GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER–VIII (NEW) EXAMINATION – WINTER 2018
Subject Code: 2180403
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Subject Name: BiostatisticsDate: 29/11/2018
Time: 02:30 PM TO 05:00 PM
Total Marks: 70
Instructions:
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- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks
- All the necessary charts are pasted with this question paper.
- Notations used in this paper, carry conventional meaning.
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Q.1 | (a) Differentiate between histogram, pie chart, bar chart and map diagram. (b) Distinguish between Mean, Median and Mode. (c) The viable cell count for the Acetobacter (N) in a culture after t hours, is given by the following table :
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Q.2 | (a) Define : 1. Quartiles 2. Deciles 3. Quintiles. (b) The frequency distribution of weight in grams of mangoes of a given variety is given below. Calculate the arithmetic mean and the median.
(c) At an international student organization the president of organization expected that the students present should be 10 percent Africans, 25 percent Indians, 40 percent Asians and 25 percent Americans. The students actually present consisted of 25 Africans, 15 Indians, 80 Asians and 20 Americans. Test the president's belief at 5 percent level. OR --- Content provided by FirstRanker.com --- (c) Find the coefficient of correlation between the variables X and Y using Karl Pearson's method:
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(a) Differentiate essential biostatistics. (b) Calculate the mean from the following data:
(c) Two samples A and B have means 2.158 and 1.96 respectively. Determine whether there is significant difference in means of sample A and sample B.
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Q.3 | (a) Write a note on: Importance of Biostatistics (b) The following table gives the age distribution of a group of 50 individuals. Calculate the coefficient of range in this group.
--- Content provided by FirstRanker.com --- (c) Body length of 10 fishes of a species of fish population was recorded from two ponds in the following table:
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Q.4 | (a) Write a note on methods of least square. --- Content provided by FirstRanker.com --- (b) Explain the type-I and type- II errors.(c) In a clinical treatment, the patients were tested to see the effect of a potential hypertensive drug. The 50 patients were assigned to receive drug and other 50 as placebo at random. Their response to treatment was categorized as favorable or unfavorable. The data is given in the table below:
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Q.4 | (a) What is probable error? --- Content provided by FirstRanker.com --- (b) Find the coefficient of rank correlation from the data given below showing the ranks of 10 students according to their performance in Microbiology and Statistics.
(c) In a sample survey of public opinion, two questions were asked: they were : (1) do you drink? (2) are you in favour of local opinion of sale of liquor? The answers of the survey is given in the local table. Is local opinion on the sale of liquor is dependent on the individual habit of drinking?
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Q.5 | A company appoints 4 salesmen observe the sales in 3 seasons. Carry put ANOVA to check the difference in sales due to salesman and seasons. The details are given below.
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Q.5 | The following data represent the numbers of unit of production per day turned out by 4 different workers using 5 different types of machines:
On the basis of this information, can it be concluded that --- Content provided by FirstRanker.com --- (i) The productivity is the same for different machines?(ii) The workers do not differ with regard to productivity? | 14 |
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