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Download GTU B.Tech 2020 Winter 5th Sem 3150409 Biostatistics Question Paper

Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Winter 5th Sem 3150409 Biostatistics Previous Question Paper

This post was last modified on 04 March 2021

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OU B.Com, BA, B.sc And BBA Languages English, Hindi, Telugu and Urdu 2021 Important Question Bank || Osmania University (Important Questions)


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GUJARAT TECHNOLOGICAL UNIVERSITY
BE- SEMESTER-V (NEW) EXAMINATION - WINTER 2020

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Subject Code:3150409 Date:22/01/2021
Subject Name:Biostatistics
Time:10:30 AM TO 12:30 PM Total Marks: 56

Instructions:

  1. Attempt any FOUR questions out of EIGHT questions.

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  2. Make suitable assumptions wherever necessary.
  3. Figures to the right indicate full marks.
  4. Notations used in this paper have conventional meaning and need no clarifications.
  5. All necessary tables and values are given in this question paper itself

MARKS

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  1. (a) What is descriptive biostatistics? 03
    (b) Explain the terms: geometric mean and harmonic mean. 04
    (c) Find the mean from the following data: 07
    Marks (x) 15 20 30 45 25
    No. of student (f) 5 7 9 8 6
  2. (a) Calculate the mode for the data given: 100, 97, 110, 200, 75, 120, 150. 03

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    (b) Calculate mode on the basis of simple frequency distribution of a variable: 04
    Variable(x) (Number of bacterial colonies) 1 2 3 4 5 6 7
    Frequency(f) (Plates) 1 4 12 19 12 1 1
    (c) The mean age of 80 students is 16 years and the mean age of another group of 20 students is 20 years. Find out the mean age of all the 100-student combined together. 07
  3. (a) Give the difference between correlation and regression. 03
    (b) What is a relation between Mean, Median and Mode? 04
    (c) Calculate Mean Deviation: 07

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    Class Interval 0-4 4-8 8-12 12-16 16-20
    Frequency 8 16 4 2 5
  4. (a) Write down the assumption of ANOVA. 03
    (b) When to use standard deviation and mean deviation? 04
    (c) Calculate standard deviation of the following data: 07
    Class Interval 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
    No. of fields 5 13 20 32 60 80 90 100

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  5. (a) Explain Poisson’s distribution. 03
    (b) A bag 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? 04
    (c) Find the correlation between mid term score (x) and final score (y). 07
    x 82 81 80 68 70 92 76 80 86 62
    y 94 92 85 75 73 95 69 86 90 69
  6. (a) Write the assumptions of t-test. 03

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    (b) Suppose 5% of men and 0.25% of women have grey hair. A grey hair person is selected what is the probability that he is a male? Assume equal probability for men and women. 04
    (c) Find the Rank of correlation between Price and Supply by karl-pearson method. 07
    Price 10 12 18 16 15 19 18 17
    Supply 30 35 45 44 42 48 47 46
  7. (a) What is positive skewness and negative skewness? 03
    (b) A sample 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. 04

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    (c) 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. 07
  8. Perform LSD for the following data. 14
    A B C D
    23 25 20 19
    19 18 21 17
    14 19 19
    15 21 20

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Selected values of normal distributions

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Level of significance 0.10 0.05 0.02 0.01 0.001
Z value- two tailed test 1.645 1.96 2.326 2.576 3.291
Z value- one tailed test 1.282 1.645 2.054 2.326 3.090

Table : Values of F at the 5% Significance Level

DoF- denominator DoF- numerator 1 2 3 4 5 6 7 8 9
1 161 200 216 225 230 234 237 239 241
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 F at The 1% Significance Level

DoF-denominator DoF- numerator 1 2 3 4 5 6 7 8 9
1 4052 5000 5403 5625 5764 5859 5928 5982 6022
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 2.72

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Table value of “t” at different degrees of freedom on P=0.05 and 0.01 level

P 0.05 0.01
v
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 2.338

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Table: Distribution of x2 corresponding to different levels of significance

Degree of freedom(df) Probability (P) 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 59.70

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This download link is referred from the post: OU B.Com, BA, B.sc And BBA Languages English, Hindi, Telugu and Urdu 2021 Important Question Bank || Osmania University (Important Questions)

This post was last modified on 04 March 2021