New York Times article noted that the mean life span for ...
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?)
We have test the claim that ( > 69.5 years.
1) Hypothesis:
Null Hypothesis: H0: ( = 69.5
Alternative Hypothesis: H1: ( > 69.5.
2) Critical Values:
The critical value is 1.645
3) Test Statistic:
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4) Conclusion:
The value 2.652 lies in the critical region; therefore we reject the null hypothesis. There is sufficient evidence to support the claim that male symphony conductors live longer than males from the general population.
It s hard to answer the question of why doesn't the experience of being a male symphony conductor cause men to live longer because the question is unclear as to whether the sample is taken from a population of symphony conductors; if it was then we have just proved that they do in fact live longer and if the sample was taken from the general population, then we have also just proved that they do live longer than 69.5
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