For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 520 and a standard deviation of 180 . The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 528 . What is the probability that a sample of 35 exams will have a mean score of 528 or more if the exam scores follow the same distribution as in the past?

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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For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of
520

and a standard deviation of
180

. The grading process of this year's exam has just begun. The average score of the
35

exams graded so far is
528

. What is the probability that a sample of
35

exams will have a mean score of
528

or more if the exam scores follow the same distribution as in the past?

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