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Statistics / Elementary Statistics: A Step By Step Approach 9 / Chapter 6.2 / Problem 22E

Elementary Statistics: A Step By Step Approach | 9th Edition | ISBN: 9780073534985 | Authors: Allan Bluman

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Chapter 6, Problem 22E

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QUESTION:

Problem 22E

Reading Improvement ProgramTo help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 5% of the students in the district, based on the stores on a reading achievement exam. If the average score for the students in the district is 122.6. find the cutoff score that will make a student eligible for the program. The standard deviation is 18. Assume the variable is normally distributed.

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QUESTION:

Problem 22E

Reading Improvement ProgramTo help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 5% of the students in the district, based on the stores on a reading achievement exam. If the average score for the students in the district is 122.6. find the cutoff score that will make a student eligible for the program. The standard deviation is 18. Assume the variable is normally distributed.

ANSWER:

Solution:

Step 1 of 2:

From the given problem we have,

The mean $\mu{}=122.6$

The standard deviation $\sigma{}=18.$

Here we have to find the cutoff score that will make a student eligible for the program.

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