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
.

7

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.