FALL 2017 MAT 107 7068 uiz: Quiz 5 Submit Quiz 17 of 20 ne average time spent sl
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FALL 2017 MAT 107 7068 uiz: Quiz 5 Submit Quiz 17 of 20 ne average time spent sleeping (in hours) for a group of medical residonts at a hospital can be approxim nswer parts (a) and (b) below ated by a normal distribution, as shown in the graph to the night Sleeping Times of H- 62 houns 12 hour ck to sidents who get at leasthours of sleep are in the top 5% of sleeping tres ound to two decimal places as needed ) ) Between what two values does the middle 5 of the sloop times le? omide 50% of sloep tres les betwee hours on the low end and hours on the high end ound to two decimal places as needed ) 2/1/2017 Type here to searchExplanation / Answer
a)
Z value for top 5% = 1.645
Shortest time = Mean + z value *(Standard deviation)
=6.2 + 1.645 *(1.2)
=8.174
= 8.17 hours
b)
Z value for middle 50% = 0.67
hence
6.2 + (-0.67) *(1.2)= 5.40 and 6.2 + (0.67) *(1.2) = 7.00
5.40 on low end and 7.00 on high end.
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