Write a note on following 10X2=20) 1. What are the methods of random sampling? 2. What is ogive? Give its example. 3. What is RCBD? 4. What test is conducted on the population with normal distribution? 5. Types of error in testing hypothesis. 6. In cricket, a Man of the Match (MoM) award is given to the outstanding player in a match. Table 1 shows the most MoM awards won by a team of 11 players, each of whom played all matches for which the dataset is given. Players MoM awards Relative (frequency) frequency Player Player 3 58 Player 4 57 Player 7 0.114 Player 2 19 0.038 Player 9 43 Player 1 42 Player 11 41 Player 6 41 Player 5 41 Player 8 25 Q1. How many MoM awards did players 7 and 10 wins? Q2. What is the mean and mode of MoM? 7. What is poission distribution, and when is it used? 8. What is the law of large numbers? 9. Calculate the mean deviation and its coefficient from the following data Variable= 40, 70, 20, 50,30, 60,801 10. Write down the differences between the Z-test and the t-test. (Marks-
Answer the following (Any 2 out of 3) 2X10=20) 1. Researchers have shown that regular intake of cow milk increases the height of growing children. Data on one of the experiments is given below Volume of milk drank by Increase in baby's height baby daily (ml) since birth (cm)2407 Calculate the regression coefficient (b) and its test of significance. 2. Using a suitable test, determine whether Levodopa administration has increased the climbing capacity of Drosophila. Also, find out the central tendency and variability of data. Figure: Drosophila climbing test after Levodopa administration Pre-treatment climbing Post-treatment climbing (cm) (cm)1215 Table: Climbing test reading of Drosophila before and after Levodopa administration2 3. What is probability distribution, and how many types of probability distributions exist? Briefly describe the basic properties and uses of these distributions. (Marks-
Answer the following (Any 6 out of 8) 6X5=30) 1. Differentiate between pearson's and spearman's correlation and describe the concept of the correlation coefficient. 2. Describe the concept of longitudinal study and its application with an example 3. Astudy is designed to test whether there is a difference in mean daily calcium intake in adults with normal bone density, adults with osteopenia (a low bone density that may lead to osteoporosis) and adults with osteoporosis. Adults 60 years of age with normal bone density, osteopenia and osteoporosis are randomly selected from hospital records and invited to participate in the study. Each participant's daily calcium intake is measured based on reported food intake and supplements. The data are shown below. Normal Bone Osteopenia Osteoporosis Density Is there a statistically significant difference in mean calcium intake in patients with normal bone density compared to patients with osteopenia and osteoporosis? 4. Calculate the correlation coefficient between marks obtained by a set of ten students in their class 10th (X) and class 12th (Y) exams as given in Table X 365 476 540 596 439 399 545 350 420 505 Y 290 350 412 450 300 335 450 450 375 390 5. Afamily is going to have 4 children. Find the probability for each of the following event 1) The family has precisely 2 male children 2) The family has at most 2 children 6. In a hospital, 300 cases of typhoid fever were admitted at any point in time, 150 patients were given chloramphenicol, and 150 were given ciprofloxacin. Find whether the difference is significant or not using chi-square test Drug Cured Not cured Total ciprofloxacin 143 7 150 Chloramphenicol. 137 13 150 Total 280 20 300 7. Describe various types of methods for the graphical representation of data. What are the basic principles of experimental design? Explain 8. Briefly.
