A set of final TEST grades in an introductory statistics course is normally dist

Question

A set of final TEST grades in an introductory statistics course is normally distributed, with a mean of 71 and a standard deviation of 7 Complete parts (a) through(d).

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

85 on this test or a grade of 68 on a different test, where the mean is 65 and the standard deviation is 3?

Show your answer statistically and explain.

A student is with a grade of 85 on this test because the Z value for the grade of 85 is ? and the Z value for the grade of 68 is

(Round to two decimal places as needed.)

Explanation / Answer

z value for the grade of 85 = (85 - 71)/7 = 14/7 = 2

z value for the grade of 68 = (68 - 65)/3 = 3/3 = 1

Hence,

A student is better with a grade of 85 on this test because the z value for the grade of 85 is 2 and the z value for the grade of 68 is 1.

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