Biostatistics — Winter 2024

Find the median for the following data: Income (in Rs.): 100 150 80 200 250 180 No. of persons: 24 26 16 20 6 30 Consider each value of Income to be corresponding with No. of persons.

Explain each with their types with necessary diagram: i) Skewness, ii) Kurtosis

There are two identical boxes named as Rand W. Box Rcontains 4 red and white coloured balls. Box Wcontains 5 red and 3 white coloured balls. Aball is chosen randomly and taken out of box. If the ball is white what is the probability that it has been drawn from box W? Also find the probability, if the ball chosen is red and drawn from box R.

Write the following in the form of sets and draw a Venn diagram- A= BIOSTATISTICS; B= MATHEMATICS.

Differentiate: Histogram and Frequency Polygon

Calculate the standard deviation, variance and coefficient of variance of the following data (using assumed mean method): Height (inches) No. of Children 95-105 19 105-115 23 115-125 36 125-135 70 135-145 52

Calculate the standard deviation for the following distribution: Profits (Rs.) No. of company 20-30 30 30-40 58 40-50 62 50-60 85 60-70 112 70-80 70 80-90 57 90-100 26

Calculate Pearson’s correlation coefficient for the following data on marks obtained by 10 students of 2 different batches for the subject of accounts: Group-A Group-B4535

The correlation coefficient between Xand Yis 0.60. If the variance of x=225, the variance of y= 400, mean of x=10 and mean of y=20, find the equation of the regression lines of i) Yon Xand ii) Xon Y.

To address some of the calculations, which type of central tendency would be appropriate for the each of the following 3 cases (Answer from one of the- Mean/Median/Mode):1

Size of the shoes sold at a shop ii) Comparison of intelligence of students iii) Per capita income in several countries

The coefficient of rank correlation between marks in Biostatistics and Bioinformatics obtained by students of Harvard College is 2/3. The sum of square of the differences in ranks is 55. Find the number of students in the group.

Find mean of the variables Xand Yand the correlation coefficient from the following regression equations: 2Y-X=50 & 3Y-2X=10.

Explain non-parametric tests with its features, merits and demerits.2

Calculate the arithmetic, harmonic and geometric mean for the data points: 2, 6, 12.

Explain the following non parametric tests with their application:

Mann-Whitney U-test ii) Kruskal-Wallis test iii) Kolmogorov-Smirnov test

In a test given to two groups of students (A & B) drawn from south point school, the marks obtained are as follows: Group A Group B4618 -- 36 -- 41 Examine at 5% level whether the two groups of school students have the same variance or not. (F = 4.15) 0.05(8,6)

Calculate the median for the data points: 21, 12, 49, 37, 88, 46, 55, 74, 63.

Applications of fertilizers were tested for the yield of rice grown in 10 plots. Another seed of 10 plots of similar size and condition were taken as control. Test the effect of fertilizer. Plot No. Fertilizer applied Fertilizer not applied T = 2.10 (0.05, 18)

Define standard error of mean and state its formula to calculate.

Find A U B, A ∩ B, A’ and B’ if U= set of alphabets of word UNITED STATES OF AMERICA, A= set of alphabets of word INDIA, B= set of alphabets of word CANADA.

Mendel self-fertilised pea plants with round and yellow peas. In the next generation (F2) he recovered the following number of peas: 315 round and yellow peas, 108 round and green peas, 101 wrinkled and yellow peas, 32 wrinkled and green peas. What is your hypothesis about the genetic control of the phenotype? Does the data support this hypothesis if the critical value at 0.05 level is 7.82 for degrees of freedom= 3?

Define: Quartiles, Deciles and Percentiles

The mean length of 500 and 600 screws are 186 and 175 mm respectively. The corresponding standard deviations are 9 and 10 respectively. The length variabilities are studied. Find the combined mean and variance of the combined sample.

Workout one-way ANOVA to find whether the significant difference between the wing lengths (mm) of the following two groups of grasshoppers from two different habitats of Ahmedabad. F = 4.41 0.05(1,18) Group A Group B 5.0 2.8 4.0 3.7 3.8 3.1 4.3 2.2 4.5 4.5 5.3 3.0 2.8 4.6 4.6 3.0 5.1 2.4 4.6 4.7