Question

a highly selective boarding school will only admit students who place at least 1.5 standard deviations above the mean on a standardized test that has a mean of 100 and a standard deviation of 20. what is the minimum score that an applicant must make on the test to be​ accepted?

Answer 1

Answer:

130

Step-by-step explanation:

According to the question above,we were told to find out the minimum score an applicant(in this case we are dealing with students since it is a school) must make in order to be accepted and start studying.

This highly selective boarding school in question will only accept students who at least place 1.5 standard deviations above the mean standardized test that has a mean of 100 and standard deviation of 20.

Here we have the above information necessary to calculate the minimum score which we will explain below

Here we use x = zs+u to solve for Y

Y = 1.5×20+ 100

Y = 30+100

Y= 130

Therefore the minimum score is 130

Answer 2

Answer:

The mean is given by: $\mu = 100$

And the deviation is given by $\sigma =20$

And for this case we are interested in the minimum score that an applicant must make on the test to be​ accepted

And we know that the score to be accepted needs to be at least 1.5 deviations above the mean, so we can calculate the minimum score with the following formula:

$Minimum = 100 +1.5*20=130$

So then the the minimum score that an applicant must make on the test to be​ accepted is 130

Step-by-step explanation:

For this case we have the following info:

The mean is given by: $\mu = 100$

And the deviation is given by $\sigma =20$

And for this case we are interested in the minimum score that an applicant must make on the test to be​ accepted

And we know that the score to be accepted needs to be at least 1.5 deviations above the mean, so we can calculate the minimum score with the following formula:

$Minimum = 100 +1.5*20=130$

So then the the minimum score that an applicant must make on the test to be​ accepted is 130