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?
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?
- 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
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.
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