The Organisation for Economic Co-operation and Development (OECD) produces a “Better Life Index” based in part on a survey of 1000 homes in each member country. They found that the number of rooms per person in Canadian homes was 2.5 on average, whereas for the average OECD country it was 1.6. Assume that the standard deviation for the Canadian sample was 1.7 rooms. Would you say that Canadian homes have more than 1.6 rooms per person on average? State your hypotheses and calculate a P-value. State conditions and assumptions clearly, and indicate whether they are likely to be true.