Show that the most powerful test obtained in Example 6 2 1 is UMP for testing H0 0 versus Ha a, but not UMP for testing H0 0 versus Ha 6 0 ...

Following the proof in 621 we can write The rejection ...

Show that the most powerful test obtained in Example 6.2.1 is UMP for testing H0:

Question:

Show that the most powerful test obtained in Example 6.2.1 is UMP for testing H0: μ ≤ σ0 versus Ha: μ > μa, but not UMP for testing H0: μ = μ0 versus Ha: μ6 = σ0.

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

Step by Step Answer:

Related Book For book-img-for-question

Mathematical Statistics With Applications In R

ISBN: 9780124171138

2nd Edition

Authors: Chris P. Tsokos, K.M. Ramachandran

See More Books

Question Posted: Nov 23, 2015 03:53 AM

See More Questions

Explain how we test H0: = 0 versus Ha: 0. What do we conclude if we reject H0: = 0?
Let X be one observation from a Cauchy(Î¸) distribution. (a) Show that this family does not have an MLR. (b) Show that the test is most powerful of its size for testing H0: Î¸...
Suppose X1, . . ., Xn is a random sample from a U (0, ) distribution. Find the most powerful a-level test for testing H0: = 0 versus Ha: = 1, where 0 < 1.
A small project consists of three activities: A, B, and C. To start activity C, both activities A and B need to be complete. Activity A takes 3 days with a probability of 50 percent and 5 days with a...
A random sample of 30 lunch orders at Noodles and Company showed a standard deviation of $5.31. Find the 90 percent confidence interval for the population standard deviation. Use Excel to obtain X2L...
The Habender Company just issued a two-year bond at 12%. Inflation is expected to be 4% next year and 6% the year after. Habender estimates its default risk premium at about 1.5% and its maturity...
You are a sales manager for an office supply distributor in a large metropolitan area. What do you use as your basic control unit in creating territories? Why?
Iridium Technologies manufactures a variety of flash memory chips at its main foundry in Anam, Korea. Some chips are sold by Iridium to makers of electronic equipment while others are embedded into...
In political economy models, what is the initial force that puts more developed countries (or cores) in circular and cumulative causation and keeps the world polarized between the rich and poor?
Wilson Marketing Consulting, a proprietorship owned by Lin Wilson, was started on January 1, 2016, with an investment of $50,000 cash. The company prepares marketing plans for clients. It has been...
Suppose X1, . . ., Xn is a random sample from a normal distribution with a known variance of 2 and an unknown mean of . Find the most powerful a-level test of H0: = 0 versus Ha: = a if (a) 0 > a,...
Let X1, . . ., Xn be a random sample from a geometric distribution with parameter p. Find the most powerful test of H0:pp0 versus Ha:p = pa (> p0). Is this UMP test for H0:p = p0 versus Ha: p > p0?
Under what circumstances does the law permit the government to prosecute a person who publicly advocates the violent overthrow of the U.S. government? What constitutional considerations come into...
Using two of the three main perspectives in organization theory (Modernist, Symbolic Interpretive, Postmodern), discuss how researchers from these perspectives understand organizations. To what...
Which of the following explanations for Walmart's profitability is most likely true? Walmart operates in a very profitable industry Walmart's competitive advantage is derived from path...
At the conclusion of a program evaluation, policy analysts often provide recommendations to legislative bodies for review. How significant is public input in the acceptance of these recommendations?
For one of the brand Sony, provide a brief report detailing the brand's use of the following IMC elements: advertising (include recent slogans and media used), publicity, public relations and...
You are an independent marketing consultant. You have been approached by a new client who is seeking advice on using product-mix pricing strategies: 1. Explain five (5) product-mix pricing...
Write an equation of the line passing through the given point(s) and satisfying the given condition. Give the equation (a) In slope-intercept form (b) In standard form 4 3 (0, -6); perpendicular to y...
You've been asked to take over leadership of a group of paralegals that once had a reputation for being a tight-knit, supportive team, but you quickly figure out that this team is in danger of...
Show that, if X and Y are random variables taking on only two values each, and if E(XY ) = E(X)E(Y ), then X and Y are independent. Discuss.
A coin is tossed until the first time a head turns up. If this occurs on the nth toss and n is odd you win 2n/n, but if n is even then you lose 2n/n. Then if your expected winnings exist they are...
(from Propp18) In the previous problem, let P be the probability that at the present time, each book is in its proper place, i.e., book i is ith from the top. Find a formula for P in terms of the...
A consultant advises that a fund pays out $100,000 at the end of 5 years. Provided $12,000 is invested in the fund at the start of each year, beginning immediately and continuing up to and including...
Durco Automotive needs a $2 million balance in its contingency fund 3 years from now. The chief financial officer (CFO) wants to know how much to deposit now into Durco's high-yield investment...
3. Create a chart for gross margin less R&D and capital costs calculations. a. Calculate gross margin less R&D and capital costs for options A and B. b. Graph total gross margin less R&D and capital...

Show that the most powerful test obtained in Example 6.2.1 is UMP for testing H0:

Question:

Step by Step Answer:

Following the proof in 621 we can write The rejection ...View the full answer

Mathematical Statistics With Applications In R

Students also viewed these Statistics questions