A New York Times article noted that the mean life span for 35 male symphony conductors was 73.4 years, in contrast to the mean of 69.5 years for males in the general population. Assuming that the 35 males have life spans with a standard deviation of 8.7 years, use a 0.05 significance level to test the claim that male symphony conductors live longer than males from the general population? Why doesn’t the experience of being a male symphony conductor cause men to live longer? (Hint: Are male symphony conductors born, or do they become conductors at a much later age?)