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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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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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