Sunday, 18 November 2012
Assignment No.2 (Course STA301)
Fall 2012 (Total Marks15)
Objective(s) of this Assignment:
- The assignment is being uploaded to build up the concepts about the measure of dispersion.
- How to compute regression line.
- Application of moment ratio.
Assignment # 2 (Lessons 10-15)
Question 1: (Marks: 3+5=8)
a) The fourth mean moment of a symmetric distribution is 243. What would be the value of the standard deviation in order that the distribution may be meso-kurtic?
The fourth standardized moment must be at least 1
b) Two candidates X and Y at the B.A (Hons.) Examination obtained the following data.
Candidate X
|
Candidate Y
|
 = 43.2 |  = 20.5 |
S.D = 24.25
|
S.D = 15.6
|
Which of the candidate showed a more consistent performance?
Question 2: (Marks: 2+5=7)
- If coefficient of skewness = 0, then what would you say about the shape of the distribution?
if coefficient of skewness is zero then distribution is symmetric or zero skewed.
- The following data were computed from personnel records of a manufacturing firm:
X = Number of years of service
Y = weekly wage rate
n = 23; ∑X = 2433; ∑Y = 4254, ∑ 
= 281019; 
= 841786 and 
= 482788
= 281019; = 841786 and = 482788
If the correlation coefficient indicates that there does exist a relationship between X and Y, compute the least squares line of regression Y = a + b X.
-End-
