Reference no: EM132501800

Q1. Consider the population of adult females resident in Melbourne. Our focus is on the population mean height. Assume we know (population standard deviation) is 25, but we do not know the population mean, μ. We take a sample of adult females resident in Melbourne (n=100) and calculate the sample mean height as 70 cm.

i) Write down the distribution of X, female height. 

ii) Write down the distribution of Are you relying on any theorems in your . answer? If yes explain. 

iii) Derive the 95% confidence interval around the sample mean. 

iv) In your answer to iii) will the specific confidence interval you have derived contain the population mean? Explain carefully.