Part – A

 Define Range.
 What is Standard Deviation?
 The Standard Deviation of a Binomial Distribution is __________
 What is joint probability?
 What is alternative hypothesis?
 What is TypeI and TypeII error?
 What is paired difference test?
 What is contingency table?
 Define Regression.
 The __________ is a statistic used to test the significance of a Regression as a whole.
Part – B
Unit I

 The following data relate to the Ages of a group of workers in a factory.
Age in Years 2025 2530 3035 3540 4045 4550 No. of workers 35 45 70 105 90 74 Find Mean, Median and Mode
 The following data relate to the Ages of a group of workers in a factory.

 List out the various measures of central tendency and measures of dispersion.
 For the given data calculate Standard Deviation and Coefficient of Variation. 120, 100, 160, 100, 220, 130, 150, 170, 150, 200
Unit II
 Determine the probabilities of the following events in drawing a card at random from a standard deck of 52 cards:
 A seven
 A Black
 An Ace or a king
 A black two or A Black three
 A red face card

 State normal distribution and its properties.
 A coin is tossed 6 times find the probability of getting:
 No heads
 At least one head
 All tails
Unit III

 Explain the concept of degree of freedom.
 For a population with a known variance of 185 a sample of 64 individuals leads to 217 as an estimate of the mean:
 Find standard error of mean
 Establish interval estimate that should include the population mean 68.3 percent of the time.
 It is claimed that a random sample of 100 tyres with a mean life of 15269 k.m. is drawn from a population of tyres which has a mean life of 15200 km and S.D of 1248 k.m. Test the validity of claim.
Unit IV

 Describe the procedure for testing the quality of two population proportions.
 In a simple random sample of 600 men taken from a big city 425 are found to be tea drinkers in another simple random sample of 900 men taken from another city 425 are found to be tea drinkers. Do the data indicate that there significant difference in the proportion of tea drinkers in two cities?

 A sample study of educational level of political party workers and their political party affiliations yields the following results
Education Level Part A Part B Part C Part D Did not complete High School 40 20 10 10 High School 30 35 45 20 College Degree 30 45 25 30 Use ∝= 05 and determine whether party affiliations is independent of education level of the workers.
[Table value 59].
 A sample study of educational level of political party workers and their political party affiliations yields the following results
Unit V

 State the properties of correlation and regression.
 Calculate the coefficient of correlation for the following data.
X 10 6 9 10 12 13 11 9 Y 9 4 6 9 11 13 8 4
 You are given below the following information about advertising and sales
Advertising Expenditure
(X) Rx. croresSales
(Y) Rs. croresMean 10 90 S.D 3 12 Correlation Coefficient is 0.8
 Calculate the two regression lines.
 Find the likely sales when the advertisement expenditure is Rs. 18 crores.
 What should be advertising expenditure if the company wants to attain sales target of Rs. 150 crores.