Write a note on following (Marks- 10X2=20) 1. Describe Hypothesis and mention its types. 2. Define Confidence Interval. 3. Write the properties of Normal Distribution. 4. Write about the methods of sampling. 5. Mention the conditions required for applying t test. 6. During trials of a new drug, the patients were asked if they faced any side effects. Atotal of 15 patients participated in the study. What is the probability that 10 of the participated patients reported that they did not face any side effects? 7 Define Regression and Multiple Linear Regression. 8 Define Skewness and mention its types. 9 Define Ordinal and Nominal Data. 10. What are outliers in a data set. Explain with an example.
Answer the following (Any 2 out of 3) (Marks- 2X10=20) 1. In a feline study, 8 cats were selected and their energy levels were recorded before and after providing them with a specific diet. The result of the study is represented in the tabulated form below. No. of Cats 1 2 3 4 5 6 7 Energy Levels before diet 4 5 2 6 1 4 3 Energy Levels after diet 6 8 7 7 5 8 7 9 A. Which test would you apply for the given data set? B. Define Null and Alternate hypothesis for the study. C. What is the level of significance used for the study and why? D. Determine the Standard deviation for the data set. 2. In a random survey of 1050 students of class 6, the average height was found to be 146cm and the standard deviation (SD) was 8 cm. A histogram suggested the heights were normally distributed. Answer the following questions. A. One of the students has a height of 170cm. The student is above average by _____SDs.1 B. Another student was 148 cm tall. The student was above average by ____SDs. C. If a student is within 2.25Sds of average height, the shortest he could’ve been is ___cm and the tallest he could’ve been is ___cm. D. Find the confidence interval for the data at 95% level of confidence. (Z = 1.96) E. Here are the heights of 5 students; 150cm, 130cm, 165cm, 140cm and 175cm. Which description fits the most for each student from the list below: -Unusually Tall -About average -Unusually Short -Short -Tall 3. Consider Clinical Treatment for effectiveness of a new drug. If the drug is effective, the patients would feel pain relief as compared to untreated individuals. Atotal of 8 patients were enrolled in the study the values for before and after treatment were noted on a scale of 1 – 100. Increased scores indicate effectiveness of the drug. Determine if the drug has a significant effect on pain relief for the patients at significance level of 5% using Wilcoxon Signed Rank Test. Patients 1 2 3 4 5 6 7 Before treatment 85 70 40 65 80 75 55 After treatment 75 50 50 40 20 65 40 25
Answer the following (Any 6 out of 8) (Marks- 6X5=30) 1. Calculate Correlation Coefficient for the data: X = 4, 8, 12, 16 and Y = 5, 10, 15, 20. 2. Define and explain in brief about: A. Errors in Hypothesis Testing B. One Tailed and Two-Tailed Testing 3. Write a note on p value giving an example 4. Explain the following terms: A. Probability B. Correlation C. Discrete and Continuous data. D. Mutually Exclusive Events 5. Describe the various methods for graphical representation of data. 6. Differentiate between Parametric and Non-Parametric Tests. 7 Write a note on the different types of Correlation. 8 Find Mean, Median, Mode, Standard Deviation and Standard error for the following data set. 2.8, 12.5, 6.4, 9.2, 6.5, 7.62
