One more (for now). I may have one later but I know you guys are getting ready, if not already are camping.
8. Suppose a STAT 100 exam has 50 questions each worth 2 points. The results for this exam follow a normal distribution where the mean is 80 points with a standard deviation of 6 points.
Part A: Approximately 95% of the exam scores will be between what two values?
a. (80± 6) = (74 to 86) points
b. (80 ± 2 6) = (80 ± 12) = (68 to 92) points
c. (80 ± 3 6) = (80 ± 18) = (62 to 98) points
d. (80 ± 2) = (78 to 82) points
Approximately 95% of the exam scores will be between 62 to 98 points.
Part B: Would you expect a student to score as low as 50 points on this exam? Provide reasoning.
I would not expect a student to score as low as 50 points on this exam. I would hope students studied and absorbed knowledge to perform better. However, some students scored 62 points, and there are 5% of the students left. Based on the mean, a student could score as low as 50 points.
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