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In: Statistics and Probability

2(c) The mean monthly household expenses of all residents in a large city is RM1250 with...

2(c) The mean monthly household expenses of all residents in a large city is RM1250 with a standard deviation of RM225. However the population distribution of household expenses is skewed to the right. Calculate the mean and standard deviation of ?̅ and describe the shape of its sampling distribution when the sample size is

(i) 30; [6 marks]

(ii) 100; [6 marks]

(iii) sketch distribution graphs for the above scenarios. [8 marks]

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