MECH
II YEAR
ELECTRONICS AND MICROPROCESSORS
ENGINEERING MATERIALS & METALLURGY
HEAT & MASS TRANSFER
MANUFACTURING TECHNOLOGYII
STRENGTH OF MATERIALS
STATISTICS AND NUMERICAL METHODS 
STATISTICS AND NUMERICAL METHODS
UNIT  I
PART – A(2 Marks)
1. What is the essential difference between confidence limits and tolerance limits?
2. Define Null hypothesis and Alternative hypothesis.
3. Define level of significance
4. Define TypeI error and TypeII error?
5. Define student’s ttest for difference of means of two samples.
6. Write down the formula of test statistic‘t’ to test the significance of difference between
the means.
PART – B(16 Marks)
1. (a) A sample of 900 members has a mean 3.4 c.m and standard deviation 2.61 c.m. Is the
sample from a large population of mean 3.25 c.ms and standard deviation of
2.61c.ms?(Test at 5% L.O.S) (8)
(b) Before an increase in excise duty on tea, 800 persons out of a sample of 1000 persons
were found to be tea drinkers. After an increase in duty, 800 people were tea drinkers in a
sample of 1200 people. Using standard error of proportion, State whether there is a
significant decrease in the consumption of tea after the increase in excise duty. (8)
2. (a) A manufacturer claimed that atleast 95% of the equipment which he supplied to a factory
conformed to specifications. An examination of a sample of 200 pieces of equipment
revealed that 18 were faulty. Test his claim at 5% level of significance. (8)
(b) A machine produces 16 imperfect articles in a sample of 500. After machine is overhauled,
it produces 3 imperfect articles in a batch of 100. Has the machine been improved? (8)
3. (a) In a big city 325 men out of 600 men were found to be smokers. Does this information
support the conclusion that the majority of men in this city are smokers? (8)
(b) Examine whether the difference in the variability in yields is significant at 5% L.O.S, for the following.
UNIT – II
PART – A(2 Marks)
1. What is the aim of the design of experiments?
2. Write the basic assumptions in analysis of variance.
3. When do you apply analysis of variance technique?
4. Define Randomization.
5. Define Replication.
6. Define Local control.
7. What is meant by tolerance limits?
8. What are the advantages of a completely randomized design.
9. What are the advantages of a Latin square design?
10. What are the advantages of a Completely Randomized Experimental Design?
11. What is the purpose of blocking in a randomized block design?
12. What are the Basic principles of experimental design?
13. Why a 2 x 2 Latin square is not possible? Explain.
14. Write the advantages of the Latin square design over the other design.
15. What is main advantage of Latin square Design over Randomized Block Design?
16. Write any two differences between RBD and LSD
17. What is ANOVA?
18. Write down the format the ANOVA table for one factors of classification.
19. Write down the format the ANOVA table for two factors of classification.
20. Write down the ANOVA table for Latin square.
(or) Write down the format the ANOVA table for three factors of classification.

