Answer :
Answer:
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:
[tex]H_{0}: \mu_{1}= \mu_{2}= \mu_{3}...= \mu_{n}\\H_{a}: At\ least\ one\ of\ the\ means\ is\ different[/tex]
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.