A mark of at least 50 is required to pass a course. The marks this year run from a low of 45 to a high of 83, with a mean of 64 and a standard deviation of 5. The professor would like all students to pass, so he adjusts the marks to achieve a mean of 70 with a standard deviation of4. Is this enough to ensure that all students will pass? Work out the new marks for the lowest and highest achiever

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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H. A mark of at least 50 is required to pass a course. The marks this year run from a low of 45 to a
high of 83, with a mean of 64 and a standard deviation of 5. The professor would like all students
to pass, so he adjusts the marks to achieve a mean of 70 with a standard deviation of4. Is this
enough to ensure that all students will pass?
Work out the new marks for the lowest and highest achiever
HINT: With this type of a bell curve, everyone's z-score stays the same.
31
SAMSUNG
Transcribed Image Text:H. A mark of at least 50 is required to pass a course. The marks this year run from a low of 45 to a high of 83, with a mean of 64 and a standard deviation of 5. The professor would like all students to pass, so he adjusts the marks to achieve a mean of 70 with a standard deviation of4. Is this enough to ensure that all students will pass? Work out the new marks for the lowest and highest achiever HINT: With this type of a bell curve, everyone's z-score stays the same. 31 SAMSUNG
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