Question

Asked Feb 25, 2019

65 views

Step 1

**Check whether sample mean square is an unbiased estimator of population mean square or not.**

*Unbiased estimator:*

Any statistic is said to be an unbiased estimator of the specified parameter, if the expected value of the sampling distribution of that statistic is equal to the parameter being estimated. In other words it can be said that, an unbiased estimator is an estimator with “0” bias.

The sample mean is an unbiased estimator of population mean.

That is, *E*(*X*-bar) = μ.

Consider the *X* = (*X*_{1},* X*_{2},…,* X*_{n}) be the sample drawn from a population of mean μ.

The sample mean be denoted by *X*-bar.

Here, the claim is that whether the sample mean square is an unbiased estimator of population mean square or not.

The sample mean square is proved to be not an unbiased estimator of population mean square from the calculation given below:

Step 2

**Obtain the bias in the estimator sample mean square:**

*Bias:*

Bias of an estimator is the difference between estimator’s expected value and the true value of the parameter that is bein...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Using the accompanying table of data, blood platelet counts of women have a bell-shaped distribution...

A: In this question, it has been given that blood platelet counts of women have bell shaped distributio...

Q: A simple random sample of 60 items from a population with o 9 resulted in a sample mean of 36. If re...

A: Confidence interval:The (1-α) % confidence interval for population mean µ is given by:

Q: Let x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,00...

A: Hi, since the problem posted by you contains multiple sub-parts, we are answering the first three su...

Q: Consider the following data on x= height of a building and y = number of stories for nine notable bu...

A: Given data of x= height of building and y = number of stories for nine notable buildings as shown be...

Q: Use one of the following key terms to answer each of the following questions. KEY TERM BANK (separa...

A: Solution:Definition of Univariate data:When the data contains only one variable, it is called univar...

Q: I asked this question before, and got an answer, but I have a question about the response that was g...

A: The formula that you shared from the text book is used for time-value-of-money calculations. Such a ...

Q: Rolling Two Dice If two dice are rolled one time, find the probability of getting these results A. ...

A: Hello there! There are more than 3 sub-parts in the question shared. According to our policies canno...

Q: The range for a set of data is estimated to be 56. a. What is the planning value for the population ...

A: a. The planning value for the standard deviation is calculated as:

Q: how do I compute six deviations (x scores are [0,1,1,1,2,7,]) from the mean (x-m), and list these si...

A: Solution:Calculation of mean:The mean of X scores is calculated as follows.