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QUESTION 1 (20 MARKS) An ice cream maker performs a survey about favourite flavours of ice cream in one of their outlet in Selangor. Based on the following table, do the gender and favourite ice cream flavours independent? Test at the 5% significance level. Gender/ Flavour Strawberry Chocolate Vanilla Men 47 35 28 Women 65 59 55 (20 marks)QUESTION 2 (15 MARKS) A company has three manufacturing plants, and company officials want to determine whether there is a difference in the average age of workers at the three locations. The following data are the ages of five randomly selected workers at each plant. Location 1 Location 2 Location 3 29 32 25 27 33 24 30 31 24 27 34 25 28 30 26 1 = 141 12 = 160 *3 = 124 *1 = 28.2 12 = 32 *3 = 24.8 i. Construct an ANOVA table . (8 marks) ii. Perform a one-way ANOVA to determine whether there is significant difference in the mean ages of the workers at the three plants. Use a = 0.01. (7 marks)