Homework #8: Traffic Control

Due: May 16, 2016 at 14:00.

Read and understand the following instructions on submission of homework. If you do not follow them, you will not receive credit.

Write a plain text e-mail to me. This homework does contain special symbols, but you can copy and paste them from the assignment if you need them and don't know how to input them. (It does not use special wordprocessor features. Do not attach a wordprocessor file such as Microsoft Word or a Excel spreadsheet. I will not read them.) Give the mail the subject "01CN101 Homework #8 by <your name>" in hankaku romaji and send it to math-hw@turnbull.sk.tsukuba.ac.jp. (This subject is helpful for automatically sorting incoming mail.)

Make sure that the body of the email contains your name and student ID number.

You should automatically receive an acknowledgment of your submission by email. Keep that mail. In case I lose your mail for some reason it becomes your proof of homework submission. If you don't receive an acknowledgment, you probably submitted to the wrong address.


Problem 1

The Planning Department of Tsukuba City has measured the speeds of 100 automobiles passing a particular point on Higashi-Odori. Suppose that the null hypothesis H0 is that the average speed of automobiles is equal to the speed limit. Consider the three typical hypothesis tests: the upper-tail test, the lower-tail test, and the two-tailed test. Explain how to interpret a rejection of H0 for each test, and how knowing whether H0 was rejected or accepted for each test would be useful to the Planning Department. That is, in what kind of decision would this information make a difference to the Department's action?

日本語版 は授業で話した内容で省略されたものなので英語版の方が正確 と考える。

Due: May 16, 2016 at 14:00.