Question Two {4 marks each 24 marks) Answer the following questions for the CreatCuppa data set. Assume that the sample of 250 customers is a random sample from the population of all customers. a) '3) Use the 'Dataf Data Analysis' tool to calculate descriptive staslics for the cups per week consumed by the surveyed customers. There is a discrepancy between the median and mean cups per week for these data. Use a histogram to explain this. Calculate a 95% confidence interval for the mean income of all customers whose favourite coffee is Latte. Calculate a 99% confidence interval for the proportion of customers who prefer cappuccino. Calculate a 95% confidence interval for the mean income of all customers who prefer 'other'. John Arabica has suggested GreatCuppa customers who prefer regular coffee are in a mid to lower income bracket [less than $50,000). You are not willing to accept John's opinion unless you have strong evidence supporting him. Conduct an appropriate test of hypothesis at the 5% level of significance. Give a clear conclusion regarding John's speculation. a) John believes that Creatcuppa appeals equally to married and single customers. Conduct an appropriate test of hypothesis. Be sure to state any assumptions required for your test and give a clear conclusion