Assignment No.4 (Course STA301)
Spring 2012 (Total Marks 15)
Deadline
Your Assignment must be uploaded/ submitted before or on 23:59 27th June, 2012
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
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 average incomes of the workers from the two factories
a. 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
a. 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?
b. 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.
Solution:
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