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megaman104
19.03.2022 •
History
Briefly explain one development from the period of 1945 to 1990 that could be used to support the point of view you identified in Part A.
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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![mu\pm 2\sigma](/tpl/images/0222/3235/e2bba.png)
i.e.
(1)
Subtracting (1) from (2), we get
Let x be the random variable to represent the scores of every student.
Statistic z-score :![z=\dfrac{x-\mu}{\sigma}](/tpl/images/0222/3235/8ab38.png)
For x= 490, we have
The p-value =![P(z<-0.71)=0.2388521\approx23.89\%](/tpl/images/0222/3235/42663.png)
Hence, 23.89% of his classmates who scored lower than he did .