Solution Found!
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)
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.