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ic838847
22.04.2021 •
Mathematics
What is the answer to this equation?
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Ответ:
a)![Z = 0.0085](/tpl/images/1391/2259/e07c6.png)
b)![Z = 0.0095](/tpl/images/1391/2259/620d0.png)
c) ii. Amy
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Question a:
Nina took a test in English and earned a 71.8. In the English class had a mean of 71.7 and a standard deviation of 11.7.
This means that![X = 71.8, \mu = 71.7, \sigma = 11.7](/tpl/images/1391/2259/23005.png)
So
Question b:
Amy took a test in Social Studies and earned a 60.7. Students' test grades in Social Studies had a mean of 60.6 and a standard deviation of 10.5.
This means that![X = 60.7, \mu = 60.6, \sigma = 10.5](/tpl/images/1391/2259/ee6a2.png)
So
c) Which person did relatively better?
Amy had a higher z-score, so she did relatively better.