42. ACT Scores In 2001, the national mean ACT Math score was 20.7, with an approximate standard deviation of 6 . ACT scores in the general population have a normal distribution.
(a) Approximately what percentage of the 2001 scores were higher than 26.7?
(b) Approximately what ACT Math score would one need to make in 2001 to be ranked among the top 2.5% of all who took the test?
(c) Writing to Learn Mean ACT scores are published state by state. If we add up the 50 state means and divide by 50 , will the result be a good estimate for the national mean score? Explain your answer.