Scientists need to be able to detect amounts of pollutants in the environment. Measurementswere made on n32 test specimens with a known mean concentration 2.35 ug/l of lead. Itnwas found that the > x; = 79.456 and > (x; – a)² = 1.0767.i=1i=1(a) If the population distribution of lead concentration is normal, state the minimum varianceunbiased estimator of the mean. Then, compute the corresponding point estimate. Roundyour answer to 3 decimal places.(b) Find the estimated standard error of X. Round your answer to 3 decimal places.(c) Compute and interpret a 90% confidence interval for the true average lead concentration.(d) Did the interval you compute contain the true average? If it does not, is this a surprisingresult? Discuss.(e) Would you expect a wider or narrower interval if you were to compute a 95% confidenceinterval? Explain your answer without performing any computations.

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Answered: Scientists need to be able to detect…

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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A drug to reduce fever was given to a random saple of 8 patients who suffered from high fever. The tempertaure (in celsius) of each patient was measured just before the drug was administered and also measured four hours after the drug was administered. The data is presented in table below. Suppose we want to test at the 1% level of significance whether the drug is effective in lowering fever. Let μ1 denote the mean tempertaure of patients before taking the drug and let μ2 denote the mean temperature of patient four hours after taking the drug . Also let μD=μ1 - μ2. ASSUMING ALL assumption of this test are satisfied Patient 1 2 3 4 5 6 7 8 Before 39.2 38.5 39.7 40.2 38.6 40.4 39.8 39.9 After 40 37.9 39.8 37 38.9 39.1 40.2 37.8 a) what is the null and alternative hypothesis and level of signiifcance for this hypothesis test? b) What is the distribution of the test statisitic for this hypothesis test? c) What is the decision rule for this hypothesis test?
Suppose the length of a particular type of snake is normally distributed with a mean of 50 inches and a standard deviation of 2.2 inches. You took a sample of 25 such snakes and the mean length for these snakes is 53 inches. a. Test the hypothesis that this sample came from a population with an average length of 50 inches. What is your conclusion if α = .05. Show your calculations including Excel functions used to do the calculations. b. Your friend believes that you took the sample from a population of snakes whose length is below 50 inches. Is your friend correct? What is your conclusion? Use α = .05 (5+5)
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Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 40 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.30 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. 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.) ? is unknown n is large the distribution of volumes is uniform the distribution of volumes is normal ? is known (d) Find the sample size necessary for a 99% confidence level with maximal…
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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 8 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 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 maximal margin of error E=1.10 for the mean concentration of uric acid in this patient's blood.
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.20 ml/kg for the distribution of blood plasma.
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