Below are the quarterly returns on investment (in 000s) of two different investment projects which had the same initial outlay. There is a sample of 16 quarters of returns and your manager has asked you to investigate the relative performance of each project. In particular, your manager suspects that 'Investment B' outperforms 'Investment A' and she would like you to test this hypothesis. Perform an appropriate statistical test that incorporates your manager's hypothesis. (Hint: in this question, assume that both returns come from independent samples, are both normally distributed and that the true (but unknown) variances are not the same.

Variable Type Year the year a yearling is offered for sale: 2019, 2018, 2017 When when the yearling is auctioned, categorised as: auctioned - 1 (if a yearling is auctioned in the first third of the auctions) - 2 (if a yearling is auctioned in the middle third of the auctions) - 3 (if a yearling is auctioned in the final third of the auctions) Sold whether a yearling is sold, categorised as: - yes - passed in (if a yearling does not meet the reserve price) - withdrawn (if a yearling is withdrawn from the auction) Sex the sex of a yearling: - filly (female) - colt (male) Country the country or region of the buyer of a yearling, categorised as: - Asia - Australia - New Zealand . Other State the Australian state or territory an Australian buyer comes from: - Australian Capital Territory - New South Wales - Northern Territory Queensland South Australia - Tasmania - Victoria - Western Australia Price the selling price of a yearling (i.e. the price paid by a buyer) in $NZCode Form of analysis One sample f-test on a mean One sample f-test on a proportion One sample f-test on a mean of differences Two sample t-test on a difference between two means f-test on a difference between two proportions One-way analysis of variance F-test