Q1. Consider the population of adult females resident inMelbourne. Our focus is on the population mean height. Assume weknow ? (population standard deviation) is 25, but we do not knowthe population mean, µ. We take a sample of adult females residentin Melbourne (n=100) and calculate the sample mean height as 70cm.
i) Write down the distribution of X, female height.
ii) Write down the distribution of Are you relying on anytheorems in your answer? If yes explain.
iii) Derive the 95% confidence interval around the sample mean.In your answer to iii) will the specific confidenceinterval you have derived contain the population mean? Explaincarefully
