QUESTION B1 (25 marks) (a) There are 10 members selected from a group of students to represent in a sport carnival, their height (in cm) has been recorded as follows: 176 165 181 177 169 184 190 178 171 168 Conduct a hypothesis test at 5% significance level to check whether the mean height of students is equal to 170cm. (10 marks) (b) A professor is interested in whether there is a relationship between students in different programme and learning methods. A poll was taken from 200 students to determine their preference of learning. The results of the poll are summarized in Table 1. Table 1. Contingency table Learning Platform Programme Online Face to Face Open Distance Learning Computer Science 36 33 6 Information Technology 34 15 15 Software Engineering 28 22 11 Conclude that a student's preference learning method is independent of programme at 0.05 level of significance. (15 marks)