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The mean mathematics SAT score was 566 and the standard deviation was 126. A sample of...

The mean mathematics SAT score was 566 and the standard deviation was 126. A sample of 70 scores is chosen. Use table A.2.   

Do you think it would be unusual for an individual to get a score greater than 567? Explain. Assume the variable is normally distributed.

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Answer #1

First find P(X>567)

= P567 - 566 P(Z> ( ))V70 126

= P(Z>0.066)

USE Normal table, we get

= 0.435

It is not unusual because this Probability is greater than 0.05

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