Question: The first midterm on a Statistics exam has 50 questions each worth 2 points (100 points total) . The results for this exam follow a
The first midterm on a Statistics exam has 50 questions each worth 2 points (100 points total) . The results for this exam follow a normal distribution where the mean was 80 points with a standard deviation of 6 points. The second midterm had the same format and again the results followed a normal curve except this time the mean was 76 with a standard deviation of 10.
1.Approximately 95% of the scores from the first exam will be between what two values?
A. (80 6) = (74 to 86) points
B. (80 2 x 6) = (80 12) = (68 to 92) points
C. (80 3 x 6) = (80 18) = (62 to 98) points
D. (80 2) = (78 to 82) points
2.Would you expect a randomly selected student to score as low as 50 points on the first exam?
A. Yes, the empirical rule states that this is highly likely.
B. No, the empirical rule states that this is highly unlikely.
3.One student scored a 92 on both exams. On which exam did he do better relative to the rest of the class?
A. He did better on the first exam compared to his classmates
B. He did worse on the first exam compared to his classmates
C. He did the same on both exams relative to his classmates
D. there's not enough information to know
4.One student got a 71 on the second test. What percentage of the class scored lower than her?
A. 5%
B. 31%
C. 69%
D. 95%
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