. A physical fitness association is including the mile run in its secondary-scho

Question

. 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. Between what times do we expect most (approximately 95%) of the boys to run the mile? . 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. Between what times do we expect most (approximately 95%) of the boys to run the mile?

Explanation / Answer

z score corresponding to 95% area in the middle = -1.96, 1.96

Hence,

Scores between which time required for most of the boys to run a mile will lie

= (470 - 1.96*60, 470 + 1.96*60)

= (352.4 seconds, 587.6 seconds)

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