Question

Estimation of parameters of populations is accomplished by selecting a random sample from that population, and...

Estimation of parameters of populations is accomplished by selecting a random sample from that population, and choosing and computing a statistic that is the best estimator of the parameter. True or False ?

Homework Answers

Answer #1

To estimate parameters of a population we select a random sample of size n from that population and then we compute a function of sample values called statistic to estimate the parameter. Since corresponding to any parameters there can be many rival estimators, some criteria is chosen to select the best one. Depending on the criteria, like minimum mean square error among unbiased estimators etc, we give the best estimator of the parameters .

Hence the given statement is True.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let Xl, n be a random sample from a gamma distribution with parameters a = 2...
Let Xl, n be a random sample from a gamma distribution with parameters a = 2 and p = 20.      a)         Find an estimator , using the method of maximum likelihood b) Is the estimator obtained in part a) is unbiased and consistent estimator for the parameter 0? c) Using the factorization theorem, show that the estimator found in part a) is a sufficient estimator of 0.
The Central Limit Theorem indicates that in selecting random samples from a population, the sampling distribution...
The Central Limit Theorem indicates that in selecting random samples from a population, the sampling distribution of the the sample mean x-bar can be approximated by a normal distribution as the sample size becomes large. Select one: True False
Researchers A and B each have a random sample from the same population, which has mean...
Researchers A and B each have a random sample from the same population, which has mean and a finite variance. Here are their data: Researcher A        Researcher B Sample sizes                      nA   nB Sample means         Consider the following claims: Claim 1. If nA > nB, the estimator  puts too much weight on researcher A’s observations to be efficient. Claim 2. If nA ≠≠ nB, the estimator  is biased. Claim 3. If nA > nB, we can make the estimator  more efficient by...
A random sample X1, X2, . . . , Xn is drawn from a population with...
A random sample X1, X2, . . . , Xn is drawn from a population with pdf. f(x; β) = (3x^2)/(β^3) , 0 ≤ x ≤ β 0, otherwise (a) [6] Find the pdf of Yn, the nth order statistic of the sample. (b) [4] Find E[Yn]. (c) [4] Find Var[Yn]. (d)[3] Find the mean squared error of Yn when Yn is used as a point estimator for β (e) [2] Find an unbiased estimator for β.
Let X1, X2,..., Xn be a random sample from a population with probability density function f(x)...
Let X1, X2,..., Xn be a random sample from a population with probability density function f(x) = theta(1-x)^(theta-1), where 0<x<1, where theta is a positive unknown parameter a) Find the method of moments estimator of theta b) Find the maximum likelihood estimator of theta c) Show that the log likelihood function is maximized at theta(hat)
1. Assumptions underlying the use of t-statistic in sample-based estimation are that the population is normally...
1. Assumptions underlying the use of t-statistic in sample-based estimation are that the population is normally distributed and population standard deviation is unknown. A. True B. False 2. The null hypothesis is rejected if the p-value (i.e., the probability of getting a test statistic at least as extreme as the observed value) is greater than the significance level. A. True B. False 3. When using the p-value to test hypotheses, the null hypothesis would be rejected if __________. A. the...
Consider two populations. A random sample of 28 observations from the first population revealed a sample...
Consider two populations. A random sample of 28 observations from the first population revealed a sample mean of 40 and a sample standard deviation of 12. A random sample of 32 observations from the second population revealed a sample mean of 35 and a sample standard deviation of 14. (a) Using a .05 level of significance, test the hypotheses H0 : μ1 − μ2 = 0 and H1 : μ1 − μ2 ≠ 0 respectively. Explain your conclusions. (b) What...
A random sample is taken from a binomial population with an unknown parameter θ. Find the...
A random sample is taken from a binomial population with an unknown parameter θ. Find the least sample size such that the sample proportion ˆθ and the true proportion θ differ by at most 0.01 with confidence 95%.
Consider two populations. A random sample of 28 observations from the first population revealed a sample...
Consider two populations. A random sample of 28 observations from the first population revealed a sample mean of 40 and a sample standard deviation of 12. A random sample of 32 observations from the second population revealed a sample mean of 35 and a sample standard deviation of 14 (a) Using a .05 level of significance, test the hypotheses Ho : U1 - U2 = 0 and H1 : U1 - U2 =/ (not equal to) 0 respectively. Explain your...
Let X1, ..., Xn be a sample from an exponential population with parameter λ. (a) Find...
Let X1, ..., Xn be a sample from an exponential population with parameter λ. (a) Find the maximum likelihood estimator for λ. (NOT PI FUNCTION) (b) Is the estimator unbiased? (c) Is the estimator consistent?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT