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a) For a series of random samples of 60, are the mean values of these random samples normally distributed?

16 / 01 / 2019 Statistics

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Question 1 [15 marks]
a)    For a series of random samples of 60, are the mean values of these random samples normally distributed? Explain
[3 marks]
b)    Calculate the standard error of the mean and explain the meaning of this value.
[2 marks]
c)    Determine the 95% confidence interval and explain its meaning in the context of the overall problem.
[4 marks]
d)    What is the probability that a sample of 60 hospitals selected at random in the Melbourne area will have a mean greater than 7000.00 admissions?
[4 marks]
e)    If the admissions times were more variable, what effect would this have on the confidence interval?


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