The distribution of SAT math scores in recent years has been Normal with mean 518 and standard deviation 114. ACT math scores are Normally…

  1. The distribution of SAT math scores in recent years has been Normal with mean 518 and standard deviation 114. ACT math scores are Normally distributed with mean 20.7 and standard deviation 5.0. Amy scored a 680 on the SAT math and Paul scored a 27 on the ACT math. Assuming that both scores measure the same kind of ability, who scored better
  2. Assume the cholesterol levels of adult American women are Normally distributed with a mean of 188 mg/dL and a standard deviation of 24 mg/dL. What percentage of adult women have cholesterol levels above 215 mg/dL? Also, what percentage of adult women have cholesterol levels between 175 and 230 mg/dL?
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