# UNSOLVED CS721 Assignment 1 Solution and Discussion

• Virtual University of Pakistan
CS721 – Network Performance Evaluation
Assignment 1
Instructions to Solve Assignments
The purpose of the assignments is to give students hands on practice. It is expected that students will solve assignments themselves. Following rules will apply during the evaluation of the assignment.
Cheating from any source will result in zero marks in the assignment.
Any student found cheating in any two of the assignments submitted during the
course will be awarded “F” grade in the course.
No assignment after due date will be accepted.
Fall 2019
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Virtual University of Pakistan
Answer the following questions in your own words. Plagiarism will be checked for each question. Marks will be awarded on the basis of answer and plagiarism report.

• Question 1 Marks 15
The standard deviation of the amounts poured into bottles by an automatic filing machine is 1.5 ml. The amount of fill in a random sample of bottles in ml are 431,459,472,477,470,489,481,475 and 482. Suppose the population of amounts of fill is normal. Construct an 80% confidence interval for the mean amount of bottles filled by the machine.
• Question 2 Marks 20
Consider the following data:
78, 84, 91, 106, 69, 115, 118, 90, 104, 86, 95, 97, 72, 83, 87, 109, 88, 79 71, 104, 83, 116, 97, 88, 107, 74, 72, 98, 113, 71, 80, 102, 77, 121, 111, 95
Calculate the mean, median, mode and standard deviation of the above data and also tell the shape of the distribution.
• Question 3 Marks 15
We have sample mean 90 with a sample size of 20. Can this sample be regarded as drawn from a normal population with mean μ = 83, σ=4 and α = 0.05?
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