Define mean, Median and Mode. Comment: Median can express data efficiently then mean when data are not normally distributed.
[6 marks]Calculate average particle size from given data. Particle size (µ) 8 9 10 11 12 13 No. of Particles 12 21 35 42 29 11
[3 marks]Enlist types of frequency distribution. Explain any one in detail.
[5 marks]Explain correlation with a suitable example.
[6 marks]Discuss method of least squares. Give its applications and limitations.
[5 marks]Differentiate: Normal Distribution and Poisson’s Distribution.
[5 marks]Define null hypothesis. Discuss types of error.
[6 marks]Explain terms: i) Standard Error of Mean ii) Population
[5 marks]Calculate Standard deviation and Standard Error for given data of tablet crushing strengths: 8, 6, 7, 8, 9, 8, 6, 8, 7, 8, 7, 9, 6, 7, 9,
[7 marks]Explain probability with example of tossig 3 coins and probability of all possible occurances.
[6 marks]Data of heart rate before and after exercise are given below. Using t-test state whether exercise has any effect on heart rate or not? Heart Before 71 75 73 71 73 74 72 75 73 Rate After 78 81 80 79 77 82 83 81 78 ( t = 2.11, t = 2.10, t = 2.30, t = 2.26) (0.05, 17) (0.05, 18) (0.05, 9) (0.05, 9)
[5 marks]Differentiate One Way ANOVA and Two Way ANOVA
[5 marks]Give your Comments:
[6 marks]t-calculated must always be greater than t-tabulated for acceptable results of an experiment ii) Rejecting null hypothesis shows failure of experiment in parametric tests.
[ marks]Compare Parametric tests and Non Parametric tests.
[5 marks]Data for smoking and blood pressure are given below. Check whether both are associated with each other or not. Non Moderate Chain Smokers Smoker Smokers High Blood Pressure 95 111 126 No High Blood Pressure 55 39 24 χ2 = 11.1 χ2 = 5.99 χ2 = 3.84 χ2 = 12.6 (5, 0.05) (2, 0.05) (1, 0.05) (6, 0.05) Page 1 of Q. 6 (a) Explain Pie Charts, Histogram and Contour Plots in brief.
[6 marks]Discuss confounding with reference to fractional factorial designs.
[5 marks]Write a note on Full factorial designs.
[5 marks]What are rotatable designs? Discuss central composite designs.
[6 marks]Write a note on cohort studies.
[5 marks]Derive model for given data of 22 full factorial design. X X Y12 1 -1 -1 2 1 -1 13 3 -1 1 Page 2 of
[2 marks]