Download PTU. I.K. Gujral Punjab Technical University (IKGPTU) M.Tech. Bio Tech 1st Semester 23007 BIOSTATISTICS Question Paper.

Roll No. Total No. of Pages : 02

Total No. of Questions : 08

M.Tech.(Bio Tech.) (Sem.?1)

BIOSTATISTICS

Subject Code : MTBT-107

M.Code : 23007

Time : 3 Hrs. Max. Marks : 100

INSTRUCTION TO CANDIDATES :

1. Attempt any FIVE questions out of EIGHT questions.

2. Each question carries TWENTY marks.

1. a) Briefly describe the inclusion and exclusion rule of probability. 10

b) One rupee coin is tossed twice. Similarly another two rupee coin is tossed thrice.

What are the probabilities of getting heads in one rupee and two rupee coins which

are tossed twice and thrice? 10

2. a) Briefly describe how the data can be presented in different forms? 8

b) What is coefficient of variation? The mean and SD of 10 observations were found to

be 65 and 8 respectively. Later on it was found that one number 70 was taken instead

of 17. Find the correct mean and SD. 7

c) What is normal curve? Briefly describe the properties of normal curve. 5

3. a) What is skewness and kurtosis? Mention their importance. 10

b) A sample of 600 factory workers has a mean PEFR 204 L/min. and SD of 46.3. Can

we assume that this sample is from a large population with a mean of 216 L/min. and

SD of 46.3? 5

c) What is paired and unpaired ?t? test? Mention their importance. 5

4. a) The weight gain (in pounds) of experimental animal fed on diet A and diet B are

given below. Test whether the two diets differ significantly as regards to their effect

on increase in weight of experimental animals. 10

Diet A: 25, 32, 30, 34, 24,14, 32, 24, 30, 31, 35, 25 (n=12)

Diet B: 44, 22, 10, 47, 31, 40, 30, 32, 35,18, 21, 35, 29, 22, 20 (n=15)

b) A cancer screening test was carried out by a team of oncologists and a total of 300

people were screened for oral cancer. The findings were: oral cancer is present in 100,

under whom 20 gave the history of chewing tobacco; 200 people were without oral

cancer, under whom 110 gave the history of chewing tobacco. Test whether oral

cancer and tobacco chewing are associated or not? (use

2

? test). 10

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1 | M-23007 (S9)-1857

Roll No. Total No. of Pages : 02

Total No. of Questions : 08

M.Tech.(Bio Tech.) (Sem.?1)

BIOSTATISTICS

Subject Code : MTBT-107

M.Code : 23007

Time : 3 Hrs. Max. Marks : 100

INSTRUCTION TO CANDIDATES :

1. Attempt any FIVE questions out of EIGHT questions.

2. Each question carries TWENTY marks.

1. a) Briefly describe the inclusion and exclusion rule of probability. 10

b) One rupee coin is tossed twice. Similarly another two rupee coin is tossed thrice.

What are the probabilities of getting heads in one rupee and two rupee coins which

are tossed twice and thrice? 10

2. a) Briefly describe how the data can be presented in different forms? 8

b) What is coefficient of variation? The mean and SD of 10 observations were found to

be 65 and 8 respectively. Later on it was found that one number 70 was taken instead

of 17. Find the correct mean and SD. 7

c) What is normal curve? Briefly describe the properties of normal curve. 5

3. a) What is skewness and kurtosis? Mention their importance. 10

b) A sample of 600 factory workers has a mean PEFR 204 L/min. and SD of 46.3. Can

we assume that this sample is from a large population with a mean of 216 L/min. and

SD of 46.3? 5

c) What is paired and unpaired ?t? test? Mention their importance. 5

4. a) The weight gain (in pounds) of experimental animal fed on diet A and diet B are

given below. Test whether the two diets differ significantly as regards to their effect

on increase in weight of experimental animals. 10

Diet A: 25, 32, 30, 34, 24,14, 32, 24, 30, 31, 35, 25 (n=12)

Diet B: 44, 22, 10, 47, 31, 40, 30, 32, 35,18, 21, 35, 29, 22, 20 (n=15)

b) A cancer screening test was carried out by a team of oncologists and a total of 300

people were screened for oral cancer. The findings were: oral cancer is present in 100,

under whom 20 gave the history of chewing tobacco; 200 people were without oral

cancer, under whom 110 gave the history of chewing tobacco. Test whether oral

cancer and tobacco chewing are associated or not? (use

2

? test). 10

2 | M-23007 (S9)-1857

Chewing

tobacco

No chewing

tobacco

Total

Oral cancer 20 80 100

No oral cancer 110 90 200

Total 130 170 300

5. a) What do you understand by linear regression? Explain the method of fitting the line

y = a + bx using the method of least squares. 5

b) Find out the regression equation of y on x for the heights of sons and fathers. 15

Fathers (X) 65, 63, 67, 64, 68, 62, 70, 66, 68, 67, 69, 71

Sons (Y) 68, 66, 68, 65, 69, 66, 68, 65, 71, 67, 68, 70

6. a) Briefly describe the importance of null hypothesis and alternate hypothesis. 5

b) Effect of vitamin B

12

on ionisability of iron was tested at four different

concentrations. The data is given below. Perform one-way ANOVA to test the

significant variation among the concentrations. 15

Conc. 1 Conc. 2 Conc.3 Conc.4

15.5 15.1 15.2 15.2

14.9 14.5 13.8 13.4

15.1 15.1 14.7 13.8

15.4 14.9 15.1 14.5

7. a) Briefly describe the differences between correlation and regression. 8

b) Discuss about the randomized block design and its importance in agriculture. 12

8. a) What is polynomial curve? Write a note on quadratic equation. 10

b) The scores of 6 pupils in two subjects: physics and chemistry are given below.

Calculate the coefficient of correlation by the rank difference method also called

Spearman rank correlation coefficient. 10

Students

Scores A B C D E F

Chemistry 45 53 67 40 35 50

physics 68 76 70 64 54 66

NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any

page of Answer Sheet will lead to UMC against the Student.

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This post was last modified on 13 December 2019