1.The first exam grades of last semester's Stats class had a mean of 67 with a standard deviation of 5 points. Answer the following questions: a.

1.The first exam grades of last semester’s Stats class had a mean of 67 with a standard deviation of 5 points. Answer the following questions:

a.    Jenny received a score of 80. What is her z-score? Is it positive or negative? Why?

b.    Michael’s z-score was a -1.5. Did he do better or worse than the average? How can you tell? And by how many points?

c.    Anne’s z-score was a 0. What does this tell you about her score in relation to the mean?

d.    John received a score of 65. What is his z-score? Is it positive or negative? Why?

For the students in the first part of this question (Jenny, Michael, Anne, and John):

e. Which (if any) students fall into the middle 68% of the distribution?

f. Which (if any) students fall outside of the middle 68% of the distribution?

g. Which (if any) students fall into the top 5% of the distribution?

a.    h. Which (if any) students fall into the bottom 5% of the distribution?

a. Z score = (80-67)/5 = 2.60. As Jenny’s score is more than the mean so the Z score is positive. b. Michael’s Z score is negative so he did worse than the average. The difference of points...