Suppose that we have a sample of N independent observations from a certain population. We want to

Question:

Suppose that we have a sample of N independent observations from a certain population. We want to estimate the population mean, p. Under what con¬

ditions is the linear combination N

G = £ alXi i=1 an unbiased estimator of n? {Hint: Find the conditions which the a; must satisfy for E(G) = /x-3 Also, find the variance of G.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Statistics Probability Inference And Decision

ISBN: 9780030778056

1st Edition

Authors: Robert L. Winkler, William L. Hays

See More Books

Question Posted: Sep 21, 2024 09:02 AM

See More Questions

State with reasons, whether the following statements are true or false : (i) Overhauling expenses for the engine of motor car to get better fuel efficiency is revenue expenditure. (ii) Depreciation...
The number of people N(t) in a community who are reached by a particular rumor at time t (in days) is given by Find the rate of change of N(t). 50,500 N(f) = 1+ 100e-07t
What are the sources of risk associated with foreign investments? How can the individual investor manage those risks?
Suppose that we have a sample of N independent observations from a certain population. We want to estimate the population mean, p. Under what con ditions is the linear combination N G = alXi i=1 an...
A foundation promises to donate $1 million to a local public broad casting station (a not-for-prot organization) in one year. When, and in what amount, should the station recognize revenue? The...
5 . Which of the following is an incorrect statement regarding break - even? a ) The cash break - even is the sales level that results in zero OCF. b ) The financial break - even is the sales level...
If G is an unbiased estimator of 6, under what conditions would it be possible for G2 to be an unbiased estimator of 02? Explain your answer.
Given that E{X) = X and var {X) = X for the Poisson distribution, show that sample means based on samples of N independent observations from a Poisson process are (a) unbiased estimators of X (b)...
Net income was $\$ 500,000$ in $1995, \$ 420,000$ in 1996 , and $\$ 504,000$ in 1997. What is the percentage of change from (1) 1995 to 1996 and (2) 1996 to 1997? Is the change an increase or a...
Explore the website https://mtcc.mv/ and work out on the following. Overview of the business Key Stakeholders Key strategic partners or alliances SWOT Goals for Shifting the Strategy Key Performance...
Selma Martin Current, a second-year Travel Tourism Hospitality student, operates a small hugest house in Katutura. He is doing well and is able to pay for his university fees from the cash generated...
Based on our lecture on tourist behavior do you agree with the idea of a tourist bubble? here's the video: https://youtu.be/9IjDLzo5dEs
Aramex is a well-recognized global brand for individual customers and business customers alike. It provides logistics and transport services including international and domestic express delivery,...
Which Kagan strategy do you believe is the most critical for engaging students in the learning process? Provide two examples of applying the strategy in the classroom.
Calculation the rest energy of an electron in joules and in MeV (1 MeV = 1.60 X 10-13 J),
Record the following selected transactions for March in a two-column journal, identifying each entry by letter: (a) Received $10,000 from Shirley Knowles, owner. (b) Purchased equipment for $35,000,...
In a Gallup Poll conducted October 2010,44% of the people polled answered more strict to the following question:Do you feel that the laws covering the sale of rearms should be made more strict, less...
Jane wants to estimate the proportion of students on her campus who eat cauli flower. After surveying 20 students, she nds 2 who eat cauliflower.Obtain and interpret a 95% condence interval for the...
Alan wants to estimate the proportion of adults who walk to work. In a survey of 10 adults, he nds 0 who walk to work. Explain why a 95% condence interval using the normal model yields silly results....
2 ACCOUNTING EQUATION (30 marks, 22 minutes) You are the bookkeeper for Wonderland stores. The following transactions were extracted from their accounting journals. Goods are marked up at 60% on the...
uired Homework i Saved Help Save & Wingate Company, a wholesale distributor of electronic equipment, has been experiencing losses for some time, as shown by its most recent monthly contribution...
A corporation originally issued $6.00 par value common stock for $15.00 per share. It purchased the stock for $16.00 per share. Which of the following is included in the entry to record the sale of...

Suppose that we have a sample of N independent observations from a certain population. We want to

Question:

Step by Step Answer:

Statistics Probability Inference And Decision

Students also viewed these Business questions