standard deviation, coefficient of skewness, distribution

Assignment No.2 (Course STA301)

 Fall2012 (Total Marks15)

Deadline

Your Assignment must be uploaded/ submitted before or on

23:59 November 21^st, 2012

(STUDENTS ARE STRICTLY DIRECTED TO SUBMIT THEIR ASSIGNMENT BEFORE OR BY DUE DATE. NO ASSIGNMNENT AFTER DUE DATE WILL BE ACCEPTED VIA E.MAIL).

Rules for Marking

It should be clear that your Assignment will not get any credit IF:

• The Assignment submitted, via email, after due date.
• The submitted Assignment is not found as MS Word document file.
• There will be unnecessary, extra or irrelevant material.
• The Statistical notations/symbols are not well-written i.e., without using MathType software.
• The Assignment will be copied from handouts, internet or from any other student's file. Copied material (from handouts, any book or by any website) will be awarded ZERO MARKS. It is PLAGIARISM and an Academic Crime.
• The medium of the course is English. Assignment in Urdu or Roman languages will not be accepted.
• Assignment means Comprehensive yet precise accurate details about the given topic quoting different sources (books/articles/websites etc.). Do not rely only on handouts. You can take data/information from different authentic sources (like books, magazines, website etc) BUT express/organize all the collected material in YOUR OWN WORDS. Only then you will get good marks.

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?

b)      Two candidates X and Y at the B.A (Hons.) Examination obtained the following data.

Candidate X	Candidate Y
Ẋ= 43.2	Ῡ = 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)

1. If coefficient of skewness = 0, then what would you say about the shape of the distribution?
2. 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, ∑ X²= 281019; ∑ Y²= 841786 and ∑ XY = 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. 

Solution Link

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