Question
The mean monthly household expenses of all residents in a large city is RM1250 with a...
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]
Homework Answers
Answer #1
Solution:
(i) The mean and standard deviation of 
, when the
sample size is 30.
The shape of the distribution would be skewed to the right.
(ii) The mean and standard deviation of , when the
sample size is 100.
The shape of the distribution would be approximately normally distributed.
(iii) sketch distribution graphs for the above scenarios.
Answer: The sketch for the sampling distribution with sample size 30 is :
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