21. The Dean of the Faculty of Social Sciences at the UWI, Mona Campus is concerned about the overall wellness of the members of the Faculty (faculty, staff and students). He has therefore started a health initiative dubbed \"FSS Moves" and partnered with the \"Jamaica Moves" campaign from the Ministry of Health and Wellness. This new initiative began in August 2019. To determine if this new initiative is working, he had each participant complete a wellness survey at the beginning of the programme and at the end of the rst semester. The information collected in each survey was used to create wellness scores for each participant. The results are presented below. Group Statistics Wellness End of Semester 1 Score End of Semester 1 - Beginning As a statistics student in the Faculty. the Dean has commissioned you to conduct the appropriate test and report on your ndings. Note that a higher score is preferred. a) Write down the appropriate null and alternative hypothesis to determine if the initiative was effective. Make sure to use the correct notation and denitions. (4 marks) QUESTION 2] CONTINUED ON PAGE 9 ID Number: Page 9 of 1] 1)) Calculate the test statistic. State whether this is a z, t, or F statistic. Write the equation for calculating the test statistic and then substitute the necessary values. Write your answer to 3 decimal places. (4 marks) c) Write the probability statement of the p-value in terms of the test statistic. First, write the general formula and then substitute the necessary value. (I mark)