Question

Suppose that an advocate against leniency got a hold of the following samples of grades which, according to the advocate, do seem to suggest that more leniency is being given to student-athletes because their average score is higher than that of the non-athletes group. Student-Athletes Non-Athletes 78 81 84 84 82 75 95 85 87 85 86 82 75 72 88 85 79 77 85 76 81 b. Evaluate the statistical significance of the observed difference in average scores. At the beginning of your procedure, explicitly state the summary statistics for each sample (size, average, and standard deviation), and explicitly draw the rejection region. Assume that the population standard deviations are unknown, but equal. c. In response to this advocate's data-driven argument, an experienced statistical modeling teacher commented that in the first place, scores cannot necessarily be used as a good indicator of whether or not there is more leniency towards student-athletes. What could be the foundation(s) of such a comment? Guide format for problem 2 part (b): Summary of key information Null hypothesis Alternative hypothesis Tailedness of the alternative Name of procedure Test Statistic Rejection Region Decision Conclusion

          Suppose that an advocate against leniency got a hold of the following samples of grades which, according to the advocate, do seem to suggest that more leniency is being given to student-athletes because their average score is higher than that of the non-athletes group.
Student-Athletes
Non-Athletes
78
81
84
84
82
75
95
85
87
85
86
82
75
72
88
85
79
77
85
76
81
b. Evaluate the statistical significance of the observed difference in average scores. At the beginning of your procedure, explicitly state the summary statistics for each sample (size, average, and standard deviation), and explicitly draw the rejection region. Assume that the population standard deviations are unknown, but equal.
c. In response to this advocate's data-driven argument, an experienced statistical modeling teacher commented that in the first place, scores cannot necessarily be used as a good indicator of whether or not there is more leniency towards student-athletes. What could be the foundation(s) of such a comment?
Guide format for problem 2 part (b):
Summary of key information
Null hypothesis
Alternative hypothesis
Tailedness of the alternative
Name of procedure
Test Statistic
Rejection Region
Decision
Conclusion

Suppose that an advocate against leniency got a hold of the following samples of grades which, according to the advocate, do seem to suggest that more leniency is being given to student-athletes because their average score is higher than that of the non-athletes group.
Student-Athletes
Non-Athletes
78
81
84
84
82
75
95
85
87
85
86
82
75
72
88
85
79
77
85
76
81
b. Evaluate the statistical significance of the observed difference in average scores. At the beginning of your procedure, explicitly state the summary statistics for each sample (size, average, and standard deviation), and explicitly draw the rejection region. Assume that the population standard deviations are unknown, but equal.
c. In response to this advocate's data-driven argument, an experienced statistical modeling teacher commented that in the first place, scores cannot necessarily be used as a good indicator of whether or not there is more leniency towards student-athletes. What could be the foundation(s) of such a comment?
Guide format for problem 2 part (b):
Summary of key information
Null hypothesis
Alternative hypothesis
Tailedness of the alternative
Name of procedure
Test Statistic
Rejection Region
Decision
Conclusion

Added by Troy M.

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