I<:>|

Name: Qotnde-& Student ID: P BUS105 Quiz 5 (Quiz 4) King's Own Institute 12 Mark You will have 20 minutes to answer these questions. Questions must be answered in the order given and you should show all your working including the final answer. Question 1: [1 Markl The Lecturer of Bus 105 believes students sleep 7 hours per night In a sample of randomly selected 11 students, it was found that the sample mean hours sleep was 6.182 and the sample standard deviation is 2.1826. Construct a 95% confidence interval for the true mean number of hours slept per night in the population from which this sample was drawn. You can suppose the hours sleep is normally distributed. Interpret your Confidence interval Question 2: [1 Mark] Leading up to each federal election, the various opinion pollsters conduct nation-wide surveys of electors in an attempt to forecast the proportion of the electorate who will vote for each of the major parties. Suppose that a polling firm conducts a survey of 500 randomly selected electors (a representative sample), and their results indicate that 210 of these electors will vote for the ALP at the election. Construct a 95% confidence interval for the (true) proportion of voters who will vote for the ALP at the election. Interpret your Confidence interval