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Catching Some Z's : Z-Scores That Is!

APSTAT-LXKJ4B

Exhausted Emily finally got a good night sleep last night! The number of hours that she slept corresponds to a z-score of $1.5$.

What is the proper interpretation of this z-score?

A

Emily slept $1.5$ hours more than usual last night.

B

The number of hours that Emily slept last night was $1.5$ times the median number of hours of sleep that she gets.

C

About $93\%$ of the time, Emily gets less sleep than she got last night.

D

The number of hours of sleep that Emily got last night was $1.5$ standard deviations above the mean number of hours of sleep that she gets.

E

Emily got $1.5$ hours of sleep last night.