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Exam scores for a large introductory statistics class follow an approximate normal distribution with an average score of 56 and a standard deviation of 5. The average exam score in your lab was 59.5. The 20 students in your lab sections will be considered a random sample of all students who take this class.
-What is the probability that the average score of a random sample of 20 students exceeds 59.5?
A)

Question

Use the following information for questions:
 Exam scores for a large introductory statistics class follow an approximate normal distribution with an average score of 56 and a standard deviation of 5. The average exam score in your lab was 59.5. The 20 students in your lab sections will be considered a random sample of all students who take this class.
-What is the probability that the average score of a random sample of 20 students exceeds 59.5?
A) < 0.0001
B) 0.0009
C) 0.0026
D) 0.2420

Quizplus · Accepted Answer

The probability is calculated using the standard normal distribution. The z-score is calculated as (59.5 - 56) / (5/√20), which gives a z-score of 3.13. The probability of a z-score greater than 3.13 is approximately 0.0009.

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