The Avenal State Prison in California has thousands of files on former inmates, an estimated 20 million pages of documents. A proposal has been made to archive many of these old files to compact...

The Avenal State Prison in California has thousands of files on former inmates, an estimated 20 million pages of documents. A proposal has been made to archive many of these old files to compact discs. The state will release money for this project only if prison officials present evidence to suggest the true mean age of all files is greater than 10 years. A random sample of files will be obtained, and the information in the sample will be used to test the hypotheses

a. Describe a type I error and a type II error in this context.

 b. From the warden’s perspective, which error is more serious? Why?

c. From a state senator’s point of view, which error is more serious? Why?