GhostBoooty
11.02.2021 •
Mathematics
"A curious student in a large economics course is interested in calculating the percentage of his classmates who scored lower than he did on the GMAT; he scored 490. He knows that GMAT scores are normally distributed and that the average score is approximately 540. He also knows that 95% of his classmates scored between 400 and 680. Based on this information, calculate the percentage of his classmates who scored lower than he did."
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Ответ:
23.89%
Step-by-step explanation:
The empirical rule says that the 95% of the data falls in between two standard deviations of the mean.
Given : GMAT scores are normally distributed and the the average score is approximately .
Also, 95% of his classmates scored between 400 and 680.
Then, by empirical rule , 95% of data falls in between
i.e. (1)
(2)
Subtracting (1) from (2), we get
Let x be the random variable to represent the scores of every student.
Statistic z-score :
For x= 490, we have
The p-value =
Hence, 23.89% of his classmates who scored lower than he did .
Ответ:
15) C) 1/3
Step-by-step explanation: