Question

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

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 175 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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Mean = 520

std dev = 175

n = 35

=> P (Z>0.27)

- 1 - P(Z<0.27)

= 1 -0.6064 = 0.3936

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