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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
b) Calculate the standard error of the mean and explain the meaning of this value.
c) Determine the 95% confidence interval and explain its meaning in the context of the overall problem.
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?
e) If the admissions times were more variable, what effect would this have on the confidence interval?