Write a note on the following (Marks- 10X2=20) 1. What is skewness in data distribution? Give an example of a positively skewed distribution. 2. Define the concept of outliers and explain how they can affect 3. sEtxatpilsatiinca tlh aen daliyffseirse. nce between discrete and continuous variables with examples. 4. Differentiate between correlation and covariance. 5. What are the types of errors in hypothesis testing, and why are they important to understand? 6. Explain the use of histograms and how they help in visualizing data. 7. Differentiate between standard deviation and mean deviation. 8. What is a poisson distribution and how is it different from a binomial distribution? 9. Explain the importance of randomization in experimental design. 10. What are the differences between longitudinal and cross-sectional studies? (Marks-
Answer the following (Any 2 out of 3) 2X10=20) 1. Explain types of experimental design with suitable example. 2. Aclinical trial compared the effectiveness of three different diets (A, B, and C) on weight loss. The results of the study are summarized as follows: Diet A: Mean weight loss = 5 kg, Standard deviation = 1.2 kg, n = 30 Diet B: Mean weight loss = 6 kg, Standard deviation = 1.5 kg, n = 30 Diet C: Mean weight loss = 4.5 kg, Standard deviation = 1.0 kg, n =30 Perform a one-way ANOVA test to determine if there is a statistically significant difference in weight loss between the three diets. Use a significance level of 0.05. 3. What is sampling? Describe different methods of sampling. (Marks-
Answer the following (Any 6 out of 8) 6X5=30) 1. Abotanist is studying the number of seeds germinated under different soil conditions. The following table shows the germination data for 100 seeds: Soil Condition (A, B, C):1 A: 25 seeds germinated B: 35 seeds germinated C: 40 seeds germinated Use a chi-square test to determine if there is a significant difference in seed germination across different soil conditions. 2. Differentiate between parametric and non-parametric test. 3. Briefly explain the probability distribution and its types. 4. Describe different types of correlation with suitable example. 5. Abiotech company developed a new drug to enhance immune response. The drug was tested on 100 individuals, and their immune response was measured. After treatment, the immune response values were recorded as follows: [30, 35, 32, 40, 38, 37, 45, 33, 34, 36]. Calculate the mean, variance, and standard deviation of the immune response values. 6. Elaborate on steps of hypothesis testing. 7. Abotanist is studying the number of seeds germinated under different soil conditions. The following table shows the germination data for 100 seeds: Soil Condition (A, B, C): A: 25 seeds germinated B: 35 seeds germinated C: 40 seeds germinated Use a chi-square test to determine if there is a significant difference in seed germination across different soil conditions. 8. What is frequency distribution? Explain its types.
