Introduction to Statistical Methods (MATS2206)

Mathematics and Computer Science - MCS

Semester: Second Semester

Level: 200

Year: 2019

Answers (200 )
1
THE UNIVERSITY OF BAMENDA
FACULTY OF SCIENCE
DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE
MATS2206: INTRODUCTION TO STATISTICAL METHODS CONTINUOUS ASSESSMENT
T ime Allowed:
1
h ou r
1. Show that if X
1
, X
2
, … ,
X
n
constitute a random sample from an infinite population which has mean and
variance
2
,
then
a)
E(
n
)
=
μ
b) Var (X
) =
(8 marks)
2. If X
1
, X
2
, … ,
X
n
is a random sample size
n
from
f(x: )=

0<x<
0 elsewhere
Find the method the moments estimator for
6 marks
b) If X
1
, X
2
, … ,
X
n
is a random sample size
n
from
P ( X = x )
=

0<x<
0 elsewhere
Find the maximum likelihood estimator
0
(6 Marks)
0 elsewhere.
(6 Marks)
3. A study was made on the amount of converted sugar in a certain process at various temperatures. The data
were collected and recorded follows
Table 1: Amount of converted sugar in a certain process at various temperatures
Temp (A
A
)
1.0
1.1 1.2 1.3 1.4 1.5
Sugar,
(y)
8.1
7.8 8.5 9.8 9.5 8.9
Find the least square line for the data. (7 Marks)
Dr. Kum Cletus Kwa: June 13 2019
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