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.

Answered: Image /qna-images/answer/5dc08812-5e98-4ab2-bdfb-93c7e7c5c217.jpg

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

See similar textbooks

Similar questions

Suppose X1 is normally distributed with a mean of 3 and standard deviation of 0.3. Suppose X2 is normally distributed with a mean of 5 and a standard deviation of 0.7. Also suppose X1 and X2 are independent. Consider the variable Y = 4X1– 2X2. The distribution of Y has mean and standard deviation 4.
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)
I am having difficulty with The Analysis of Biological Data chapter 10 question 15AP, I need to check my solutions but there are none posted for me to review. If I could compare answers that would be great.
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…
Consider a population that has a score of X = 15 associated with a z-score of +1.50. What does this z-score indicate about the location of X = 15? A score of X = 15 is 1.5 mean units below the standard deviation. A score of X = 15 is 1.5 mean units above the standard deviation. A score of X = 15 is 1.5 standard deviations above the mean. A score of X = 15 is 1.5 standard deviations below the mean.
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.
The amount of nicotine in a cigarette produced by a tobacco company is a random variable with mean 2.2 mg and standard deviation 0.3 mg. Taking 100 randomly chosen cigarettes, let X; denote the nicotine content of the ith cigarette for i = 1,..., 100, and let X = 100 Ei=1 X; be the sample mean of the nicotine content. 100 a. What is the variance of X? Var(X) = Approximate the probability that X is higher than 2.25 in terms of the standard normal random variable. (The answer is given in terms of 2.25, standardized by mean and standard deviation of X.) P(X> 2.25) = P(Z >
Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately ?2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 41 women in rural Quebec gave a sample variance s2 = 2.9. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom?
A survey collected data from a random sample of 121 people living in Jade city. The sample average of the distance people travel to reach their workplaces (Y) is 23.28 km and the standard deviation (sy) is 7.48 km. The standard error of the sample average of the distance people travel to reach their workplaces is 68 km. (Round your answer to two decimal places.) Let μy denote the mean of the distance all the people in Jade city travel to reach their workplaces. The p-value of the test Ho: #y #22 km vs. H₁: Hy #22 km is (Round your answer to two decimal places.)
Consider the variable X whose mean and variance are given respectively by μx = 28.4 and Var(X) =8.6. Next consider the variable Y such that Y = 18.6 X-52 What is the mean of variable Y?

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS