1. You get your results back for an exam that you were nervous and find that you scored 100 points. The professor refuses to share the class average, standard deviation, or total possible points. Curious about how you did, you ask other students what they scored. The following is a list of their responses:

[98, 62, 100, 105, 110, 88, 112, 99, 101, 55, 50]

Using that information, find how many standard deviations away from the average you were and determine if your score was statistically different from the average.

Problems 20-23 are based on z scores. Assume all requirements are satisfied and =.05.