Write a note on following (Marks- 10X2=20) 1. Types of categorical data. 2. What does the histogram describe? 3. Difference between the Z-test and t-test. 4. What statistical test is used to compare more than two groups? 5. What are the types of non-random sampling? 6. Calculate the standard deviation and coefficient of variance from the following data Variable= 10, 30, 50, 70, 20, 60, 40 7 What is the concept of linear regression? 8 Which measure central tendency is most informative when data is Dskfe wed? Give a brief explanation about it. 9 Calculate the median from the following data Classes Frequency Cumulative frequency W0h-1a0t 10-30 30-60 28 60-80 80-90 90-100 3 70 Q1. Find out the missing frequency Q2 Find out the median 10. Difference between one-tailed and two-tailed testings.
Answer the following (Any 2 out of 3) (Marks- 2X10=20) 1. Atraining program was conducted to improve students’ knowledge. Data were collected from some students both before and after the training program1 Pre Training Post Training1215 Find out the central tendency and variability of data and apply a suitable statistical test to find out whether the training program is effective or not (if α=0.05) 2. Data on annual rainfall and the number of clusters per plant are noted on 12 randomly selected plant neem tree Annual rainfall (cm) No. of clusters912 Calculate the regression coefficient (b) and its test of significance 3. Describe the principle of experimental design and explain different types of experimental design with their pros and cons. (Marks-
Answer the following (Any 6 out of 8) 6X5=30) 1. Describe the various methods of studying correlation. 2. What are the different types of distribution? Explain briefly. 3. Astudy was designed to test the IL-9 levels in patients with diabetes, diabetic Nephropathy and healthy control. Data are shown below Healthy control Diabetic (pg/ml) Diabetic (pg/ml) Nephropathy (pg/ml) Find out if there is any statistical difference in IL-9 levels between the above groups. 4. Briefly describe the method sampling.2 5. Describe the theorems of probability and applications of probability. 6. What are completely Randomized design and least square designs? Write down its advantages and disadvantages. 7. The table shows the scores for ten students in History and Geography exam papers. History 54 89 65 91 74 99 53 45 50 85 Geography 86 66 72 59 82 61 79 69 74 80 Find the average score for the History and Geography papers. What kind of correlation exists between the two exam papers? 8. In a hospital, 300 cases of malaria were admitted at a particular time, 150 cases were given Chloroquine, and 150 were given Artemisinin. Find whether the difference is significant or not using chi-square test Drug Cured Not cured Total Chloroquine 143 7 150 Artemisinin 137 13 150 Total 280 20 300
