcohol content? (b) Suppose both intervals were calculated from the same set of sample data. The confidence level for one interval is 90%, and the confidence level for the other is 95%. Which interval has the 95% confidence level? How do you know? (c) Using your answer to part (b), consider the following statement: there is a 95% probability that the true (unknown) mean alcohol content µ lies in this interval. Is this statement true or false? Why?
In a recent study," 2006 randomly selected US adults (age 18 or older) were asked to give the number of people in the last six months "with whom you discussed matters that are important to you." The average number of close confidants was 2.2, with a standard deviation of 1.4.
In a memory test, the test subjects are shown 400 objects and are asked after two hours to name the objects. The historical records show that test subjects remember 80% of the objects after two hours. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of objects that are remembered by a test subject. ? (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.81), which is the probability that fewer than 81% of the objects are remembered by a test subject. Round your answer to four decimal places.
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p= 0.6 versus H1: p> 0.6 n= 200; x = 125; a = 0.05 Click here to view page 1 of the table. Click here to view page 2 of the table. Calculate the test statistic, Zo. %D (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) Choose the correct result of the hypothesis test for the P-value approach below. A. Do not reject the null hypothesis, because the P-value is greater than a. B. Reject the null hypothesis, because the P-value is greater than o. C. Reject the null hypothesis, because the P-value is less than a. D. Do not reject the null hypothesis, because the P-value is less than a.
Suppose are running a study/poll about the proportion of men over 50 who regularly have their prostate examined. You randomly sample 53 people and find that 36 of them match the condition you are testing.Suppose you are have the following null and alternative hypotheses for a test you are running:H0:p=0.71Ha:p>0.71Calculate the test statistic, rounded to 3 decimal places z=________
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The Z-score tells you the number of standard deviations away from the mean (and in what X-μ can be used to find the Z-score for a direction) a data value is. The formula: Z single member of the population. Notice X - μ tells you the signed distance the data value (X) is from the mean. When you divide that by the size of each chunk (the standard deviation) you are measuring the distance in units of the size of the standard deviations (how many standard deviations fit in the distance between the data value and the mean) - which gives you the Z-score. The formula X = μ+Z-o can be used to find the value in the population when given the Z-score (signed number of standard deviations). Notice that Z. tells you how far from the mean the data value is (since Z is the number of standard deviations and o is the size of each standard deviation the product tells the total distance). So adding the distance from the mean to the mean gives the location along the number line for the data value. A…
[b] Instruction: Solve the following problem: Records show that the performance of male college students in Mathematics in terms of final grade is 5% higher than in female college students with a corresponding standard deviations of 4.35% and 3.97%, respectively. A mathematics instructor verifies this information by having the final grades. There are 80 students, consisting of 44 females and 36 males. The following statistics are shown: Sex Average Final Grade Male 93.45% Female 87.42% Can the mathematics instructor say that the difference between the average final grades obtained by the males and females is higher than 5%? Use 5% level of significance. b. Determine the level of significance and the direction of test.
For the table below. Determine the regression coefficient (with confidence interval), and the adjustment line:
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