Assignment No.4 (Course STA301)
Fall 2012 (Total Marks15)
Your Assignment must be uploaded/ submitted before or on
23:59 30th Jan , 2013
(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 Confidence interval and sampling distributions.
- How to get interpretation about Confidence interval.
Assignment # 4 (Lessons 31- 36)
Question 1: (Marks: 2+5=7)
a. In a finite population with and , find the mean and variance for the sampling distribution of sample mean for n = 25.
b. The mean and standard deviation of the maximum loads supported by 50 cables are 13 tons and 0.80 tons respectively. Find the 99% confidence interval for the mean of the maximum loads of all cables produced by the company. Also interpret the findings.
Question 2: (Marks: 5+3=8)
- If is normally distributed with and .
- A sample of people at the university cafeteria on meatless day showed 20% of them preferred vegetable dishes. How large a sample is needed if we want to be 95% confident that our estimate of population proportion is within 0.03?