1.The O’Colly newspaper contains a large number of advertisements for unfurnished onebedroomapartments. You choose 16 at random and calculate that their mean monthly rent is$508 and that the standard deviation of their rents is $78. Do these data give good reason tobelieve that the average rent for all advertised one-bedroom apartments is greater than $550per month? Make sure to state the hypotheses, find the test statistic and its p-value and stateyour conclusion in plain language using the 5% significance level. 2.The Survey of Study Habits Attitudes (SSHA) is a psychological test that measures themotivation, attitude toward schoo;, and study habits of students. Scores range from 0 to 200.The mean score for U.S. college students is about 115, and the standard deviation is about 30. Ateacher who suspects that older students have better attitudes toward school gives the SSHA to25 students who are at least 30 years of age. Their mean score is ????̅= 133.2. a. Assuming that ???? = 30 for the population of older students, carry out a test of ????0: ???? = 115 ????????: ???? > 115 Report the p-value of your test, draw a sketch illustrating the p-value, and state yourconclusion clearly. b. Your test in (a) required two important assumptions in addition to the assumption that thevalue of ???? is known. What are they? Which of these assumptions is most important to thevalidity of your conclusion in (a)