1 (a) Explain in detail the difference between population mean and sample mean? Using suitable examples

(b) Differentiate between Null Hypothesis and Alternate Hypothesis using suitable examples

2(a) The data below is a survey to 10 whites, 10 blacks, and 10 Hispanics asking about their highest year of education completed, and we got the following data: Whites Blacks Hispanics

12 15 12

11 14 11

23 13 23

12 12 12

13 15 13

11 14 11

13 11 15

15 21 14

12 12 13

11 14 12

Required Determine whether there is an association between the three race groups using Analysis of variance

Question 3 (a) For the following data, find the value of regression coefficients write down the fitted regression model:

X 3 7 6 6 10 12 12 12 13 13 14 15

Y 33 38 24 61 52 45 29 65 82 63 50 79

(b) Twelve students identified as obese were put on a special diet believed to be able to reduce body weight. Their weight before and after the diet was monitored for a month. Construct a hypothesis to test whether this diet is effective.

Question 4 In a ludo game consisting of four participants, a die is cast by the members and each member expects to have 6 appear 100 times. You are required to use the information below to determine whether the frequency of occurrence of each number is same or differ using a significance value of 0.05 Number of occurrences Frequency

1 96

2 101

3 87

4 93

5 85

6 79