Question 1207891: 1. Which of the following values may be analyzed using one-way ANOVA?
a. the difference between more than two population means
b. the difference between two population variances
c. the difference between two sample population proportions
d. the difference between two sample means
Found 3 solutions by math_tutor2020, ikleyn, Edwin McCravy:
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
Answer: Option A
One possible null hypothesis would be 𝜇1 = 𝜇2 = 𝜇3 = 𝜇4 comparing 4 different population means. The alternative hypothesis would be something along the lines of "at least one mean is different from the others".
Options B, C, and D all have their own separate hypothesis tests that aren't a one-way ANOVA.
Answer by ikleyn(52872)  (Show Source):
Answer by Edwin McCravy(20063)  (Show Source):
You can put this solution on YOUR website!
Artificial intelligence is amazing, but I hate to think what the end result
might be. Stephen Hawking said this:
"I fear that AI may replace humans altogether. If people design computer
viruses, someone will design AI that improves and replicates itself. This will
be a new form of life that outperforms humans."
Anyway, I just copied and pasted your question:
1. Which of the following values may be analyzed using one-way ANOVA?
a. the difference between more than two population means
b. the difference between two population variances
c. the difference between two sample population proportions
d. the difference between two sample means
into this AI (Artificial Intelligence) site,
https://poe.com/chat/3ge9g45z6bn0djcfet7
and it came up with this:
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The correct answer is 'a'. the difference between more than two population means.
One-way ANOVA (Analysis of Variance) is used to analyze the difference between
the means of more than two populations or groups. It allows you to determine if
there is a statistically significant difference among the means of three or more
independent groups.
The other options are not appropriate for a one-way ANOVA:
b. The difference between two population variances is analyzed using an F-test,
not a one-way ANOVA.
c. The difference between two sample population proportions is analyzed using a
z-test or a chi-square test, not a one-way ANOVA.
d. The difference between two sample means is analyzed using a t-test, not a
one-way ANOVA.
In summary, a one-way ANOVA is used to compare the means of more than two
populations or groups, making option 'a' the correct answer.
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Edwin
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