Z-Scores & Percent Complete the following problems using what we have learned in class to this point.
SOSC341 Understanding Statistical Inference
Assignment Z-Scores & Percent
Complete the following problems using what we have learned in class to this point. You may complete these problems on a sheet of paper and submit of picture of your work or using a tablet or computer (writing out the problems that require math). The task is not to use computer software or applications to answer the questions but to complete them by hand. You will be graded based on completing each problem (or attempting to do so) but also the accuracy of your responses. If you have questions pertaining to these questions or anything in the class, please contact me and ask.
Review the videos in your Module Resources and Tutorials 2 before completing this assignment.
Assignment
The performance of 20 students on their final exam on statistics in 1992 and for the second class of 20 students in 2017 is shown in the table below.
Scores on statistics final exam, 1992 and 2017
Class of 1992 Class of 2017
80 100
91 99
91 94
80 94
74 94
74 88
73 88
75 81
76 88
73 89
73 80
69 88
67 76
68 75
68 63
68 61
68 53
57 55
58 56
59 82
Use the data to answer the following questions. NOTE: You may need to use the z-score table located in Appendix A of the text (p. 697)
Find the mean and standard deviation for the final exam scores in the two years, 1992 and 2017.
Suppose you scored an 85 on this exam. In which distribution is your test score the farthest above the mean? How far above the mean is your score in both of these distributions?
Admission to a (paid) summer internship program requires that students earn a C or better (70% or higher) on their statistics final exam. If we assume that scores (in both years) on this test are reasonably normally distributed, what percentage of students in 1992 and 2017 would qualify for this internship?
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