Question 3 (6 marks) Please scroll to the bottom of page for END of question. A recent survey reveals that the average monthly wage (in SGD) in Singapore is 4789. A sample of size 61 is selected from some community, and it is found that the sample mean is 5421 with a standard deviation of 830. Using a significance level of 1%, determine whether the community on average earns a higher level of monthly wage than the national average. (a) Let X be the monthly wage of a person in the given community. What is the parameter of interest? (1 mark) Please choose one: a) O Sample mean, X b) Sample variance, $2 c) Mean of X, H d) O Variance of X, 02(b) Decide the type of the hypothesis test. (1 mark) Please choose one: a) O Two-tail test b) Upper-tail test c) O Lower-tail test (c) Decide the distribution used in the test. (1 mark) Please choose one: a) Ot distribution b)O x distribution c) Standard normal distribution (d) Find the value of the test statistic (2 decimals). (1 mark) Answer: (e) Find the critical value (2 decimals). (1 mark) Answer: (f) What conclusion can we make? (1 mark) Please choose one: a) O It can be concluded that the community on average earns a higher level of monthly wage than the national average. b) It cannot be concluded that the community on average earns a higher level of monthly wage than the national average