1. Let X; - N(u, 1), 1

Answered: Image /qna-images/answer/aba74bde-b4da-47db-9ab9-98fac5e4f857.jpg

Let X; - N(4, 1), 1 < i< n, be n independent random variables. We are interested in estimating ? based on this random sample. (a) What is the MLE for 2? Is it an UBE? If not what is the square of its bias? (b) Show that X2 - 1 is an UBE for u?

Let X; - N(4, 1), 1 < i< n, be n independent random variables. We are interested in estimating ? based on this random sample. (a) What is the MLE for 2? Is it an UBE? If not what is the square of its bias? (b) Show that X2 - 1 is an UBE for u?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.1: Postulates For The Integers (optional)

Problem 27E: Let x and y be in Z, not both zero, then x2+y2Z+.

See similar textbooks

Related questions

Q: In the St. Petersburg Community College, 30% of the men and 20% of the women are studying…

A: Let M=a student is menW=a student is womenE=a student is studying…

Q: A farmer said that 2/3 of his apple trees were attacked by fruit flies. If the inspection is carried…

Q: 2. A banana company claims that the mean weight of their banana is 150 grams with a standard…

A: The random variable weight of the banana follows normal distribution. We have to test whether the…

Q: A batch of loaves is baked. The weight of the loaves is normally distributed with a mean of 800 g…

Q: o. what is the probability that the mean of the numbers is 1.5 ? b. what is the probability that the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Suppose we roll a twelve-sided die. Determine the probability of rolling an odd number Determine the…

Q: A survey conducted among 1017 men and women by Opinion Research Corporation International found that…

A: Solution: Given information: n= 1017 Sample of men and women Proportion of women= 0.76 Proportion of…

Q: 2. Here is the equation of the list squares of regression line: y=31.9-0.304x. Sample size is 13. S-…

A: Solution: Given that , s=3.667, (a). The standard error of the slope estimate is : Null…

Q: A manufacturer of Samsung phone charges claims that only 4% of his production is defective. In a…

A: 1. Given claim: The percentage of production is defective is 4%. Null Hypothesis: H0:p=0.04…

Q: The following results are from data where the dependent variable is the selling price of used cars,…

A: Given information: The output of multiple linear regression model is given.

Q: Compute the z-score to one decimal place for the imports from ipiow Juont doteo rairdw 12. o…

A: 12. From the given information, Imports Exports 339 261 338 70 216 151 139 65…

Q: An average of 3 cars arrived at a highway tollgate every minute. What is the probability that at…

A: GivenAn average of 3 cars arrived at tollgate every minutefor 15minutes = 3*15=45λ=45 cars for…

Q: Which one can he use to find the areas under the standard normal curve? a. graph b. z-values c.…

A: Task is to find the areas under the standard normal curve.

Q: Apply the knowledge you obtained from the discussion by solving the given problems below. 1. How…

A: The random variable X follows normal distribution. We have to find the sample size for the different…

Q: F.44 Each rear tire on an experimental airplane is upposed to be filled to a pressure of 40 pound…

Q: Independent Activity 1: A random sample of size 70 has a standard deviation of 15. What is the…

A: In question, Given that a random sample of size 70 has a standard deviation of 15. Then we'll find…

Q: Use Slovin's Formula to determine sample size: 1. Given: N = 1000 ; 2. Given: N = 2000; margin of…

A: Given: 1. N=1000, Margin of error, e=0.01 2.N=2000, Margin of error, e=0.05

Q: For the following z scores, please tell me the percentage of scores that lie below it: a. 2.5…

A: We will use Std. Normal table to find the required percentages.

Q: An energy company wants to choose between two regions in a state to install energy-producing wind…

A: Given that

Q: The test scores of 56 students in Mathematics are the following: Вoys: 72 75 92 86 74 80 71 78 90 85…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: The random variable, x is a water quality parameter, suspended solids with units of parts per…

A: Given: Sample size, n=60 Sample mean, x¯=59.87Sample sd, s=12.5μ0=50

Q: figure to the nght, hich shows the percentages of adults from several countries who favor building…

A: The survey included the random sample 1125 adults from country A, 1003 adults from country B, 1019…

Q: Consider the following probability density distribution of random variable X. if 0<x < 6 f (x) = }kx…

Q: The following data represents the ages of 40 employees in the Ministry of Electricity, which is…

A: Given that The data of 40 employees are 19, 31, 22, 22, 27, 28, 28, 28, 26, 25, 26, 25, 26,…

Q: An airplane is built to be able to fly on one engine. If the plane has two engines operate…

A: Given Hello. Since your question has multiple, we will solve first question for you. If you want…

Q: An SRS of nine adults went on a low-fat diet for 10 weeks to lower cholesterol. Here are the data…

A: Hypothesis testing : Hypothesis testing is a type of statistical inference that uses sample data to…

Q: In an article Shelf-Space Strategy in Retailing, published in the Proceedings: Southern Marketing…

A: In order to determine whether there is significant difference in the average daily sales of…

Q: I want to assess whether or not students produce more stress hormones (cortisol) after watching…

A: Given claim: The hypothesis that saliva cortisol levels will be different between the two genres of…

Q: A group of 50,000 tax forms has an average gross income of $37,000, with an SD of about $20,000.…

Q: 5% is a very common significance level for significance tests, but it Is arbitrary

A: Level of significance helps researcher to make decision about the null hypothesis.

Q: The porosity data are classified in range of 2% as given below 1. Draw the histogram and the cum.…

Q: APA spell is the one used to cite the sources of for information gathered from different reference…

A: Please find the explanation below. Thank you

Q: Question A political candidate has asked you to conduct a poll to determine what percentage of…

A: Given that Margin of error n=0.07 99% confidence interval.

Q: The bags of salt packed by a machine have μ=500 g and σ= 35 g, a sample of 100 packages is taken,…

A: In question, Given that The bags of salt packed by a machine have μ=500 g and σ= 35 g, a sample of…

Q: The players of Maluleke FC are from two main towns of Limpopo province, Tzaneen and Polokwane. From…

A: Given,no.of players from Tzaneen=20no.of players from Polokwane=8Total no.of players=28

Q: Exercise 6.12 Let X1,..., Xn be a random sample from Uniform(0, 20). Find the asymptotic…

A: Asymptotic distribution An asymptotic distribution is a probability distribution that is…

Q: A random sample of n measurements was selected from a population with unknown mean u and standard…

A: The random variable X follows normal distribution. We have to construct 95% confidence interval for…

Q: Periodically a bottling company gets complaints that their bottles are not holding enough liquid, To…

Q: Consider the following time series data. Week 1 2 3 4 6. Value 16 14 16 11 17 14 (a) Choose the…

A: Given data according to weeks We have to calculate forcast by moving average method and exponential…

Q: In a city, 70% of the people prefer Candidate A. Suppose 30 people from this city were sampled.…

Q: I am playing a gambling game. On each play, I have a 20% chance of winning $12, a 20% chance of…

A: From the given information, In gambling game, I have a 20% chance of winning $12, a 20% chance of…

Q: (b) For each of the following sampling scenarios, determine which distribution should be used to…

A: Given: Sample meanx¯=485Sample standard deviation(s)=80

Q: Three judges, A, B, C, give the following ranks. Find which pair of judges has common upproach A: 1…

A: Here we calculate three rank correlation coefficient: r12 between the ranks of judges I and II r23…

Q: If a random variable X is distributed as X ∼ N(100,49), what is P(X < 105)? Please refer to a…

A: The random variable X follows normal distribution. X~N(μ,σ2) We have to find the probability of X…

Q: The project manager has obtained a non-uniform distribution of resources all along the project. She…

A: The main demands of the Resource Planning Manager are: 1 to optimize the use of resources 2 to…

Q: 3. Complete the following contingency table If it is known that P(A) = 2/5 and P(A U C) = 7/15 D…

A: From the given table Find the missing

Q: 4. In Student's t-distribution, what is the nd mom А. 5 В. 24 С. 25 D. 26

A: (4) We have given that, Degree of freedom (df) = 25 Then, We will find the sample size of students…

Q: Using your favorite statistics software package, you generate a scatter plot with a regression…

A: GivenThe regression equation(y)=20.41x+15.5correlation coefficient(r)=0.27

Q: In a company, a hypothesis test is carried out to verify that the weight of the products delivered…

Q: Bonus +3 Find the probability of being dealt a flush in poker. This means that all five cards you're…

Question

1. Let X; - N(u, 1), 1 <i <n, be n independent random variables. We
are interested in estimating 2 based on this random sample.
(a) What is the MLE for µ2? Is it an UBE? If not what is the square
of its bias?
(b) Show that X2-1 is an UBE for u?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here