The average time spent sleeping (in hours) for a group of medical residents at a

Question

The average time spent sleeping (in hours) for a group of medical residents at a hospital can be approximated by a normal distribution, as shown in the graph to the right. Answer parts (a) and (b) below. Sleeping Times of Medical Residents Q, H-5.6 hours : 1.0 hour Hours (a) What is the shortest time spent sleeping that would still place a resident in the top 5% of sleeping times? Residents who get at least hours of sleep are in the top 5% of sleeping times Round to two decimal places as needed.) (b) Between what two values does the middle 50% of the sleep times lie? The middle 50% of sleep times lies between hours on the low end and hours on the high end. Round to two decimal places as needed.) nter your answer in each of the answer boxes.

Explanation / Answer

a)

fo top 5% ; crtiical value of z =1.645

therefore corresponding value =mean+z*Std deviaiton=5.6+1.645*1 =7.245~ 7.25 Hours

( please try 7.24 if this comes wrong and revert)

b)

for middle 50% ; values z =-/+0.674

hence  corresponding value =mean-/+z*Std deviaiton=4.93 ; 6.27

threrefore ... beteween 4.93 hours on the low end and 6.27 Hours on the high end

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