In: Statistics and Probability
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.
mu equals 5.4 hours sigma equals 1.2 hour
A graph titled "Sleeping Times of Medical Residents" has a
horizontal axis labeled "Hours" from 1 to 10 in increments of 1. A
normal curve labeled mu = 5.4 hours and sigma = 1.2 hour is over
the horizontal axis and is centered on 5.4.
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.)
from Z-table, Lookup fro Z-value corresponding to area 0.05 to the right of the normal curve.
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Assume the mean to be symmetrically distributed
from Z-table, Lookup fro Z-value corresponding to area 0.25 to the left of the normal curve.
from Z-table, Lookup fro Z-value corresponding to area 0.25 to the right of the normal curve.