# STAT 528 HOMEWORK #3 Due: Friday, September 18, 2015.

```STAT 528
HOMEWORK #3
Due: Friday, September 18, 2015.
Data sets will be sent to you and also posted on the course webpage.
1. (1pt) Exercise 5.10, page 223 (5.10, page 231).
2. (2.5pt) For Exercise 6.2 (a) and (c) only, page 272 (6.8, page 281) use an
3. (1.5pt) Redo Exercise 6.2 (a) (6.8 (a)) but assuming &micro; = .0630 and σ =
.00045. That is, &micro; and σ are known.
4. (4.5pt) Exercise 6.4 (a), (b) and (c) only, page 273 (6.10, page 283) .
5. (2.5pt) Exercise 6.20, page 277 (6.26, page 285).
6. (2pt) Exercise 6.40, page 280 (6.48, page 289). In the question, remove “by
at least” That is, you want to determine the probability that the control
chart would exhibit lack of control in 3 or fewer points.
7. (1pt) Exercise 6.46, page 281 (6.54, page 289). You can assume that only
Rule 1 is being used to determine the α-risk of .01.
Possible MS Writing Project: One important property of a control chart
is the average run length (ARL). Note that the text does not discuss a
confidence interval for the ARL. Suppose the response X ∼ N (&micro;, σ 2 ) with
&micro; and σ 2 known. Show how you could generate a confidence interval for the
in-control and out-of-control process ARLs under different combinations of
rules.
```