Write a note on the following (Marks- 10X2=20) 1. Define type Ierror with an example. 2. Poisson distribution 3. What is Randomisation? List the different Randomization methods. 4. Non-parametric data 5. Difference between histogram and box plot 6. Types of correlation 7 Difference between population and sample in statistics 8 Difference between mean deviation and standard deviation 9 Retrospective study design 10. In a field of flowers, 25% of the flowers are red, 30% are blue, and the remaining 45% are yellow. If you randomly pick a flower from this field, what is the probability that it is not blue?
Answer the following (Any 2 out of 3) (Marks- 2X10=20) 1. Differentiate between populations and samples. Explain sampling methods and provide practical examples to showcase the application of these sampling techniques in biological research. 2. Astatistics teacher wants to compare his two classes to see if they performed differently on the tests he gave that semester. Class Ahad 25 students with an average score of 70. Class Bhad 20 students with an average score of 74. Both classes had a standard deviation of 25. Using alpha 0.05, did these two classes perform differently on the tests? 3. Anutritionist is studying the effect of different diets on weight loss. She randomly assigns four groups of participants to four different diets: Diet A, Diet B, Diet C, and Diet D. After 8 weeks, she records the weight loss (in pounds) for each participant in each group. The data is as follows: Diet A: 8.2, 7.5, 9.1, 7.9, 8.5 Diet B: 7.0, 7.2, 7.3, 7.4, 7.1 Diet C: 9.3, 8.9, 9.7, 9.2, 9.5 Diet D: 6.7, 6.8, 7.0, 6.9, 6.6 Using a significance level (α) of 0.05, test whether there are significant differences in weight loss among the four diet groups.1
Answer the following (Any 6 out of 8) (Marks- 6X5=30) 1. In a study of a population of fish, the lengths of 100 fish were measured. The data is as follows (in centimeters) along with their frequencies: Length (cm) Frequency 10.5 12.0 13.5 30 15.0 25 16.5 Calculate the mean length, standard deviation, and coefficient of variation for the fish population. 2. Elaborate on the laws of probability and its applications. 3. Explain the steps in testing statistical significance and interpretation of results. 4. Aweight reduction program claims to be effective in treating obesity. To test this claim 12 people were put on the program and the number of kilos of weight gain/loss was recorded for each person after two years, as shown below. Subject 1 2 3 4 5 6 7 8 9 10 11 Weight 24 15 5 7 1 10 12 8 20 8 2 loss Can we conclude that the program is effective? 5. Describe the principles of Randomized Block and Simple Factorial Designs in experimental designs. 6. It has been suggested that admissions to psychiatric hospitals may vary by season. One hospital admitted 100 patients last year: 30 in the spring, 40 in the summer, 20 in the fall, and 10 in the winter. Use the chi-square test to evaluate the hypothesis that mental illness emergencies are evenly distributed throughout the year. 7 Explain different types of biological data with suitable examples. 8 Explain the concept of regression, fitting regression lines, and discuss the properties of regression coefficients.
