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expeople1 [14]
4 years ago
8

the mean score of a mathematics placement exam is 125 with a standard deviation of 12.51. those who score i the bottom 20% are r

equired to take a remedial course. assuming the data are not normally distributed, what is the lowest score you can get and not have to take the remedial math class?
Mathematics
1 answer:
Helga [31]4 years ago
4 0
You're looking for k such that

\mathbb P(X

Transforming the standard normal distribution, you have

\mathbb P(X

where k^* is the cutoff score in terms of this new distribution. The z-score corresponding to a probability of 0.20 is approximately z=k^*=-0.8416, which means the cutoff test score is

k^*=\dfrac{k-125}{12.51}\implies k=125+12.51k^*\approx114.47

Rounding to the nearest whole point, a score of about 114 is the bare minimum requirement to not have to take the remedial course.
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3 years ago
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Hope I helped,

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Step-by-step explanation:

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