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A class in statistics (N = 50 students) takes their first exam. Results from the class indicate an average performance of 57 points, with a standard deviation of 12 points. The scores are normally distributed (i.e., symmetric and unimodal).
a) The instructor realizes the test may have been too hard and decided to add 5 points to every student's scores, bringing up the class average to 62 points. What is the standard deviation following this adjustment? (1 decimal place)
b) Later on, the instructor discovered that at least half of the class cheated on the test. His supervisor forced the instructor to deduct 15 % from every score. What is the standard deviation following this change?
c) Using the original exam scores, approximately 68% of scores are expected to be between (blank) and (blank)?
d) Which of the following is the most plausible value for the range on the original scores of this exam?
1527356975
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