Let X (X 1 , X 2 , , X 8 ) be a random sample taken from population has normal distribution N( 0 , sigma 2 ) We want to test H 0 sigma 0 5 against H 1 sigma not equal 0 5 and if the test is reject H 0 if summation X i 2 5 025 or summation X i 2 0 4125 Find the size of the critical region and the power function of the test

The Answer is in the image, click to view ...

Question: Let X=(X 1 , X 2 ,...., X 8 ) be a random sample taken from population has normal distribution N( 0 , sigma 2

Let X=(X₁ , X₂ ,...., X₈) be a random sample taken from population has normal distribution N( 0 , sigma²). We want to test H₀ : sigma = 0.5 against H₁ : sigma not equal 0.5 and if the test is reject H₀ if summation X_i² > 5.025 or summation X_i² < 0.4125 . Find the size of the critical region and the power function of the test.

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!

Use a table of areas ( Table II ) to obtain the area under the standard normal curve that lies (pls. round your answer to four decimal places) to the left of -0.09 to the left of 2.03 to the right of...

Which of the following correctly describes the central limit theorem with respect to x? o a. Ifis the mean of a simple random sample taken from a large population and if the N population values are...

2. Instead of just giving the final answers, provide the intermediate steps for each problem so that you can still get some points even if the final answers are wrong.Problem 2. (15 points) Alice...

The capacity named mymax1 should take one boundary a that is a 1D cluster, and return the maximum scalar worth in the given exhibit, or [] if the cluster an is vacant. The return worth ought to be a...

CoursHeroTranscribedText: 1 PROBLEM 1 (25pts) The two foremost aerospace companies in the USA are Lockheed and Boeing. They often compete for government contracts. A major factor in awarding a...

Suppose that X1, . . . , Xn form a random sample from the normal distribution with unknown mean and known variance 2. In this problem, you will prove the missing steps from the proof that there is...

GU4204/GR5204 - Statistical Inference Final Exam - Fall 2016 December 20 Please show your work in all the problems to get full credit. Time: 90 min Name: - UNI: 1. Suppose X1 , X2 , ..., Xn is a...

please answer this. Question 4 Open with Google Docs Let X1; ..., X100 be a random sample from a normal distribution with mean / and variance o2. Suppose x = 10 and s = 10. 1. (10 points) Find a 85%...

(a) Suppose Z is a standard normal random variable and let X = 32 1. (i) (2 points) Find Pr(1 g X g 1). (ii) (1 point) What is the probability that X is within one standard deviation of its mean?...

Solve the statistical problems questions. Internet domain names are linked to trademark issues. Technology makes it easy to copy and distribute music and movies without paying royalties. Business...

Find the area of the portion of the circle in number 6 that is outside triangle RST if the radius of the circle is 8 cm. 60 70 RI S.

List the types of information that must be presented for each reportable segment of a company under the rules of SFAS No. 131 [ASC 280].

1 3 When testing internal contrals, which of the following statements is not true with respect to the use of nonstatistical sampling? Muluple Choice 0 0 . 2 9 . 4 5 Nonstatistical sampling does not...

Problem 8 - 2 7 ( Algo ) Accounts receivable financing [ LO 8 - 1 ] Charming Paper Company sells to the 1 2 accounts IIsted here. \ table [ [ , \ table [ [ Receivable Balance ] , [ Outstanding ] ] ,...