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Marta_Voda [28]
4 years ago
7

A highly selective boarding school will only admit students who place at least 2.5 standard deviations above the mean on a stand

ardized test that has a mean of 300 and a standard deviation of 24. What is the minimum score that an applicant must make on the test to be​ accepted?
Mathematics
1 answer:
VladimirAG [237]4 years ago
8 0

Answer:

The minimum score that an applicant must make on the test to be​ accepted is 360.

Step-by-step explanation:

Given : A highly selective boarding school will only admit students who place at least 2.5 standard deviations above the mean on a standardized test that has a mean of 300 and a standard deviation of 24.

To find : What is the minimum score that an applicant must make on the test to be​ accepted?

Solution :

We apply the z formula,

z=\frac{x-\mu}{\sigma}

Where, z value= 2.5

\mu=300 is the mean of the population

\sigma=24 is the standard deviation

x is the sample mean.

Substituting the values in the formula,

2.5=\frac{x-300}{24}

2.5\times24=x-300

60=x-300

x=60+300

x=360

Therefore, The minimum score that an applicant must make on the test to be​ accepted is 360.

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