8) A researcher conducted on a new drug a study to reduce depression of adult in one clinic. She use ten patients and measure the depression score at baseline and measure the same patient after ten days. Note: the high score is more depressed. The following is the information for ten patients: Each parts 4 points total 12 points Calculate by Hand or use the output to answer the questions: Depression Score Difference Patient Baseline 10 Days di= 10 Days - baseline Di2 1 2 3 4 5 6 7 8 9 10 20 30 20 10 32 25 35 45 40 15 10 20 10 20 20 15 25 30 20 20 -10 -10 -10 10 -12 -10 -10 -15 -20 5 100 100 100 100 144 100 100 225 400 25 -82 1394 N Mean Std Dev Std Err Minimum Maximum 10 -8.2000 8.9542 2.8316 -20.0000 10.0000 Mean 99% CL Mean Std Dev 99% CL Std Dev -8.2000 -17.4021 1.0021 8.9542 5.5308 20.3942 DF t Value Pr > |t| 9 -2.90 0.0177 a) What statistical test researcher should use? 1. One proportion test 2. One sample T-test when population variance is unknown 3. One sample T-test when population variance is known 4. One paired sample T-test b) What is the value of T statistics? 1. -6.65 2. -1.56 3. 3.56 4. -2.90 c) Can we conclude based on these data that the new drug improves patient depression level at alpha .01? 1. Yes, because our absolute test statistics is greater than T value from T table 2. No, because our absolute test statistics is less than T value from T table