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

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.)

pur-new-sol

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