F17_latestart_M13A7_40492 Intro Statistics (T Th 3-5:15P) wesley xiao 11/7/17 3:
ID: 3357559 • Letter: F
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F17_latestart_M13A7_40492 Intro Statistics (T Th 3-5:15P) wesley xiao 11/7/17 3:58 PM Test: Chapter 5 Exam Submit Test This Question: 1 pt 22 of 26 (13 complete) This Test: 26 pts possible 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 6.1 hours = 1.3 hour 6 9 10 11 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.) Enter your answer in each of the answer boxesExplanation / Answer
a) z score for top 5% area = 1.645
Hence,
Shortest time = 6.1 + 1.645*1.3 = 8.24 hours
b) z score for 25% area to its left = -0.67
z score for 25% area to its right = 0.67
Hence,
Middle 50% of sleeping time range
= (6.1 - 0.67*1.3, 6.1 + 0.67*1.3)
= 5.23 to 6.97
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