Question 1 : Please use R to answer this question. Refer to Assignment 1 Question 2 for information about the house dataset. We will continue to look at the house dataset in this question. Your solutions should include the code you used to solve the problem along with all relevant output. Part A. Use the t.test function to build a 92% confidence interval for the value of a house. With reference to your confidence interval, does the value of a house, on average, differ from $300,000? Part B. Use the t.test function to test whether the mean value of a house is at most $300,000. Use all the steps of a hypothesis test with reference to the code. Part C. Use the t.test function to test whether the mean size of a house is at least 200 sq metres. Use all the steps of a hypothesis test with reference to the code. Part D. Use the t.test function to test whether a house with a basement has a value that differs from $310,000. Use all the steps of a hypothesis test with reference to the code. Part E. Suppose we made the wrong conclusion in part D, despite the fact that our math was correct. What type of error would you have made, and what is the probability you made that error? Part F. Use the t.test function to test whether a house with a basement has a larger value than a house without. Use all the steps of a hypothesis test with reference to the code. Part G. [This question is NOT to be handed in but will be good practice for Test 3] Is there a relationship between the value of a house and its size? What kind of relationship? Use all the steps of a hypothesis test with reference to the code.