need help Question 3 [20 marks] (a) The mean wage...

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Question 3 [20 marks] (a) The mean wage for all 5500 employees who work at a large company is RM12.50 per hour and the standard deviation is RM1.70 per hour. Let & be the mean wage per hour for a random sample of certain employees selected from this company. Find the mean and standard deviation of x for a sample size of 50. i (3 marks) (b) A sample of 1500 cakes sold recently in a bakery gave the mean price of cakes equal to RM60.40. The population standard deviation of the prices of cakes in this bakery is RM3.50. Construct a 95% confidence interval for the mean price of all cakes in this bakery. (7 marks) (c) A random sample of eleven packages was selected from a machine packaging sugar in packages marked 500g. The actual weights of salt in kg were: 498 502 503 504 495 499 501 498 500 499 503 Assuming that the weights are normally distributed, calculate a 95% confidence interval for the mean weight of salt in packages marked 500g, (10 marks)

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