Candidates for employment at a city fire department are required to take a written aptitude test. scores on this test are normally distributed with a mean of 280 and a standard deviation of 60. a random sample of nine test scores was taken.

If a sample of 9 test scores is taken, there is approximately a 68% chance that the scores will be between the scores of 220 and 340, a 95% chance that they will be between 160 and 400 and a 99.7% chance the scores will be between 100 and 460.