​​​ 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?