Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 8th Sem New 2180403 Biostatistics Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VIII(NEW) EXAMINATION ? SUMMER 2019
Subject Code:2180403 Date:17/05/2019
Subject Name:Biostatistics
Time:10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. Necessary tables are given in the same paper at the end. Total 6 pages are printed
including tables.
MARKS
Q.1 Perform an analysis of variants for the data given as under.
Lyophilizer
A B C D E F
Rutul 6 5 6 7 4 3
Dinesh 9 7 8 3 2 8
Nathu 3 5 4 6 2 1
Mona 5 9 8 3 4 2
Koena 1 2 4 7 6 5
The data is given for five different lyophilizes for the same kind of
biological samples by performing individual experiments. The figure
corresponds to number of samples without contamination. Comment on
productivity.
03
Q.2 (a) Find the median of the data: 36, 28, 11, 5, 41, 86, 3 and 8. 03
(b) Differentiate between histogram, pie chart, bar chart and map diagram. 04
(c) A population of cats is known to have 160 heart beats per minute. When
13 cats were each fed on a fixed quantity of a drug and data taken on
their beats, the mean X =147 with S=27.5. Find if there is a change in
heart beat due to drug.
07
OR
(c) In pharmacological experiments, six mice were injected with 0.5 mg of
medicine. They had taken on an average 15.4 seconds to fall asleep with
an unbiased standard deviation 2.2 seconds. While six other mice
injected with 1.5 mg of the medicine, took on an average 11.2 seconds to
fall asleep with an unbiased standard deviation of 2.6 seconds. Use the
5% level of significance to test the null hypothesis that the difference in
dosage has no effect.
07
Q.3 (a) Differentiate between Geometric mean and harmonic mean. 03
(b) The mean age of 40 students is 16 years and the mean age of another
group of 60 students is 20 years. Find out the mean age of all 100
students combined together.
04
(c) Data recorded in length of carrots (cms). Calculate the standard 07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VIII(NEW) EXAMINATION ? SUMMER 2019
Subject Code:2180403 Date:17/05/2019
Subject Name:Biostatistics
Time:10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. Necessary tables are given in the same paper at the end. Total 6 pages are printed
including tables.
MARKS
Q.1 Perform an analysis of variants for the data given as under.
Lyophilizer
A B C D E F
Rutul 6 5 6 7 4 3
Dinesh 9 7 8 3 2 8
Nathu 3 5 4 6 2 1
Mona 5 9 8 3 4 2
Koena 1 2 4 7 6 5
The data is given for five different lyophilizes for the same kind of
biological samples by performing individual experiments. The figure
corresponds to number of samples without contamination. Comment on
productivity.
03
Q.2 (a) Find the median of the data: 36, 28, 11, 5, 41, 86, 3 and 8. 03
(b) Differentiate between histogram, pie chart, bar chart and map diagram. 04
(c) A population of cats is known to have 160 heart beats per minute. When
13 cats were each fed on a fixed quantity of a drug and data taken on
their beats, the mean X =147 with S=27.5. Find if there is a change in
heart beat due to drug.
07
OR
(c) In pharmacological experiments, six mice were injected with 0.5 mg of
medicine. They had taken on an average 15.4 seconds to fall asleep with
an unbiased standard deviation 2.2 seconds. While six other mice
injected with 1.5 mg of the medicine, took on an average 11.2 seconds to
fall asleep with an unbiased standard deviation of 2.6 seconds. Use the
5% level of significance to test the null hypothesis that the difference in
dosage has no effect.
07
Q.3 (a) Differentiate between Geometric mean and harmonic mean. 03
(b) The mean age of 40 students is 16 years and the mean age of another
group of 60 students is 20 years. Find out the mean age of all 100
students combined together.
04
(c) Data recorded in length of carrots (cms). Calculate the standard 07
2
deviations from mean and median both.
Lengths (cms) = 9.2, 9.6, 10.0, 11.0, 12.0, 9.8, 10.2, 9.7, 12.7, 10.6
OR
Q.3 (a) Define: inferential biostatistics and descriptive biostatistics 03
(b) What are the scopes of biostatistics? 04
(c) The data recorded on the number of chlorophyll deficient plants in a
lentil population are given below. Calculate the arithmetic mean.
Number of
chlorophyll
Deficient
plants
0 1 2 3 4 5
Number of
plants
34 14 20 24 25 33
07
Q.4 (a) Write steps for chi-square test. 03
(b) Find the average rate of increase in tiger population which in first decade
had increased by 20%, in the second decade by 30% and in the third by
40%.
Decade 1 2 3
Rate of increase in 20% 30% 40%
tiger?s population
04
(c) A survey of 320 families with 5 children in each family provides
following data:
No. of families No. of Boys No. of Girls
14 5 0
56 4 1
110 3 2
88 2 3
40 1 4
12 0 5
320 17 15
Dose this data supports the hypothesis that there is equal probability of
male and female births?
07
OR
Q.4 (a) Define: probability, skewness, kurtosis. 03
(b) Calculate percentile for value 12 from the following data:
13, 11, 10, 13, 11, 10, 8, 12, 9, 9, 8, 9.
04
(c) Fit a second degree parabola to the following data.
X 1.5 2.0 2.5 30 3.5 4.0
Y 1.3 1.6 2.0 2.7 3.4 4.1
07
FirstRanker.com - FirstRanker's Choice
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VIII(NEW) EXAMINATION ? SUMMER 2019
Subject Code:2180403 Date:17/05/2019
Subject Name:Biostatistics
Time:10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. Necessary tables are given in the same paper at the end. Total 6 pages are printed
including tables.
MARKS
Q.1 Perform an analysis of variants for the data given as under.
Lyophilizer
A B C D E F
Rutul 6 5 6 7 4 3
Dinesh 9 7 8 3 2 8
Nathu 3 5 4 6 2 1
Mona 5 9 8 3 4 2
Koena 1 2 4 7 6 5
The data is given for five different lyophilizes for the same kind of
biological samples by performing individual experiments. The figure
corresponds to number of samples without contamination. Comment on
productivity.
03
Q.2 (a) Find the median of the data: 36, 28, 11, 5, 41, 86, 3 and 8. 03
(b) Differentiate between histogram, pie chart, bar chart and map diagram. 04
(c) A population of cats is known to have 160 heart beats per minute. When
13 cats were each fed on a fixed quantity of a drug and data taken on
their beats, the mean X =147 with S=27.5. Find if there is a change in
heart beat due to drug.
07
OR
(c) In pharmacological experiments, six mice were injected with 0.5 mg of
medicine. They had taken on an average 15.4 seconds to fall asleep with
an unbiased standard deviation 2.2 seconds. While six other mice
injected with 1.5 mg of the medicine, took on an average 11.2 seconds to
fall asleep with an unbiased standard deviation of 2.6 seconds. Use the
5% level of significance to test the null hypothesis that the difference in
dosage has no effect.
07
Q.3 (a) Differentiate between Geometric mean and harmonic mean. 03
(b) The mean age of 40 students is 16 years and the mean age of another
group of 60 students is 20 years. Find out the mean age of all 100
students combined together.
04
(c) Data recorded in length of carrots (cms). Calculate the standard 07
2
deviations from mean and median both.
Lengths (cms) = 9.2, 9.6, 10.0, 11.0, 12.0, 9.8, 10.2, 9.7, 12.7, 10.6
OR
Q.3 (a) Define: inferential biostatistics and descriptive biostatistics 03
(b) What are the scopes of biostatistics? 04
(c) The data recorded on the number of chlorophyll deficient plants in a
lentil population are given below. Calculate the arithmetic mean.
Number of
chlorophyll
Deficient
plants
0 1 2 3 4 5
Number of
plants
34 14 20 24 25 33
07
Q.4 (a) Write steps for chi-square test. 03
(b) Find the average rate of increase in tiger population which in first decade
had increased by 20%, in the second decade by 30% and in the third by
40%.
Decade 1 2 3
Rate of increase in 20% 30% 40%
tiger?s population
04
(c) A survey of 320 families with 5 children in each family provides
following data:
No. of families No. of Boys No. of Girls
14 5 0
56 4 1
110 3 2
88 2 3
40 1 4
12 0 5
320 17 15
Dose this data supports the hypothesis that there is equal probability of
male and female births?
07
OR
Q.4 (a) Define: probability, skewness, kurtosis. 03
(b) Calculate percentile for value 12 from the following data:
13, 11, 10, 13, 11, 10, 8, 12, 9, 9, 8, 9.
04
(c) Fit a second degree parabola to the following data.
X 1.5 2.0 2.5 30 3.5 4.0
Y 1.3 1.6 2.0 2.7 3.4 4.1
07
3
Q.5
(a)
What is type-I and type-II error?
03
(b) Calculate the mean deviations for numbers of patients visited a doctor in
10 days for blood glucose test.
27, 22, 20, 30, 31, 32, 35, 40, 45, 48.
04
(c) Calculate mean and variance of the data set given.
Class
Interval
31-
35
36-
40
41-
45
46-
50
51-
55
56-
60
61-
65
66-
70
No. of fields
?f?
2 3 8 12 16 5 2 2
07
OR
Q.5 (a) Write down limitations of statistical methods. 03
(b) Hb% of patients of a waved was recorded as 7,8,9,10,11,12,13,14.5,15
and 15.5 g/100 ml. Find out the variance of data.
04
(c) In an ontological examination of schoolchildren, out of 146 children
examined 21 were found to have some type of ontological abnormalities.
Does it confirm with the statement that 20% of the schoolchildren have
ontological abnormalities?
07
*************
FirstRanker.com - FirstRanker's Choice
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VIII(NEW) EXAMINATION ? SUMMER 2019
Subject Code:2180403 Date:17/05/2019
Subject Name:Biostatistics
Time:10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. Necessary tables are given in the same paper at the end. Total 6 pages are printed
including tables.
MARKS
Q.1 Perform an analysis of variants for the data given as under.
Lyophilizer
A B C D E F
Rutul 6 5 6 7 4 3
Dinesh 9 7 8 3 2 8
Nathu 3 5 4 6 2 1
Mona 5 9 8 3 4 2
Koena 1 2 4 7 6 5
The data is given for five different lyophilizes for the same kind of
biological samples by performing individual experiments. The figure
corresponds to number of samples without contamination. Comment on
productivity.
03
Q.2 (a) Find the median of the data: 36, 28, 11, 5, 41, 86, 3 and 8. 03
(b) Differentiate between histogram, pie chart, bar chart and map diagram. 04
(c) A population of cats is known to have 160 heart beats per minute. When
13 cats were each fed on a fixed quantity of a drug and data taken on
their beats, the mean X =147 with S=27.5. Find if there is a change in
heart beat due to drug.
07
OR
(c) In pharmacological experiments, six mice were injected with 0.5 mg of
medicine. They had taken on an average 15.4 seconds to fall asleep with
an unbiased standard deviation 2.2 seconds. While six other mice
injected with 1.5 mg of the medicine, took on an average 11.2 seconds to
fall asleep with an unbiased standard deviation of 2.6 seconds. Use the
5% level of significance to test the null hypothesis that the difference in
dosage has no effect.
07
Q.3 (a) Differentiate between Geometric mean and harmonic mean. 03
(b) The mean age of 40 students is 16 years and the mean age of another
group of 60 students is 20 years. Find out the mean age of all 100
students combined together.
04
(c) Data recorded in length of carrots (cms). Calculate the standard 07
2
deviations from mean and median both.
Lengths (cms) = 9.2, 9.6, 10.0, 11.0, 12.0, 9.8, 10.2, 9.7, 12.7, 10.6
OR
Q.3 (a) Define: inferential biostatistics and descriptive biostatistics 03
(b) What are the scopes of biostatistics? 04
(c) The data recorded on the number of chlorophyll deficient plants in a
lentil population are given below. Calculate the arithmetic mean.
Number of
chlorophyll
Deficient
plants
0 1 2 3 4 5
Number of
plants
34 14 20 24 25 33
07
Q.4 (a) Write steps for chi-square test. 03
(b) Find the average rate of increase in tiger population which in first decade
had increased by 20%, in the second decade by 30% and in the third by
40%.
Decade 1 2 3
Rate of increase in 20% 30% 40%
tiger?s population
04
(c) A survey of 320 families with 5 children in each family provides
following data:
No. of families No. of Boys No. of Girls
14 5 0
56 4 1
110 3 2
88 2 3
40 1 4
12 0 5
320 17 15
Dose this data supports the hypothesis that there is equal probability of
male and female births?
07
OR
Q.4 (a) Define: probability, skewness, kurtosis. 03
(b) Calculate percentile for value 12 from the following data:
13, 11, 10, 13, 11, 10, 8, 12, 9, 9, 8, 9.
04
(c) Fit a second degree parabola to the following data.
X 1.5 2.0 2.5 30 3.5 4.0
Y 1.3 1.6 2.0 2.7 3.4 4.1
07
3
Q.5
(a)
What is type-I and type-II error?
03
(b) Calculate the mean deviations for numbers of patients visited a doctor in
10 days for blood glucose test.
27, 22, 20, 30, 31, 32, 35, 40, 45, 48.
04
(c) Calculate mean and variance of the data set given.
Class
Interval
31-
35
36-
40
41-
45
46-
50
51-
55
56-
60
61-
65
66-
70
No. of fields
?f?
2 3 8 12 16 5 2 2
07
OR
Q.5 (a) Write down limitations of statistical methods. 03
(b) Hb% of patients of a waved was recorded as 7,8,9,10,11,12,13,14.5,15
and 15.5 g/100 ml. Find out the variance of data.
04
(c) In an ontological examination of schoolchildren, out of 146 children
examined 21 were found to have some type of ontological abnormalities.
Does it confirm with the statement that 20% of the schoolchildren have
ontological abnormalities?
07
*************
4
Selected values of normal distributions
Level of significance Z value- two tailed test Z value- 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 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
FirstRanker.com - FirstRanker's Choice
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VIII(NEW) EXAMINATION ? SUMMER 2019
Subject Code:2180403 Date:17/05/2019
Subject Name:Biostatistics
Time:10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. Necessary tables are given in the same paper at the end. Total 6 pages are printed
including tables.
MARKS
Q.1 Perform an analysis of variants for the data given as under.
Lyophilizer
A B C D E F
Rutul 6 5 6 7 4 3
Dinesh 9 7 8 3 2 8
Nathu 3 5 4 6 2 1
Mona 5 9 8 3 4 2
Koena 1 2 4 7 6 5
The data is given for five different lyophilizes for the same kind of
biological samples by performing individual experiments. The figure
corresponds to number of samples without contamination. Comment on
productivity.
03
Q.2 (a) Find the median of the data: 36, 28, 11, 5, 41, 86, 3 and 8. 03
(b) Differentiate between histogram, pie chart, bar chart and map diagram. 04
(c) A population of cats is known to have 160 heart beats per minute. When
13 cats were each fed on a fixed quantity of a drug and data taken on
their beats, the mean X =147 with S=27.5. Find if there is a change in
heart beat due to drug.
07
OR
(c) In pharmacological experiments, six mice were injected with 0.5 mg of
medicine. They had taken on an average 15.4 seconds to fall asleep with
an unbiased standard deviation 2.2 seconds. While six other mice
injected with 1.5 mg of the medicine, took on an average 11.2 seconds to
fall asleep with an unbiased standard deviation of 2.6 seconds. Use the
5% level of significance to test the null hypothesis that the difference in
dosage has no effect.
07
Q.3 (a) Differentiate between Geometric mean and harmonic mean. 03
(b) The mean age of 40 students is 16 years and the mean age of another
group of 60 students is 20 years. Find out the mean age of all 100
students combined together.
04
(c) Data recorded in length of carrots (cms). Calculate the standard 07
2
deviations from mean and median both.
Lengths (cms) = 9.2, 9.6, 10.0, 11.0, 12.0, 9.8, 10.2, 9.7, 12.7, 10.6
OR
Q.3 (a) Define: inferential biostatistics and descriptive biostatistics 03
(b) What are the scopes of biostatistics? 04
(c) The data recorded on the number of chlorophyll deficient plants in a
lentil population are given below. Calculate the arithmetic mean.
Number of
chlorophyll
Deficient
plants
0 1 2 3 4 5
Number of
plants
34 14 20 24 25 33
07
Q.4 (a) Write steps for chi-square test. 03
(b) Find the average rate of increase in tiger population which in first decade
had increased by 20%, in the second decade by 30% and in the third by
40%.
Decade 1 2 3
Rate of increase in 20% 30% 40%
tiger?s population
04
(c) A survey of 320 families with 5 children in each family provides
following data:
No. of families No. of Boys No. of Girls
14 5 0
56 4 1
110 3 2
88 2 3
40 1 4
12 0 5
320 17 15
Dose this data supports the hypothesis that there is equal probability of
male and female births?
07
OR
Q.4 (a) Define: probability, skewness, kurtosis. 03
(b) Calculate percentile for value 12 from the following data:
13, 11, 10, 13, 11, 10, 8, 12, 9, 9, 8, 9.
04
(c) Fit a second degree parabola to the following data.
X 1.5 2.0 2.5 30 3.5 4.0
Y 1.3 1.6 2.0 2.7 3.4 4.1
07
3
Q.5
(a)
What is type-I and type-II error?
03
(b) Calculate the mean deviations for numbers of patients visited a doctor in
10 days for blood glucose test.
27, 22, 20, 30, 31, 32, 35, 40, 45, 48.
04
(c) Calculate mean and variance of the data set given.
Class
Interval
31-
35
36-
40
41-
45
46-
50
51-
55
56-
60
61-
65
66-
70
No. of fields
?f?
2 3 8 12 16 5 2 2
07
OR
Q.5 (a) Write down limitations of statistical methods. 03
(b) Hb% of patients of a waved was recorded as 7,8,9,10,11,12,13,14.5,15
and 15.5 g/100 ml. Find out the variance of data.
04
(c) In an ontological examination of schoolchildren, out of 146 children
examined 21 were found to have some type of ontological abnormalities.
Does it confirm with the statement that 20% of the schoolchildren have
ontological abnormalities?
07
*************
4
Selected values of normal distributions
Level of significance Z value- two tailed test Z value- 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 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
5
Table value of ?t? at different degrees of freedom on P=0.05 and 0.01 level
V
P
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 2.338
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VIII(NEW) EXAMINATION ? SUMMER 2019
Subject Code:2180403 Date:17/05/2019
Subject Name:Biostatistics
Time:10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. Necessary tables are given in the same paper at the end. Total 6 pages are printed
including tables.
MARKS
Q.1 Perform an analysis of variants for the data given as under.
Lyophilizer
A B C D E F
Rutul 6 5 6 7 4 3
Dinesh 9 7 8 3 2 8
Nathu 3 5 4 6 2 1
Mona 5 9 8 3 4 2
Koena 1 2 4 7 6 5
The data is given for five different lyophilizes for the same kind of
biological samples by performing individual experiments. The figure
corresponds to number of samples without contamination. Comment on
productivity.
03
Q.2 (a) Find the median of the data: 36, 28, 11, 5, 41, 86, 3 and 8. 03
(b) Differentiate between histogram, pie chart, bar chart and map diagram. 04
(c) A population of cats is known to have 160 heart beats per minute. When
13 cats were each fed on a fixed quantity of a drug and data taken on
their beats, the mean X =147 with S=27.5. Find if there is a change in
heart beat due to drug.
07
OR
(c) In pharmacological experiments, six mice were injected with 0.5 mg of
medicine. They had taken on an average 15.4 seconds to fall asleep with
an unbiased standard deviation 2.2 seconds. While six other mice
injected with 1.5 mg of the medicine, took on an average 11.2 seconds to
fall asleep with an unbiased standard deviation of 2.6 seconds. Use the
5% level of significance to test the null hypothesis that the difference in
dosage has no effect.
07
Q.3 (a) Differentiate between Geometric mean and harmonic mean. 03
(b) The mean age of 40 students is 16 years and the mean age of another
group of 60 students is 20 years. Find out the mean age of all 100
students combined together.
04
(c) Data recorded in length of carrots (cms). Calculate the standard 07
2
deviations from mean and median both.
Lengths (cms) = 9.2, 9.6, 10.0, 11.0, 12.0, 9.8, 10.2, 9.7, 12.7, 10.6
OR
Q.3 (a) Define: inferential biostatistics and descriptive biostatistics 03
(b) What are the scopes of biostatistics? 04
(c) The data recorded on the number of chlorophyll deficient plants in a
lentil population are given below. Calculate the arithmetic mean.
Number of
chlorophyll
Deficient
plants
0 1 2 3 4 5
Number of
plants
34 14 20 24 25 33
07
Q.4 (a) Write steps for chi-square test. 03
(b) Find the average rate of increase in tiger population which in first decade
had increased by 20%, in the second decade by 30% and in the third by
40%.
Decade 1 2 3
Rate of increase in 20% 30% 40%
tiger?s population
04
(c) A survey of 320 families with 5 children in each family provides
following data:
No. of families No. of Boys No. of Girls
14 5 0
56 4 1
110 3 2
88 2 3
40 1 4
12 0 5
320 17 15
Dose this data supports the hypothesis that there is equal probability of
male and female births?
07
OR
Q.4 (a) Define: probability, skewness, kurtosis. 03
(b) Calculate percentile for value 12 from the following data:
13, 11, 10, 13, 11, 10, 8, 12, 9, 9, 8, 9.
04
(c) Fit a second degree parabola to the following data.
X 1.5 2.0 2.5 30 3.5 4.0
Y 1.3 1.6 2.0 2.7 3.4 4.1
07
3
Q.5
(a)
What is type-I and type-II error?
03
(b) Calculate the mean deviations for numbers of patients visited a doctor in
10 days for blood glucose test.
27, 22, 20, 30, 31, 32, 35, 40, 45, 48.
04
(c) Calculate mean and variance of the data set given.
Class
Interval
31-
35
36-
40
41-
45
46-
50
51-
55
56-
60
61-
65
66-
70
No. of fields
?f?
2 3 8 12 16 5 2 2
07
OR
Q.5 (a) Write down limitations of statistical methods. 03
(b) Hb% of patients of a waved was recorded as 7,8,9,10,11,12,13,14.5,15
and 15.5 g/100 ml. Find out the variance of data.
04
(c) In an ontological examination of schoolchildren, out of 146 children
examined 21 were found to have some type of ontological abnormalities.
Does it confirm with the statement that 20% of the schoolchildren have
ontological abnormalities?
07
*************
4
Selected values of normal distributions
Level of significance Z value- two tailed test Z value- 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 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
5
Table value of ?t? at different degrees of freedom on P=0.05 and 0.01 level
V
P
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 2.338
6
Table: Distribution of ?2 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 post was last modified on 20 February 2020