μ = 84 σ = 5.1 n = 42 Questions: i. You scored a 91, what percentage of the students did you score higher than and what is your z-score? ii. What is the score range of 68% of the class? iii. How many students (round up) scored less than 70% on the exam? iv. How many students (round up) earned an A (90%+)? v. How many students scored a B (> 80% and < 90%)?
i)
ii)
68% is one standard dev away
[84-5.1,84+5.1] = [78.9,89.1]
iii)
70 percentile is 0.534
iv)
0.003*42 = 0.126
v)
0.6639
A new exam was written to be used as an entrance exam. You took the exam and your score report said that you got a score of 633 points out of 800 possible and that the mean and standard deviation for all test takers is μ = 400 and σ = 100 and the distribution is normal. What percentage of students taking the test scored higher than you did? The department decides to accept all the students who score in...
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89 67 84 74 58 51 63 68 84 65 57 76 58 75 72 67 64 74 95 53 77 86 90 80 70 67 76 62 91 70 63 78 49 61 77 57 83 67 107 67 80 73 94 80 73 74 67 72 68 79 73 121 63 77 70 61 75 66 79 54 76 86 84 72 65 75 63 91 72 64 99 81 58 70 58 58 90 66 64 80...
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