For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 180. The grading process of this year's exam has just begun. The average score of the 40 exams graded so far is 524. What is the probability that a sample of 40 exams will have a mean score of 524 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of
180. The grading process of this year's exam has just begun. The average score of the 40 exams graded so far is 524. What is the probability that a sample of
40 exams will have a mean score of 524 or more if the exam scores follow the same distribution as in the past?
Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
Transcribed Image Text:For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 180. The grading process of this year's exam has just begun. The average score of the 40 exams graded so far is 524. What is the probability that a sample of 40 exams will have a mean score of 524 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
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