State the difference between standard and mean deviation.
[3 marks]Define: Kurtosis, Accuracy, precision, skewness
[4 marks]Calculate the Mean Deviation of the data: Class interval Frequency, f 1-10 11-20 11 21-30 31-40 41-50 51-60 0 61-70 71-80
[3 marks]What is Histogram and pie chart? What kind of data do they represent?
[3 marks]calculate the Z-score for the value of 12 in the following data set:
[4 marks]Find the mean of the following data. Class interval 0-10 10-20 20-30 30-40 40-50 50-60 f 42 44 58 35 26 25
[7 marks]Find out the standard deviation. Class 30-39 40-49 50-59 60-69 70-79 80-89 90-99 interval No. of 1 4 14 20 22 12 fields, f
[2 marks]Define Correlation and Regression.
[3 marks]By applying Binomial theorem, calculate the probability of having 2 male and female children in a family of 4.
[4 marks]Pulse rate of 50 persons is given below. Calculate the regression value. Pulse rate (x) 67 68 69 70 71 72 73 74 75 76 Persons(f) 4 5 3 2 7 10 11 3 2
[3 marks]What does level of significance indicate?
[3 marks]4 Samples were taken for protein content while analyzing for genetic studies, find out co- efficient of variants. Sr. No. 1 2 3 41 Protein 0.12 0.14 0.04 0.08 Conc.(µl)
[4 marks]Find the correlation between mid semester examination marks (x) and final examination marks (y). x 68 70 92 76 80 86 y 75 73 95 69 86 90
[7 marks]Define geometric mean and harmonic mean.
[3 marks]Calculate the arithmetic mean from the data given in the table. Number of Leaves Number of plants56
[4 marks]The mean produce of wheat of a sample of 100 fields in 200 lbs. per acre with a standard deviation of 10 lbs. Another samples of 150 fields gives the mean of 220 lbs. with a standard deviation of 12 lbs. Can the two samples be considered to have been taken from the same population whose standard deviation is 11 lbs.? Use 5% level of significance. (R:| z| > 1.96)
[7 marks]What are the properties of t-test?
[3 marks]Raju Restaurant near the railway station at Falana has been having average has been having average sales of 500 tea cups per day. Because of the development of bus stand nearby, it expects to increase its sales. During the first 12 days after the start of the bus stand, the daily sales were as under: 550, 570, 490, 615, 505, 580, 570, 460, 600, 580, 530, 526 Test the hypothesis that there is a increase in sales.
[4 marks]Test the effectiveness of Corona vaccine. attacked Not attcked Vaccinated 80 220 Not vaccinated 120 580
[7 marks]Enlist the non-parametric tests.
[3 marks]What is Poisson’s distribution?
[4 marks]Out of a sample of 120 persons in a village 76 were administered with new drug for preventing influenza and out of them 24 were attacked by influenza. Out of those who were not administered the new drug 12 were not affected by Influenza. Use Chi- square test to find the new drug was effective is not.
[7 marks]Perform RBD to check the effectiveness of methods to treat corona infection as done by different Hospitals. Hospitals Fortys Vokhardt Apolo Method 1 6 5 Method 2 7 5 Method 3 3 3 Method 4 8 7 42 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 3.78 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 2.723 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 2.3384 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 59.705
