# STA632 Assignment 1 Solution and Discussion

• Assignment No.1 (Course STA 632)
Fall 2019(Total Marks 20)

Your Assignment must be uploaded/ submitted before or on9 Dec., 2019,
Time 23:59
(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 Math Type 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 modern tools of survey sampling and R codding.

Assignment No.1 (Lessons 10-18)

Question 1: Marks 3+4+3 =10
Find n_1, , and by proportional allocation from the following information.
=1580, =1140, =125, =114 and =440.
Explain the condition when (population following the linear trend).
Prove that for unequal cluster size.
Question 2: Marks 5+5=10
Prove that the variance of the sample mean by systematic sampling is:

``Write simulated R coding program for generating 1000 samples of size 6 from systematic sampling by using following information. Also find the mean of each sample and the mean of means. 120,140,225,332,221,224,228,55,91,741,852,963,159,852,369,147,236,256,289,123,456,789,258,369,147,987,654,321,193,367,581,111,222,333,444,555,666``

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