Section 3 of 6 (Question 10 to 11) - (9 + 9 = 18 Marks/Points) Question 10 (9 points) The librarian at the National Library of Australia has asked her assistant for an estimate of the mean number of students who use library facilities and services each day. A random sample of 60 days resulted in an average of 320.6 students per day with a standard deviation of 46.2 students per day. i. What is the shape of the sampling distribution for the average number of students who use library facilities and services? Explain fully. ii. Construct a 90% confidence interval estimate for the true mean number of students who use library facilities and services each day and provide a plain language interpretation of the interval (You must show your workings). A/Question 11 (9 points} An officer with the Australian Electoral Office wants to estimate the proportion of voters with disability or mobility restrictions at the next election. Suppose that a random sample of 500 voters was taken and 125 were assessed as needing special assistance to participate in the electoral system. i. What is the parameter of interest? Explain your reasoning. ii. Construct a 90% confidence interval for the true proportion of voters who would need special assistance at the next election and interpret the confidence interval {You must show your workings)