Sydney house prices are rising rapidly and many believe that the average house price in Sydney is above $1,100,000. Anton used a sample of 1000 recent property sales in Sydney to test the claim. He found that the sample mean price was $1,200,000 and the t-statistic was 1.25 1)The standard error of the sample mean house price must be [2 marks] (round your answer to 2 decimal places) 3) The null hypothesis Ho is: [1 mark] He is 1,100,000 [1 mark] Using 5% significance level, you can conclude that ili) The p-value associated with the test is [2 marks] (leave your answer in decimals, rounded to 4 decimal places) iv)For the test result to be valid, Anton needs to assume that Sydney house prices are normally distributed