A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 470 seconds and a standard deviation of 60 seconds. The fitness association wants to recognize the boys whose times are among the fastest 10% with certificates of recognition. What time would the boys need to beat in order to earn a certificate of recognition from the fitness association? Round your answer to nearest tenth.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.