When the sample standard deviation is based on a random sample of size n from a normal
Question:
(a) Use this result to obtain an unbiased estimator for = of the form cnS, when the constant cn depends on the sample size n.
(b) Find the value of cn for n = 10 and n = 25. Generally, how well does S perform as an estimator of for large n with respect to bias?
Transcribed Image Text:
E(S) = oV2/(n - I) I(n/2)/T[(n- 1)/2]
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 69% (13 reviews)
a n12 In2 2n1 b When n 10 C 1028...View the full answer
Answered By
DOROTHY ODONGO
I'm Dorothy Odongo and I've been tutoring for the past four years. As a tutor, my focus is to help communicate and break down difficult concepts in a way that allows students greater accessibility and comprehension to their course material. I excel in the categories of Math, History and Business. I love helping others develop a sense of personal confidence and curiosity, and I'm looking forward for a chance to working with you!
0.00
0 Reviews
10+ Question Solved
Related Book For
Applied Statistics And Probability For Engineers
ISBN: 9781118539712
6th Edition
Authors: Douglas C. Montgomery, George C. Runger
Question Posted:
Students also viewed these Statistics questions
-
A random sample of size n from a normal population with unknown mean and variance is to be used to test the null hypothesis µ = µ0 against the alternative µ µ0. Using the...
-
When the sample standard deviation S is based on a random sample from a normal population distribution, it can be shown that E(S) = 2/(n - 1)(n/2)/((n - 1)/2) Use this to obtain an unbiased estimator...
-
A political poll based on a random sample of 1000 likely voters classified them by sex and asked them if they planned to vote for Candidate A or Candidate B in the upcoming election. Results are...
-
Consider each of the following situations. Indicate whether (and why or why not) you think that the governement should account for the transactions and resources in an agency fund, a governmental...
-
1. In the American League, the East, Central, and West divisions each consists of five teams. A sportswriter predicts the winner of each of the three divisions by choosing a team completely at random...
-
In each of the following independent situations, decide whether the business organization should treat the person being paid as an employee and should withhold social security, Medicare, and employee...
-
This exercise considers data from the Medical Expenditure Panel Survey (MEPS), conducted by the U.S. Agency of Health Research and Quality. MEPS is a probability survey that provides nationally...
-
Superior Co. manufactures automobile parts for sale to the major U.S. automakers. Superior's internal audit staff is to review the internal controls over machinery and equipment and make...
-
Managers of SWEETY COMPANY, which manufactures a packaged beverage sweetener, have been trying to decide what price to charge for the product next year. One manager has come up with the following...
-
Blue Ridge Power and Light Company generates electrical power at four coal-fired power plants along the eastern seaboard in Virginia, North Carolina, Maryland, and Delaware. The company purchases...
-
A lot consists of N transistors, and of these M (M Determine the joint probability function for X1 and X2. What are the marginal probability functions for X1 and X2? Are X1 and X2 independent random...
-
A collection of n randomly selected parts is measured twice by an operator using a gauge. Let Xi and Yi denote the measured values for the ith part. Assume that these two random variables are...
-
The Centers for Disease Control (www.cdc.gov) periodically administers large randomized surveys to track health of Americans. In a survey of 4431 adults in 2003/2004, 66% were overweight (body mass...
-
You are thinking of purchasing a house that costs $300,000. You have $60,000 in cash for a down payment, but you need to borrow the rest of the purchase price. Assume there are no closing costs. The...
-
A detailed sales analysis can show a sales manager: a. why sales volumes are down in certain areas? b. where the company should open new branch offices next? c. how to divide up territories? d. how...
-
A nurse manager is preparing for a performance appraisal review for an employee who has been identified as substandard. describe the process of conducting a performance appraisal review and when...
-
2. You are going to invest $20,000 in a portfolio consisting of assets X, Y, and Z, as follows: Annual Asset Return Probability Beta Proportion X 10% 0.50 1.2 0.333 Y 8% 0.25 1.6 0.333 Z 16% 0.25 2.0...
-
Tim and Tina were married in 1998. In 2010, Tina took a job in California, while Tim stayed in Maine. Tim has never had any desire to move to California, and Tina refuses to move back to Maine....
-
On January 1, Dias SA issued R$1,000,000, 10%, 5-year bonds with interest payable annually on December 31. The bonds sold for R$1,072,096. The market rate of interest for these bonds was 12%. On the...
-
List four items of financial information you consider to be important to a manager of a business that has been operating for a year.
-
Try Graph Search. Do you find it useful? When would you use it, or why wouldn't you use it? Can Facebook turn Graph Search into a money maker? How could it do this, or why won't it accomplish this...
-
What generalizations are you willing to make? Explain. Is hand span a good predictor of how much candy you can grab? Using 45 college students as subjects, researchers set out to explore whether a...
-
Are you able to conclude that the association between hand span and number of Tootsie Rolls grabbed is causal? Explain. Is hand span a good predictor of how much candy you can grab? Using 45 college...
-
Find a confidence interval for the slope that would describe the association between all hand spans and number of Tootsie Rolls grabbed. Is zero in this interval? Does this make sense based on the...
-
Many American car manufacturers are located in the Southeast. Due to hurricane season, the Southeast has gotten a significant amount of rain, causing vast flooding. How is the supply of cars impacted?
-
Suppose that the cost in dollars for a weekly production of x tons of sugar is given by the following function (a) Find the marginal cost. 1 C(x) = x+3x+200. (b) Find the cost and marginal cost when...
-
16. An IEEE standard 32-bit floating point number is N = -15 x 2E-127 x 1.F, where S is the sign bit, F is the fractional mantissa, and E the biased exponent. a. Convert the decimal number 123.5 into...
Study smarter with the SolutionInn App