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Assignment No.4 (Course STA301)

 Spring 2012 (Total Marks 15)



Your Assignment must be uploaded/ submitted before or on

23:59 27th June, 2012



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 of students regarding the application of estimation techniques.
  • The students’ BASIC concept regarding the estimation of sample size.






Assignment 4 (Lessons 31-36)

Question 1:                                                                                                             Marks: 8

  1. The means and variances of the weekly incomes in rupees of two samples of workers are given in the following table, the samples being randomly drawn from two different factories:


Sample Size











Calculate the 96% confidence interval for the real difference in the average incomes of the workers from the two factories


  1. In a random sample of 200 persons having their lunch at the University cafeteria on meatless day it was observed that 30 percent preferred vegetable dishes. Find 95% confidence interval for proportion of people who preferred the vegetable dishes.


Question 2:                                                                                                             Marks: 7

  1. A research worker wishes to estimate the mean of a population using a sample sufficiently large that the probability will be 0.90 that the sample mean will not differ from the true mean by more than 30 percent of the standard deviation. How large a sample should be taken?
  2. The mean and standard deviation of the population is 30 and 5 respectively. The probability distribution of the parent population is unknown, find the standard deviation of the sampling distribution of when n = 50.



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