What are the null and alternative hypotheses? Use μ
= mean hours of sleep for LMC students.
(0
H
0
: =7.12
μ
=
7.12
) and (
H
a
: <7.12
μ
<
7.12
)
(0
H
0
: =6.9
μ
=
6.9
) and (
H
a
: <6.9
μ
<
6.9
)
(0
H
0
: =6.9
μ
=
6.9
) and (
H
a
: ≠6.9
μ
≠
6.9
)
Correct. The null hypothesis is a claim of “no difference.” It says “the average for college students is the same as the average reported for all Americans.” So =6.9
μ
=
6.9
. The alternative hypothesis reflects our claim. This scenario tells us that the student “wondered if the average...is different for LMC students.” This says ≠6.9
μ
≠
6.9
.