Researchers would like to test if the mean bone mineral density is different for the three different groups. Conduct an ANOVA test to determine if there is a difference in the means of the 3 groups. Use a level of significance of LaTeX: \alpha = 0.05α = 0.05. What are the null and alternative hypotheses?

H₀: μ₁ = μ₂= μ₃

Hₐ: At least one of the means is different.

Step-by-step explanation:

Analysis of variance or ANOVA test is used to determine whether the means of different groups are similar or not.

The hypothesis of an ANOVA test for n homogeneous groups is:

In this case the researcher is testing whether the mean bone mineral density is different for the three different groups.

The hypothesis for this test can be defined as follows:

H₀: The mean bone mineral density is not different for the three different groups, i.e. μ₁ = μ₂= μ₃

Hₐ: The mean bone mineral density is different for the three different groups, i.e. at least one of the means is different.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

correct choice is a

step-by-step explanation:

the equation of the line passing through the points and is

thus, the equation of the line that passes through the points (0, -6) and (-3, 0) is