Question: Let X 1 , X 2 , X 3 , . . . , X n denote a random sample from a normal distribution with

Let X1,X2,X3,...,Xn denote a random sample from a normal distribution with mean = zero and variance

a). Show that i=1n nXi2 is an unbiased estimator of

b). Show that the estimator n=1nnXi2 has variance n22

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Q6. Suppose that X =61 + 52, where 1 N N(6,1), 52 ~ N()\\6', A2), and 1 and 52 are in- dependent. Here, A 2 1 is a given constant, and 6 is a unknown parameter. (iv) Let X 1, X 2, - - - ,Xn be an...

Q:

Please help with this question. Please provide all steps and calculations. Please don't use answers from other websites, I looked at them and didn't understand them. Thank you Problem 7 Let X 1, X 2,...

Q:

Recall: k) In addition to many other wonderful services it provides, CourseCheggHero benets nancially from its customers' inability and/ or unwillingness to do their homework. Suppose that the time...

Q:

1. Let q; > 0 be a population parameter, and let X l , X 2, , X n be a random sample from a distribution with probability density function 2 105311) : 2 9K A, , x> 0. zero otherwise. m Recall: W = X2...

Q:

pls complete each solutions, the direction is in the picture. thank you so much! i need this til 12:30pm today :> Part 3 A. Direction: Given the following sets of data,find the measures of central...

Q:

Let X 1 , X 2 , . . . independent random variables with Bernoulli ( 1 3 ) distribution. Let S n := n X i =1 X i . Find a, b 2 R so that Y = aS 20 + b has expected value 0 and variance 1

Q:

10.1.3 Let X 1 , X 2 , X 3 be sample means in three independent samples of sizes n1, n2, " 3 , respectively. Each sample was obtained from the N(p, 02) distribution. Find the distribution of V1 =...

Q:

Math215 Statistical Concepts Name: ________________________ Generating a Sampling Distribution of Sample Means In this assignment we'll illustrate the idea of a sampling distribution in the case of a...

Q:

Math215 Statistical Concepts Name: ________________________ Generating a Sampling Distribution of Sample Means In this assignment we'll illustrate the idea of a sampling distribution in the case of a...

Q:

kindly answer shortly + 100% 1. (a) Let X = (X1, Am.... Xa) be a random sample from a normal distribution with mean fi and variance of 1. If pa is known and o' is unknown, show that E(X, - p) is a...

Q:

What do you think Chris Perkett means when she mentions that I wasn't ready to hire employees because there's so much involved with doing that? As a small business owner, what do you think is all...

Q:

Nondiscretionary bonuses are part of the determination of the regular rate of pay. true or false.

Q:

Diamond & Turf Inc. is considering an investment in one of two machines. The sewing machine will increase productivity from sewing 150 baseballs per hour to sewing 290 per hour. The contribution...