General Instructions: Answer all parts of these four questions. Write (by hand) answers to specific questions on this document, in the spaces provided. Append all work done in Excel, JASP or by hand, to the end of the document. This exam is to be done on your own, with no communication/collaboration/discussion with anyone else except the instructor and the TA. ALSO, make sure to sign the affirmation at the end of this document. 1. Assume that you were given a set of 3 scores of individuals who were measured on a standard psychological test of spatial memory. Those three individuals scored 16, 14, and 18. Further assume that these were three of the scores from a sample of four that had originally been taken. The investigator misplaced the scoresheet for the fourth subject that was tested. However, the investigator had already computed the mean and standard deviation of the four scores. The mean of the four scores was 17. Can you determine what the "missing" fourth score was? a. b. If so, write its value here: (2 pts) Succinctly explain (here) how you obtained this. Attach any scratch paper or Excel table where you did this work. (1 pt) L What is the general principle revealed in this illustration with the missing score, as we covered in class and that is explained in the textbook.? How is this principle related to use of the "t" tables or the "t" distribution? (2 pts) 2. One sample test of a mean - population variance known. A psychology professor of a very large class became curious as to whether the people that turned in their tests first scored differently from the overall mean on the test. He/she had that impression, but wasn't sure and wasn't willing to make a strong prediction on whether they