= 22pt
Math 3310 --- Exam II
June 19, 2000
1. An accounting firm
uses 3 types of auditing analysis on its clients: Direct Experience, Indirect Experience, and a Combination. We can think of these types of analyses as representing treatments. This is an example of a 1 way ANOVA. The auditors made numerical judgments about clients, and here are the summary results: å x2 = 9402.78
| ni |
n1 = 7 |
n2 = 7 |
n3 = 7 |
n=21 |
| Ti |
T1 = 119.0 |
T2 = 142.8 |
T3 = 175.0 |
T=436.8 |
| xi |
x1 = 17.0 |
x2 = 20.4 |
x3 = 25.0 |
x = 20.8 |
| Source |
df |
SS |
MS |
F |
|
| Treatment |
|
|
|
|
| Error |
|
|
5.092 |
|
|
| Total |
|
317.34 |
|
|
a. Complete the partial ANOVA table.
b. Find a 90% Confidence Interval for µ2.
c. Find a 90% Confidence Interval for (µ2 - µ1).
2. The manufacter of a pain medicine claims that the medicine is at least 90% effective in relieving pain. In a sample of 200 people, the medicine provided relief for 160 people. Test the manufacter's claim. Let a = .05.
3. A man starting work in a new town has two routes, A and B, by which he may drive home. He drives home on each route over a 10 day period. We can think of this as a paired or dependent sample. The summary results are: d = 0.88 minutes, with sd = 1.05 minutes, and n = 10. Find a 90% Confidence Interval for µd.
4. A company is concerned about the number of defective bolts which are being produced. We set up an experiment in which we test 4 types of machines, and we run each machine on 5 successive days. We think of this as a randomized block design, with t=4 treatments and b=5 blocks. Here are the summary data:
|
| Ti |
T1 = 54 |
T2 = 85 |
T3 = 63 |
T4 = 66 |
|
T = 268 |
| xi |
x1 = 10.8 |
x2 = 17.0 |
x3 = 12.6 |
x4 = 13.2 |
|
x = 13.4 |
| Bi |
B1 = 57 |
B2 = 51 |
B3 = 54 |
B4 = 47 |
B5 = 59 |
|
| |
|
|
|
|
|
|
| bi |
b1 = 14.25 |
b2 = 12.75 |
b3 = 13.50 |
b4 = 11.75 |
b5 = 14.75 |
|
|
| Source |
df |
SS |
MS |
F |
|
| Treatment |
|
102.0 |
|
|
| Block |
|
|
|
|
| Error |
|
|
3.0 |
|
|
| Total |
|
160.8 |
|
|
a. Complete the partial ANOVA table.
b. Test for equality of block means. Let a = .05.
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HEVEA.