Question: Let X have the exponential distribution with parameter . Suppose that we wish to test the hypotheses H0: = 1, H1: = 1.

Let X have the exponential with parameter β. Suppose that we wish to test the hypotheses
H0: β = 1,
H1: β = 1.
We shall use a test procedure that rejects H0 if either X ≤ c1 or X ≥ c2.
a. Find the equation that must be satisfied by c1 and c2 in order for the test procedure to have level of significance α0.
b. Find a pair of finite, nonzero values (c1, c2) such that the test procedure has level of significance α0 = 0.1.

Step by Step Solution

★★★★★

3.42 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The power function of the test described in this exercise ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

602-M-S-H-T (3851).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Two servers A and B in a fast-food restaurant each start their first customers at the same time. After finishing her second customer, A notices that B has not yet finished his first customer. A then...

Suppose that the time to complete a task is the sum of two parts X and Y. Let (Xi, Yi) for i = 1, . . . , n be a random sample of the times to complete the two parts of the task. However, for some...

Suppose that the random variables X1, . . . , Xk are independent and Xi has the exponential distribution with parameter i (i = 1, . . . , k). Let Y = min{X1, . . . , Xk}. Show that Y has the...

Let X have the exponential distribution with parameter . Suppose that we wish to test the hypotheses H0 : 1 versus H1 :

Let X1, . . . , Xn be i.i.d. with the exponential distribution with parameter . Suppose that we wish to test the hypotheses H0: 0, H1:

Let X 1 , . . . , X n be i.i.d. with the exponential distribution with parameter . Suppose that we wish to test the hypotheses H 0 : 0 , H 1 : < 0 . Let . Let c be the test that rejects H 0...

solve please 19. Let X has the exponential distribution with parameter B. That is, suppose that X has density f(x) = Be. Suppose we wish to test the null hypothesis that the parameter is greater than...

solve please 19. Let X has the exponential distribution with parameter B. That is, suppose that X has density f(x) = Beth. Suppose we wish to test the null hypothesis that the parameter is greater...

solve these practice problems The difference between the number of customers in line at the express checkout and the number in line at the superexpress checkout in Exercise 3 is X, - X2 Calculate the...

Suppose that the random variable X has an exponential distribution with parameter ? > 0. (i) What are the probability density function, fX(x), and the probability distribution function, FX(x), for...

Verizox Company uses a job order cost system with manufacturing overhead applied to products based on direct labor hours. At the beginning of the most recent year, the company estimated its...

Compare and contrast the American Opportunity Tax Credit with the Lifetime Learning Tax Credit.

Use the program written in your chosen programming language to write a line of text to a file and read it back from the file. Use the comments in the pseudocode to help you write comments to explain...

Explain the statement that an individuals criminal act must be shown to be both the cause in fact and the legal or proximate cause.

Engine bearings depend on a film of oil to keep shaft and bearing surfaces separated. Samples are regularly taken from production lines and each bearing in a sample is tested to measure the thickness...

The process of making concrete in a mixer is under control if the rotations per minute of the mixer has a mean of 22 rpm. What can we say about this process if a sample of 20 of these mixers has a...

The following is the time taken (in hours) for the delivery of 8 parcels within a city: 28,32,20,26, 42,40,28, and 30 . Use these figures to judge the reasonableness of delivery services when they...

solve part b only Question 3: (Total 10 marks) Use the information presented below to answer the questions: A. Record the following transactions in the Enterprise Fund of the country: (1*5: 5Marks)...

Tony's favorite memories of his childhood were the times he spent with his dad at camp. Tony was daydreaming of those days a bit as he and Suzie jogged along a nature trail and came across a...

Zitchdog is a manufacturer of invisible fence dog collars. The company is considering two options to compensate its traveling sales personnel: Option 1: sales personnel are paid $6 per collar plus...