The Average time spent sleeping (in hours), for a group of medical resident at a
ID: 3063262 • Letter: T
Question
The Average time spent sleeping (in hours), for a group of medical resident at a hospital can be approximated by a normal distribution as shown in the graph to the right. A) what is the shortest time spent sleeping that would still play some resident in the top 5% of sleeping times? B) Between what two values does the middle 50% Of the sleeptime lie? The Average time spent sleeping (in hours), for a group of medical resident at a hospital can be approximated by a normal distribution as shown in the graph to the right. A) what is the shortest time spent sleeping that would still play some resident in the top 5% of sleeping times? B) Between what two values does the middle 50% Of the sleeptime lie? The Average time spent sleeping (in hours), for a group of medical resident at a hospital can be approximated by a normal distribution as shown in the graph to the right. A) what is the shortest time spent sleeping that would still play some resident in the top 5% of sleeping times? B) Between what two values does the middle 50% Of the sleeptime lie? A) what is the shortest time spent sleeping that would still play some resident in the top 5% of sleeping times? B) Between what two values does the middle 50% Of the sleeptime lie? Sleeping Times of Medical Residents = 6.5 hours = 1.0 hour 3 4 5 6 78 9 10 HoursExplanation / Answer
a) for top 5% ;a t 95th percentile z score =1.64
therefore corresponding sleeping time =mean +z*std deviation =6.5+1.64*1 =8.14 Hours
b) middle 50% values are 0.6745 std deviation from mean
hence middle 50% Of the sleeptime lie =mean -/+z*std deviation =6.5-/+0.67*1 =5.83 to 7.17 Hours
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