18. A researcher wanted to see if anxious individuals felt less anxiety after a therapeutic art session. They held a guided art therapy session with a group of 8 participants and asked them to fill out a questionnaire afterward to measure their anxious feelings. Here are the scores: 42, 25, 36, 40, 43, 37, 35, 38. a. Find the mean, SS, variance, and standard deviation of this sample. (might be easier to use definitional SS formula this time but either is fine) b. What is the SEM for this sample? c. Suppose the population p = 42. What is the z score for the likelihood of obtaining a sample mean = 37? d. What is the probability obtaining this sample mean or smaller from this population? (Hints: draw the curve - which side is shaded? Use the z-score above to find p in table - report using decimals and percent)