What is descriptive biostatistics?
[3 marks]Explain the terms: geometric mean and harmonic mean.
[4 marks]07 Find the mean from the following data: Marks (x) 15 5 20 10 20 30 45 25 No. of 5 7 9 10 8 6 3 student (f)
[2 marks]Calculate the mode for the data given: 100, 97, 110, 200, 75, 120, 150.
[3 marks]Calculate mode on the basis of simple frequency distribution of a variable: Variable(x) 1 2 3 4 5 6 (Number of bacterial colonies) Frequency(f) (Plates) 1 4 12 9 2 1 1
[7 marks]The mean age of 80 students is 16 years and the mean age of another group of students is 20 years. Find out the mean age of all the 100-student combined together.
[7 marks]Give the difference between correlation and regression.
[3 marks]What is a relation between Mean, Median and Mode?
[4 marks]Calculate Mean Deviation: Class Interval 0-4 4-8 8-12 12-16 16-20 Frequency 8 6 4 2
[5 marks]Write down the assumption of ANOVA.
[3 marks]When to use standard deviation and mean deviation?1
[4 marks]07 Calculate standard deviation of the following data: Class 0- 10- 20- 30- 40- 50- 60- 70- Interval No. of 5 13 20 32 60 80 90 100 fields „f‟
[ marks]Explain Poisson’s distribution.
[3 marks]Abag contains 4 balls two balls are drawn at random without replacement and found to be white. What is the probability that all balls are white?
[4 marks]Find the correlation between mid term score (x) and final score (y). x 82 81 80 68 70 92 76 80 86 62 y 94 92 85 75 73 95 69 86 90 69
[7 marks]Write the assumptions of t-test.
[3 marks]Suppose 5% 0f men and 0.25% of women have grey hair. Agrey hair person is selected what is the probability that he is a male? Assume equal probabilityfor men and women.
[4 marks]Find the Rank of correlation between Price and Supply by karl-pearson method. Price 10 12 18 16 15 19 18 17 Supply 30 35 45 44 42 48 47 46
[7 marks]What is positive skewness and negative skewness?
[3 marks]Asample of 400 male students is found to have a mean height 67.47 inches. Can it be reasonably regarded as a sample from a large population with mean height 67.39 inches and standard deviation 1.30 inches? Test at 5% level significance.
[4 marks]In a certain sample of 2000 families 1400 families consume tea. Out of 1800 Hindu families 1236 families consume tea. Use chi square test to find the association between consumption of tea and family types.
[7 marks]Perform LSD for the following data. C 25 B 23 A 20 D A 19 D 19 C 21 B 18 B 19 A 14 D 17 C D 17 C 20 B 21 A Selected values of normal distributions Level of significance Zvalue- two tailed test Zvalue- one tailed test 0.10 1.645 1.282 0.05 1.96 1.645 0.02 2.326 2.054 0.01 2.576 2.326 0.001 3.291 3.090 Table : Values of Fat the 5% Significance Level DoF- numerator DoF- denominator 2 18.50 19.00 19.20 19.20 19.30 19.30 19.40 19.40 19.40 3 10.10 9.55 9.28 9.12 9.01 8.94 8.89 8.85 8.81 4 7.71 6.40 6.59 6.39 6.26 6.16 6.09 6.04 6.00 6 5.99 5.14 4.76 4.53 4.39 4.28 4.21 4.15 4.10 8 5.32 4.46 4.07 3.84 3.69 3.58 3.50 3.44 3.39 10 4.96 4.10 3.71 3.48 3.33 3.22 3.14 3.07 3.02 12 4.75 3.89 3.49 3.26 3.11 3.00 2.91 2.85 2.80. 14 4.60 3.74 3.34 3.11 2.96 2.85 2.76 2.70 2.65 16 4.49 3.63 3.24 3.01 2.85 2.74 2.66 2.59 2.54 18 4.41 3.55 3.16 2.93 2.77 2.66 2.58 2.51 2.46 20 4.35 3.49 3.10 2.87 2.71 2.60 2.51 2.45 2.39 30 4.17 3.32 2.92 2.69 2.53 2.42 2.33 2.27 2.21 40 4.08 3.23 2.84 2.61 2.45 2.34 2.25 2.18 2.12 60 4.00 3.15 2.76 2.53 2.37 2.25 2.17 2.10 2.04 Table: Values of Fat The 1% Significance Level DoF- numerator DoF-denominator 2 98.50 99.90 99.20 99.20 99.30 99.30 99.40 99.40 99.40 3 34.10 30.80 29.50 28.70 28.20 27.09 27.70 27.50 27.30 4 21.20 18.00 16.70 16.00 15.50 15.20 15.00 14.80 14.70 6 13.70 10.90 9.78 9.15 8.75 8.47 8.26 8.10 7.98 8 11.30 8.65 7.59 7.01 6.63 6.37 6.18 6.03 5.91 10 10.00 7.56 6.55 5.99 5.64 5.39 5.20 5.06 4.94 12 9.33 6.93 5.95 5.41 5.06 4.82 4.64 4.50 4.39 14 8.86 6.51 5.56 5.04 4.70 4.46 4.28 4.14 4.03 16 8.53 6.23 5.29 4.77 4.44 4.20 4.03 3.89 3.783 18 8.29 6.01 5.09 4.58 4.25 4.01 3.84 3.71 3.60 20 8.10 5.85 4.94 4.43 4.10 3.87 3.70 3.56 3.46 30 7.56 5.39 4.51 4.02 3.70 3.47 3.30 3.17 3.07 40 7.31 5.18 4.31 3.83 3.51 3.29 3.12 2.99 2.89 60 7.08 4.98 4.13 3.65 3.34 3.12 2.95 2.82 2.724 Table value of “t” at different degrees of freedom on P=0.05 and 0.01 level P V 0.05 0.01 1 6.314 31.821 2 2.920 6.965 3 2.353 4.541 4 2.132 3.747 5 2.015 3.365 6 1.943 3.143 7 1.895 2.998 8 1.860 2.896 9 1.833 2.821 10 1.812 2.764 11 1.796 2.718 12 1.782 2.681 13 1.771 2.650 14 1.761 2.624 15 1.753 2.602 16 1.746 2.583 17 1.740 2.567 18 1.734 2.552 19 1.729 2.541 20 1.725 2.528 21 1.721 2.518 22 1.717 2.508 23 1.714 2.500 24 1.711 2.492 25 1.708 .2.485 26 1.706 2.479 27 1.703 2.463 28 1.701 2.467 29 1.699 2.462 30 1.697 2.457 40 1.684 2.423 60 1.671 2.390 120 1.658 2.3385 Table: Distribution of χ2 corresponding to different levels of significance Probability (P) Degree of freedom(df) 0.05 0.01 0.001 1 3.84 6.64 10.83 2 5.99 9.21 13.82 3 7.82 11.35 16.27 4 9.49 13.29 18.47 5 11.07 15.09 20.52 6 12.59 16.81 22.46 7 14.07 18.48 24.32 8 15.51 20.09 26.13 9 16.92 21.67 27.88 10 18.31 23.21 29.59 11 19.68 24.73 31.26 12 21.03 26.22 32.91 13 22.36 27.69 34.53 14 23.69 29.14 36.12 15 25.00 30.58 37.70 16 26.30 32.00 39.25 17 27.59 33.41 40.79 18 28.87 34.81 42.31 19 30.14 36.19 43.82 20 31.41 37.57 45.32 21 32.67 38.93 46.80 22 33.92 40.29 48.27 23 35.17 41.64 49.73 24 36.42 42.98 51.18 25 37.65 44.31 52.62 26 38.89 45.64 54.05 27 40.11 46.96 55.48 28 41.34 48.28 56.89 29 42.56 49.59 58.30 30 43.77 50.89 59.706
