JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech I BIOSTATISTICS Previous Question Paper (September - 2023 - R22)
Note: This question paper contains two parts A and B. Part-A for 10 marks, Part-B for 50 marks. Part-A is a compulsory question. Part-B consists of ten questions; the student should answer five questions selecting one from each unit.
Part A
What is meant by mode?
Answer
The mode is the value that appears most frequently in a given data set.
What is the use of pie diagram?
Answer
A pie diagram is used to represent the proportional distribution of different components of a total value, showing how a whole is divided into parts.
What is weighted mean?
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What is range?
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What is meant by mutually exclusive events?
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Define normal distribution.
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What is a null hypothesis?
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What is degree of freedom?
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What is meant by correlation?
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What is the meaning of regression line?
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Part B
Describe the types of data.
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Draw a suitable diagram to represent the following, give a proper title, and also explain your choice of representational form:
| Particulars | Company A | Company B |
|---|---|---|
| Selling price | 12,000 | 10,000 |
| Raw materials | 5,000 | 4,000 |
| Direct wages | 4,000 | 3,000 |
| Factory and office overheads | 1,000 | 1,000 |
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What is primary data? Under which circumstances one should go for primary data?
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What is the utility of cumulative frequency curves?
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A motor car covered a distance of 50 k.m. four times. The first time at a speed of 50 k.m. per hour, the second at 20kmph, the third at 40kmph and the fourth at 25kmph. Calculate the average speed and explain the choice of the average measure used.
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In two factories A and B engaged in the same industry, the average monthly wages and standard deviations are as follows:
| Factory | Average monthly wages Rs. | Standard deviation of wages Rs. |
|---|---|---|
| A | 46,000 | 5,000 |
| B | 49,000 | 4,000 |
Which factory shows greater variability in the distribution of wages?
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Describe briefly the various methods of measuring variation in health statistics.
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A certain medical store made annual profits of Rs.5,00,000, Rs.10,00,000 and Rs.80,00,000 in 2020, 2021, and 2022 respectively. Determine the average rate of growth of this store’s profits.
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In a certain government office there are 400 employees; there are 150 men, 276 university graduates, 212 married persons, 94 male university graduates, 151 married university graduates, 119 married men, 72 married male university graduates. Find the number of single women who are not university graduates.
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Brief on compound probability.
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Daily demand for a product is approximately normally distributed with mean sales of 12 units per day and standard deviation of 4 units. How many units must be on hand in the morning to assure no more than one chance in 5 of running out of stock during the day?
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Describe the importance of Poisson distributions.
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What is judgment sampling? What is convenient sampling? When they are resorted to?
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Distinguish between sampling and non-sampling errors.
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For a random sample of 10 persons fed on diet A the increases in weight in pounds in certain period were: 10, 6, 16, 17, 13, 12, 8, 14, 15, 9. For another random sample of 12 persons fed on diet B, the increases in weight in the same period were: 9, 13, 22, 15, 12, 14, 18, 8, 21, 13, 10, 17. Test whether the diet A and B differ significantly as regards their effect on increase in weight.
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Calculate Karl Pearson’s coefficient of correlation from the following data and interpret its value:
| Roll no. | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| Marks in biology | 48 | 35 | 17 | 23 | 47 |
| Marks in statistics | 45 | 20 | 40 | 25 | 45 |
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Given the following data: X = -1, 5, 3, 2, 1, 1, 7, 3; Y = -6, 1, 0, 0, 1, 2, 1, 5. Fit a regression line of Y on X and predict Y if X=10.
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