3. a highly selective boarding school will only admit students who place at least 2 standard deviations…

3. a highly selective boarding school will only admit students who place at least 2 standard deviations above the mean on a standardized test that has a mean of 200 and standard deviation of 26. what is the minimum score that an applicant must make on the test?

3. a highly selective boarding school will only admit students who place at least 2 standard deviations above the mean on a standardized test that has a mean of 200 and standard deviation of 26. what is the minimum score that an applicant must make on the test?

Answer

Explanation:

Step1: Identify the formula

The formula for a value (x) in terms of the mean (\mu), standard - deviation (\sigma), and z - score (z) is (x=\mu + z\sigma).

Step2: Determine the values of (\mu), (z), and (\sigma)

We are given that (\mu = 200), (z = 2) (since students must place at least 2 standard deviations above the mean), and (\sigma=26).

Step3: Calculate the minimum score

Substitute the values into the formula: (x = 200+2\times26). First, calculate (2\times26 = 52). Then, (x=200 + 52=252).

Answer:

252