Provide an appropriate response. 32) A physical fitness association is including

Question

Provide an appropriate response. 32) A physical fitness association is including the mile run in its secondary-school fitness test. and a standard deviation of 40 seconds. Find the selected boy in secondary school can run the mile in less than The time for this event for boys in secondary school is known to possess a no distribution with a mean of 440 seconds probability that a randomly 348 seconds. rmal 33) 33) The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 7.0 minutes and a standard deviation of 1 minute. Find the cut-off time which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot.

Explanation / Answer

answer

mean = 440 seconds and standard deviation = 40.
z factor for less than 348 seconds would be:
z = (348 - 440) / 40 = -2.3
probability of getting a z factor of less than -2.3 = .0107240811 which can be rounded to .0107.

the probability of a student running the mile in less then 348 seconds would be .0107.

you can find this number by looking up in the z-table for a z factor of -2.3.

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