1. A population consist of 1, 2, 3 and a sample size of 2 will be taken without replacement.Population MeanPopulation VariancePopulation StandardDeviationSampleP(X)X. P(X) x-H (X-)P). (X- )| =Sample Mean of sampling Sample Variance of sampling Sample Standard Deviationof sampling distributiondistributiondistribution

Answered: Image /qna-images/answer/87e7e41b-da93-4444-a530-0079d44082ab.jpg

Answered: LA population consist of 1, 2, 3 and a…

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

1.Random sample of size 36 were drawn with replacement from a popolation with mean and variance 0.9, and in each case the sample mean was calculated. Find the variance of X. 2.Random sample of size 9 were drawn with replacement from a popolation with mean and variance 4.2, and in each case the sample mean was calculated. Find the variance of X. 3. Random samples of size 10 are drawn with replacement from a population with mean 4 and variance 6. Let X be the sample mean. Find E(X) and Variance(X).
A certain population has a mean of 200 and standard deviation of 50. If all random samples of size 100 are drawn from this population, the resulting distribution of X will have a mean of _________.
Suppose X and Y are independent random variables with the same mean µ but possibly different variances σx2 and σy2. Imagine that X and Y are the averages of independent samples of size n1 and n2, respectively, taken from populations with the same mean µ and the same variance σ2. Apply below to identify the α that minimizes and the minimum value. Be sure to simplify both the new estimator and the minimum variance. Interpret the result. The variance of αX+(1-α)Y, which also has mean µ, is minimized with α=σy2/(σX2+σy2).
Two different plasma etchers in a semiconductor factory have the same mean etch rate μ. However, machine 1 is newer than machine 2 and consequently has smaller variability in etch rate. We know that the variance of etch rate for machine 1 is σ12, and for machine 2, it is σ2 = σ 2 12 a . Suppose that we have n1 independent observations on etch rate from machine 1 and n2independent observations on etch rate from machine 2.(a) Show that ˆμ = +− α α X X ( ) 1 2 1 is an unbiased estimator of μ for any value of α between zero and one.(b) Find the standard error of the point estimate of μ in part (a).(c) What value of α would minimize the standard error of the point estimate of μ?(d) Suppose that a = 4 and n n 1 2 = 2 . What value of α would you select to minimize the standard error of the point estimate of μ? How “bad” would it be to arbitrarily choose α= . 0 5 in this case?
7. Let Xi denote a binary variable, and consider the regression Yi = β0 + β1Xi + ui. Let Y ̄0 denote the sample mean for observations with X = 0, and Y ̄1 denote the sample mean for observations with X = 1. Show that βˆ0 = Y ̄0, βˆ0 + βˆ1 = Y ̄1, and βˆ1 = Y ̄1 − Y ̄0.
A variable of two populations has a mean of 20and a standard deviation of 18 for one of the populations and a mean of 20 and a standard deviation of 40 for the other population. a. For independent samples of size 9 and 25, respectively, find the mean and standard deviation of x1−x2. (Assume that the sampling is done with replacement or that the population is large enough.) The mean of x1−x2 is 0 (Type an integer or a decimal. Do not round.) The standard deviation of x1−x2 is ___________. (Round to four decimal places as needed.)
A variable of two populations has a mean of 20and a standard deviation of 18 for one of the populations and a mean of 20 and a standard deviation of 40 for the other population. a. For independent samples of size 9 and 25, respectively, find the mean and standard deviation of x1−x2. (Assume that the sampling is done with replacement or that the population is large enough.) The mean of x1−x2 is _______________. (Type an integer or a decimal. Do not round.)
Assume that the population consists of only these eleven data points for y and z. Construct one sample for y and one another sample for z by using 5 data points which gives the maximum variance.If you still have some time, you can add your reviews about the contribution of Bessel’s Correction to the variance. Why do we use such correction and can the variance of any possible sample be larger than the variance of the population?
Let X1,...,X25 be a random sample from a normal distribution with unknown mean μμ and known variance σ2=100. A sample x1,…,x25 is collected and the sample mean from this sample is calculated to be x¯=4. Based on this sample, a 95% confidence interval for μμ is?
Suppose a researcher is interested in the relationship between periodontal disease and a number of negative health outcomes. One outcome of particular interest to the researcher is hypertension (assume defined as systolic blood pressure above 140 mmHG). Suppose a team gathers a SRS of 348 participants with periodontal disease, and finds the sample average systolic blood pressure to be 157 mmHG. A) Using an assumed σ=16 mmHG, conduct a 1 sample Z test to determine if there is a relationship between periodontal disease and hypertension in this population. (Use α=0.05)
Suppose that a very large number of random samples of size 25 are selected from a population with mean u and standard deviation o. If the mean of all the X's found is 300 and the standard deviation of these X's is 20, what are the estimates of the true mean and the true standard deviation or of the distribution from which the samples were drawn
Suppose we wish to estimate the average height µ of Saguaro cacti in the Sonoran desert by observing a random sample of100 such cacti. Suppose furthermore that the height of a Saguaro cactus is a random variable that is Uniformly distributedon interval [10, 30] with PDF f(x) = 1/20. Propose an estimator to make an educated guess about µ and draw its sampling distribution.

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