# Khan

### Khan

University of Central Punjab Faculty of Management Studies Assignment 02 (Summer-2012)Course Title: Business Statistics

Course Code: (QM2013) Section: A Resource person: Prof. M Aslam Javed. Program: BBA/BSIS/BSSS/MBA Marks: 10 Submission Date: Sep. 01, 2012

Name: ______________________________

Registration Number: _________________

Question 1:

The marks obtained by 12 students in December test (X) and promotion test (Y) are given below: Student 1 2 3 4 5 6 7 8 9 10 11 12 X 41 45 50 68 47 77 90 100 80 100 40 43 Y 60 63 60 48 85 56 53 91 74 98 65 43 a) Estimate the marks in the promotion test (Y) if a student who was sick obtained 60 marks in the December test (X)? b) If a student, who migrated after the December test, obtained 75 marks in the promotion test (Y), estimate his marks in December test (X), had he been admitted earlier?

Question 2:

A bulb manufactured company has a mean life time of 700 hours with a standard deviation of 60 hours. Find probability that in random sample of 16 tubes taken out from group have a mean life of between 690 and 710 hours? Has more than 720 hours?

Question 3:

The masses of 1400 balls are normally distributed with a mean of 21.40 grams and standard deviation of 0.048 grams of 250 random samples of size 34 are drawn from population. Determine the expected mean and standard error of sampling distribution of mean if sampling is done with and without replacement?

Question 4:

A study was made on the amount of converted sugar in a certain process at various temperatures. The data were coded and recorded as follows: Temp 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 Conv 8.1 7.8 8.5 9.8 9.5 8.9 8.6 10.2 9.3 9.2 10.5 Sugar Find the equation of regression line, Coefficient of correlation and Coefficient of determination.

Question 5:

A population contains 2,3,6,8. Consider all possible samples of size 2 that can be drawn with replacement. Find the mean and variance of population and the mean and variance of the...