Question 3 (a) A random sample of 250 Chinese was chosen. Their age and whether or...

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Question 3 (a) A random sample of 250 Chinese was chosen. Their age and whether or not they will go home for Chines New Year celebration were recorded. The summary of the data collected are shown in the following table. Below 40 years 35 68 41-60 years 50 53 Above 60 years 30 14 (b) (c) Is there evidence to indicate that there is an association between age group and the decision made by the person? Test at 2.5% significance level. sem (8 marks) Records show that 60% of the Employees Provident Fund (EPF) members have withdrawn at least RM5000 from their account during the past two years. A random sample of 200 EPF members was taken. What is the probability that more than 130 of them have withdrawn at least RM5000 from their EPF account? (4 marks) The table below shows the unit prices (in S) and quantities (in units) of 3 items sold in 2021 and 2022. 2022 Price Quantity Price Quantity X220 60 230 66 Y 3.00 30 1.40 23 12.00 10 Z 11.00 Use 2021 as base year. (1) Calculate the simple quantity index of item y for 2022. Interpret your result. (3 marks) Calculate the Laspeyres price index for 2022. Interpret your result. 2021 (ii) (4 marks) (d) A random sample of 5 students was taken and the amount (in RM) that they spend on food in a day were recorded. The summary of the information is as shown below. Assume that the daily food consumption for students is normally distributed. Test, at 2.5% significance level, if the average daily food consumption for a student is more than RM20. Question 3 (a) A random sample of 250 Chinese was chosen. Their age and whether or not they will go home for Chines New Year celebration were recorded. The summary of the data collected are shown in the following table. Below 40 years 35 68 41-60 years 50 53 Above 60 years 30 14 (b) (c) Is there evidence to indicate that there is an association between age group and the decision made by the person? Test at 2.5% significance level. sem (8 marks) Records show that 60% of the Employees Provident Fund (EPF) members have withdrawn at least RM5000 from their account during the past two years. A random sample of 200 EPF members was taken. What is the probability that more than 130 of them have withdrawn at least RM5000 from their EPF account? (4 marks) The table below shows the unit prices (in S) and quantities (in units) of 3 items sold in 2021 and 2022. 2022 Price Quantity Price Quantity X220 60 230 66 Y 3.00 30 1.40 23 12.00 10 Z 11.00 Use 2021 as base year. (1) Calculate the simple quantity index of item y for 2022. Interpret your result. (3 marks) Calculate the Laspeyres price index for 2022. Interpret your result. 2021 (ii) (4 marks) (d) A random sample of 5 students was taken and the amount (in RM) that they spend on food in a day were recorded. The summary of the information is as shown below. Assume that the daily food consumption for students is normally distributed. Test, at 2.5% significance level, if the average daily food consumption for a student is more than RM20.