STA301 Assignment No. 4 Announced

Assignment No.4 (Course STA301)

Fall 2010 (Total Marks 30)

Deadline

Your Assignment must be uploaded/ submitted before or on 23:59 Feb 03, 2011

(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 sampling techniques and testing of hypothesis. Application of the hypothesis testing and confidence interval.

How to get sample size from the given information.

Concepts about unbiasedness and precision

Assignment # 4 (Lessons 31-40)

Question 1: (Marks: 5x1=5)

Give the answer of short questions.

a) When we use central limit theorem?

b) What is the technique to find the estimates of an infinite population?

c) , what do you say about the estimator T, where is a parameter?

d) How precision of an interval estimate can be increased?

e) If an 85% confidence interval is 27.5< <43.8,>

Question 2: (Marks: 6+4=10)

a) In an finite population with and , find the mean and variance for the sampling distribution of if:

b) Find the value of sample size in case of proportions.

Question 3: (Marks: 5+5+5=15)

Test the hypothesis

The masses, in grams, of thirteen ball bearings seen at random from a batch are

21.4, 23.1, 25.9, 24.7, 23.4, 24.5, 25.0, 22.5, 26.9, 26.4, 25.8, 23.2, 21.9

Calculate a 95% confidence interval for the mean mass of the population.

If n=36, s=9 and t=2, what is the values of?