Variance-Probability-Assignment Solution, Exercises of Probability and Statistics

Probability course is not being taught in mathematics but its important in engineering, physics, computer science etc. Every science field. This is solved assignment for Probability. It includes: Statistical, Assignment, Variance, Probability, Mean, Sample, Factory, Workers, Calculations

Typology: Exercises

2011/2012

Uploaded on 08/03/2012

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Assignment No.4 (Course STA301)
Spring 2012 (Total Marks 30)
Deadline
Your Assignment must be uploaded/ submitted before or on
23:59 27th June, 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
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 students regarding the application of estimation.
The students’ BASIC concept regarding the estimation of sample size.
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Assignment No.4 (Course STA301)

Spring 2012 (Total Marks 30)

Deadline

Your Assignment must be uploaded/ submitted before or on

th

June, 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 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 students regarding the application of estimation.The students’ BASIC concept regarding the estimation of sample size.

Assignment 4 (Lessons 31- 36 )

Question 1: Marks: 8

a. 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:

Calculate the 96% confidence interval for the real difference in the incomes of the workers from the two factories Sol We know that

Z  2  Z 0.04 2  Z 0.02 2.

b. 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 p. Sol Here p ˆ = 0.3, n = 200. 95% confidence interval for P is

/

pq p zn

Factory Sample Size Mean Variance A 160 15.80 64 B 220 10.25 47

  2

2 2 1

2 1 1 2 / 2

n

s

n

s

x  x z 