Question

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

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.

Mean= 6.2 hours

Standard deviation= 1.0 hour

​(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

Math   Statistics-And-Probability   
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Answer #1

Let "X" be the amount of time spent in sleeping in hours.

Refer Standard normal table/Z-table, Lookup for Z-value corresponding to area 0.05 to the right of the normal curve or use excel formula "=NORM.S.INV(1-0.05)" to find the Z-value.

Residents who get at least hours of sleep are in the top​ 5% of sleeping times.

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