Twenty years ago, the mean age of inmates on death row at Jacksonville penitentiary was not less than 43.7 years (Data from the Department of justice). Ester, local justice-and-fairness advocate, claims that this number has decreased since then; she believes that younger individuals are being put on death row more than before. She randomly selected 35 inmates on death row and finds that their mean age is 37.2 years. Historically, the population standard deviation of the age distribution of inmates on death row is known to be 6.9 years. Can you support the local justice-and-fairness advocate's claim at a 0.025 level of significance? Assuming that the distribution inmates age on death row is normal.

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