Fisheries Level-2 Semester-1 Statistics question
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HAJEE MOHAMMAD DANESH SCIENCE AND TECHNOLOGY UNIVERSITY, DINAR B. Sc. Fisheries (Hon's) Level-2 Semester-I (Jan-June) Semester Final Examinations-201 Course Title: Statistics (Theoretical) Course Code: STT205
The figures in the right margin indicate full marks USE SEPARATE SCRIPTS FOR EACH SECTION
Answer any three questions from each section
Time: 3 hours
SECTION-A
Marks
1. a) Define Statistics and write its significant roles in the field of agriculture. b) Identify the variables as a qualitative or quantitative, as a discrete or continuous,
measurement:
5
as a scale of 5
Various types of treatment, Weight of fish, Economical status of fisher, Body temperature of a fish and Pond size.
c) State the important sources of secondary data.
7
2. a) What do you mean by central tendency? Write the purposes of it. Describe different types central tendency with uses.
b) Mention the characteristics of an ideal measure of central tendency?
c) Calculate the mean and median of the following data set. What evidence is there for concluding that the data are or are not symmetrically distributed? Body weights of 16 fillets in grams: 54.1, 49.8, 24.0, 46.0, 44.1, 34.0, 52.6, 54.4, 56.1, 52.0, 51.9, 54.0, 58.0, 39.0, 32.7, 58.5. 4
3. a) What do you understand by dispersion? What purpose does a measure of dispersion serve?
b) Discuss various types of measures of dispersion.
c) Define skewness? What are the various measures of skewness?
6
4. a) Define following terms with example: Empirical probability, Sample space,
Mutually exclusive events.
b) State the additive and multiplicative laws of probability.
Outcomes, 5
5
c) What is the probability of selecting either medium or short duration variety out of 10 short, 15 5 medium and 6 long duration varieties available in minnow from a hatchery?
of
The figures in the right margin indicate full marks Answer any three questions from each section
SECTION-B
Marks
1. a) State the binomial distribution with assumptions. b) What is poisson distribution? In a population of fish 3% have defective. In a sample of 100 5
fish, what is the probability that more than one fish has defective? e) Define a normal distribution and also write its important properties.
2. a) What is a scatter diagram? Mention the properties of coefficient of correlation. b) Define regression equation. Write the simple linear regression model. Also state the
assumptions of linear regression. c) Interpret the terms and sketch the diagrams: (1) r=0.95, (ii) r-1 and (iii) b=13.5.
6
3
3. a) Define alternative hypothesis, level of significance, test statistic and type-I error. b) Write the test procedure for a specified value of a single mean when sample is small and variance is unknown.
5
The average production of fish per pond in a particular region was known from a considerable experience as 620 kg with a standard deviation 4.5 kg. A sample of 20 ponds gives an average production of fish 550 kg per pond. Test whether the average production of fish per pond selected in the sample is in agreement with the average production in that region at 5% level of significanc
The figures in the right margin indicate full marks USE SEPARATE SCRIPTS FOR EACH SECTION
Answer any three questions from each section
Time: 3 hours
SECTION-A
Marks
1. a) Define Statistics and write its significant roles in the field of agriculture. b) Identify the variables as a qualitative or quantitative, as a discrete or continuous,
measurement:
5
as a scale of 5
Various types of treatment, Weight of fish, Economical status of fisher, Body temperature of a fish and Pond size.
c) State the important sources of secondary data.
7
2. a) What do you mean by central tendency? Write the purposes of it. Describe different types central tendency with uses.
b) Mention the characteristics of an ideal measure of central tendency?
c) Calculate the mean and median of the following data set. What evidence is there for concluding that the data are or are not symmetrically distributed? Body weights of 16 fillets in grams: 54.1, 49.8, 24.0, 46.0, 44.1, 34.0, 52.6, 54.4, 56.1, 52.0, 51.9, 54.0, 58.0, 39.0, 32.7, 58.5. 4
3. a) What do you understand by dispersion? What purpose does a measure of dispersion serve?
b) Discuss various types of measures of dispersion.
c) Define skewness? What are the various measures of skewness?
6
4. a) Define following terms with example: Empirical probability, Sample space,
Mutually exclusive events.
b) State the additive and multiplicative laws of probability.
Outcomes, 5
5
c) What is the probability of selecting either medium or short duration variety out of 10 short, 15 5 medium and 6 long duration varieties available in minnow from a hatchery?
of
The figures in the right margin indicate full marks Answer any three questions from each section
SECTION-B
Marks
1. a) State the binomial distribution with assumptions. b) What is poisson distribution? In a population of fish 3% have defective. In a sample of 100 5
fish, what is the probability that more than one fish has defective? e) Define a normal distribution and also write its important properties.
2. a) What is a scatter diagram? Mention the properties of coefficient of correlation. b) Define regression equation. Write the simple linear regression model. Also state the
assumptions of linear regression. c) Interpret the terms and sketch the diagrams: (1) r=0.95, (ii) r-1 and (iii) b=13.5.
6
3
3. a) Define alternative hypothesis, level of significance, test statistic and type-I error. b) Write the test procedure for a specified value of a single mean when sample is small and variance is unknown.
5
The average production of fish per pond in a particular region was known from a considerable experience as 620 kg with a standard deviation 4.5 kg. A sample of 20 ponds gives an average production of fish 550 kg per pond. Test whether the average production of fish per pond selected in the sample is in agreement with the average production in that region at 5% level of significanc
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