QUESTION B1 (25 marks) (a) Lisa bakes cakes and sell them in slices of 200g each. There are 12 randomly selected slices of cakes are taken and their weights in grams are recorded as follows: 194 205 210 179 195 204 201 200 195 1 194 200 Conduct a hypothesis test at 5% significance level to check whether the mean weight of cakes is not equal to 200g. (10 marks) (b) A survey was conducted of 132 young adults, classifying their highest level of schooling as graduated from university, graduated from high school, or neither, and classifying their parents as wealthy, middle class, or poor. The results of the survey are summarized as shown in Table 2 below: Table 2. Contingency table Highest level of schooling attained Parents' wealth University High School None Wealthy 23 19 11 Middle class 14 25 11 Poor 10 9 13 Conclude that a person's level schooling is independent of their parent wealth at 0.05 level of significance. (15 marks)