Answer the following questions about an ANOVA analysis involving three

Nicontio1 2021-12-11 Answered
Answer the following questions about an ANOVA analysis involving three samples.
a. In this ANOVA analysis, what are we trying to determine about the three populations they’re taken from?
b. State the null and alternate hypotheses for a three-sample ANOVA analysis.
c. What sample statistics must be known to conduct an ANOVA analysis?
d. In an ANOVA test, what does an F test statistic lower than its critical value tell us about the three populations we’re examining?

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Expert Answer

GaceCoect5v
Answered 2021-12-12 Author has 3283 answers
Step 1
It is given that there are three samples involve in the ANOVA. Therefore,
a).
The ANOVA is a technique which is used to determine whether the population of more than two groups are significantly different or not.
Here, there are 3 sample groups available in the ANOVA, it means that the population means would be 3 as well.
Thus, for the given case, we are trying to determine whether these three population groups' means are significantly different or not.
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Bob Huerta
Answered 2021-12-13 Author has 4510 answers
Step 1
b).
As per the above,
Consider that \(\displaystyle\mu_{{{1}}},\mu_{{{2}}}\ {\quad\text{and}\quad}\ \mu_{{{3}}},\) are the population means for these 3 samples.
Thus, the null and alternate hypotheses are:
\(\displaystyle{H}_{{{0}}}:\mu_{{{1}}}=\mu_{{{2}}}=\mu_{{{3}}},\)
\(\displaystyle{H}_{{{1}}}:\)(At least one mean is different)
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