Free One sample tests for means Practice Problems • Learn To Be

The National Sleep Foundation recommends that teenagers aged

14

17

get at least

8

hours of sleep per night for proper health and wellness. But do teens really get enough sleep?

A statistics class at a large high school suspects that students at their school are getting less than

8

hours of sleep. To test their theory, they randomly sample

42

of these students and ask them how many hours of sleep they get per night.

The figure below displays information from a one-sample

t

test about the mean using the collected data.

One-Sample T: Sleep
Variable	N	Mean	StDev	SE Mean	T
Sleep (hours)	42	7.5	1.6	0.12	-2.03

Assuming that all the necessary conditions for this test of significance are met, what conclusion should be drawn at the $\alpha=0.01$ level?

Choose 1 answer:

A
There is not convincing evidence at the $\alpha=0.01$ level that the average amount of sleep that students at this high school get per night is less than $8$ hours because the $p$ -value for the significance test is greater than $0.01$ .
B
There is not convincing evidence at the $\alpha=0.01$ level that the average amount of sleep that students at this high school get per night is less than $8$ hours because the $p$ -value for the significance test is less than $0.01$ .
C
There is convincing evidence at the $\alpha=0.01$ level that the average amount of sleep that students at this high school get per night is less than $8$ hours because the $p$ -value for the significance test is greater than $0.01$ .
D
There is convincing evidence at the $\alpha=0.01$ level that the average amount of sleep that students at this high school get per night is less than $8$ hours because the $p$ -value for the significance test is less than $0.01$ .
E
Not enough information is provided to determine the $p$ -value and draw conclusions for this significance test.

One sample tests for means