Let X1, X2, ... , Xn be a random sample of size n from the normal distribution N(, 2)

Chapter 7, Problem 7.1-14

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Let X1, X2, ... , Xn be a random sample of size n from the normal distribution N(, 2). Calculate the expected length of a 95% confidence interval for , assuming that n = 5 and the variance is (a) known. (b) unknown. Hint: To find E(S), first determine E[ (n 1)S2/2 ], recalling that (n 1)S2/2 is 2(n 1). (See Exercise 6.4-14.)

Questions & Answers

QUESTION:

Let X1, X2, ... , Xn be a random sample of size n from the normal distribution N(, 2). Calculate the expected length of a 95% confidence interval for , assuming that n = 5 and the variance is (a) known. (b) unknown. Hint: To find E(S), first determine E[ (n 1)S2/2 ], recalling that (n 1)S2/2 is 2(n 1). (See Exercise 6.4-14.)

ANSWER:

Step 1 of 4

Given:

  is a random sample of size n from the normal distribution .

The level of confidence is 95%.

The size of the sample is n = 5.

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back