The scores on a standardized test are normally distributed with a mean of 100 and standard deviation of 10. What test score is 2.2 standard deviations below the mean?

Answer 1

To find the test score that is 2.2 standard deviations below the mean, we can use the formula:

Test score = Mean - (Standard deviation) * (Number of standard deviations)

Plugging in the values:
Test score = 100 - (10) * (2.2)

Calculating:
Test score = 100 - 22

Test score = 78

Therefore, the test score that is 2.2 standard deviations below the mean is 78.