1) What is the purpose of one sample [z and t] tests? Why are they used in statistics? 2) How are one-sample z and t tests different? How are they similar? 3) What information is required to run a one-sample z test vs. a one-sample t test? 4) Use the diagram below to answer the following questions: a) Are the data in the shaded 'tail" regions of the curve more or less likely to occur due to the rules of probability alone? If your calculated z or t value falls in the tails, what does this tell you about the likelihood that there is a process other than chance taking place? b) Are the data in the unshaded 'body' of the curve more or less likely to occur due to the rules of probability alone? If your calculated z or t value falls in the body of the curve, what does this tell you about the likelihood that there is a process other than chance taking place? A 5) Define Type I and Type II errors in statistics. Why are the tail region(s] of a curve important in statistical testing? How does this vary with different statistical significance levels? How do the tail regions relate to the probability of making a Type I or II error