1
THE ELLIPSE
An ellipse is the set of all points in the plane , the sum of whose distance from two fixed points (foci) is a
constant.
Eg) 1. Graph the ellipse whose equation is:
7 x 2 + 16 y 2 = 112
112
7 x 2 + 16 y 2 = 112, find the intercepts: y-interc
Math 219 Practice Test #2 Answers
1C 2A 3B 4E 5B 6A 7C 8A 9C 10A 11D 12C 13E
14. With s = 1.553, n = 15, and
(n 1) S 2
2
1 , n 1
2
.90,14
= 7.790, the 90% upper confidence bound for is
14(1.553)2
2.08 .
7.79
15.
We test Ho : d 5 vs. H a : d 5. With d 7.6
Math 219 Practice Test #1 (8.1 9.2) Answers
1.
2.
3.
4.
5.
6.
7.
E
C
A
B
B
C
C
8. C
9. B
x 1.645
s
n
p (1 p)
p 1.645
n
10. E
11. cable television service
a.
R1 is most appropriate, because x is either too large or too small contradicts p = .5 and
supports
Math 219 Assignment # 8 (Ch I 5)
Name: i<E \I Mark: {'20
l. A random sample of 15 automobile mechanics certied to work on a certain type of car was selected,
and the time (in minutes) necessary for each one to diagnose a particular problem was determin
Math 219 Practice Test 3 Answers
1.
2.
3.
4.
Assume the existence of I parameters 1 , 2 ,
, I and J parameters 1 , 2 ,
, J such that
X ij i j ij (i 1,
, I and j 1,
, J ) and ij i j . The model specified by the above equations is
called an _ model because
Math 218 Review EX 2: Chapters 3.3, 5, 7, and 8
1. Suppose random variable X has a pmf of:
x
100
1000
p(x)
0.2
0.05
-1
0.75
a) Compute the following:
E(X) =
E(X2) =
V(X) =
b) E(-10X + 5) =
c) V(-10X + 5) =
2. The weight of a randomly selected bag of certa
Math 219 Practice Test #4
Answers
1.
2
a. We reject H 0 if the calculated 2 value is greater than or equal to the tabled value of , k 1
2
from Table A.7. Since X 2 14.69 .05,4 9.488, we would reject H 0 .
2
b. Since X 2 7.85 is not .01,3 11.344, we would