question archive A set of final examination grades in an introductory statistics course is normally? distributed, with a mean of 71 and a standard deviation of 8
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A set of final examination grades in an introductory statistics course is normally? distributed, with a mean of 71 and a standard deviation of 8. Complete parts? (a) through? (d).
.a. What is the probability that a student scored below 82 on this? exam?
The probability that a student scored below 82 is
0.9162
0.9162.
?(Round to four decimal places as? needed.)
b. What is the probability that a student scored between 63 and 94??
The probability that a student scored between 63 and 94 is
0.8393
0.8393.
?(Round to four decimal places as? needed.)
c. The probability is 15?% that a student taking the test scores higher than what? grade?
The probability is 15?% that a student taking the test scores higher than
79
79.
?(Round to the nearest integer as? needed.)
d. If the professor grades on a curve? (for example, the professor could give? A's to the top? 10% of the? class, regardless of the? score), is a student better off with a grade of 87 on the exam with a mean of 71 and a standard deviation of 8 or a grade of 64 on a different? exam, where the mean is 61 and the standard deviation is 3?? Show your answer statistically and explain.
A student is worse off/better off with a grade of 87 on the exam with a mean of 71 and a standard deviation of 8 because the Z value for the grade of 87 is and the Z value for the grade of 64 on the different exam is
?(Round to two decimal places as? needed.)