Question: Question 2 (3) A HR manager would like to survey the salary of the junior accountant in Malaysia to analyse the market trend. He found

Question 2 (3) A HR manager would like to survey the salary of the junior accountant in Malaysia to analyse the market trend. He found that it is normally distributed with a population mean of RM 2900 and a population standard deviation of RM 250. One day, he selects a random sample of the salaries of 30 junior accountants. (i) What is the probability that the sample mean salary will be between RM 2800 and RM 3000? (3 marks) (in) What is the probability that the sample mean salary will be below RM 2850? (3 marks) (ill) The probability is 99% that the sample mean salary of the junior accountant will be between which two values (symmetrically distributed around the mean)? (3 marks) (iv) Do you think he will be likely to get the sample mean salary more than RM 32007 Justify your answer with probability. (4 marks]

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