Question

**The null and alternative hypotheses for a one-way ANOVA test are:**

***Suppose that in reality the null hypothesis is false.
Does this mean that no two of the populations have the same mean?
Please explain your answer.**

Answer #1

If the null hypothesis for the one way ANOVA is false in reality, then this does not mean that no two of the populations have the same mean. See, the null and alternative hypotheses for a one way ANOVA test are given as below:

Null hypothesis: H_{0}: All population means are
same.

Alternative hypothesis: H_{a}: At least two population
means are different.

‘At least two population means are different’ does not imply that ‘no two of the population means are same’. Two population means would be same, and for another pair, two population means would not be same.

So, we cannot conclude that **no two of the populations
have the same mean if suppose that in reality the null hypothesis
is false.**

In a one-way ANOVA, what does it mean to reject the statement
in the null hypothesis if three treatment groups are being
compared? Choose the correct answer below. A. Rejecting the
statement in the null hypothesis means that there is insufficient
evidence to conclude that the mean of one of the populations is
different than the other two or that all three populations are
different. B. Rejecting the statement in the null hypothesis means
that there is sufficient evidence to...

You were comparing four treatments in a one-way ANOVA (or simply
ANOVA in our class) and obtained a significant test statistic. How
would you interpret the alternative hypothesis HA in words? justify
your answer
a)At least two treatments are different from each other in terms
of their effect on the mean response.
b)All of the above.
c)None of the above.
d)Exactly two of the four treatments have the same effect on the
mean response.
e)All four treatments have different effects...

To perform a test of the null and alternative hypotheses shown
below, random samples were selected from the two normally
distributed populations with equal variances. The data are shown
below. Test the null hypothesis using an alpha level equal to
0.10.
Sample from Population 1: 38,28,28,39,39,33,29,37,43,38
Sample from Population 2: 45,53,37,47,44,38,43,46,46,41
H0: ?1 ? ?2 = 0
HA: ?1 – ? ? 0
Determine the rejection region for the test statistic t. Select
the correct choice below and fill in...

True or False:
A. You can perform a two-way ANOVA only when the sample
sizes are the same in all cells.
B. When interaction is present in a two-way ANOVA, the
main effects are always uninformative.
C. ANOVA assumes that the populations are Normal with
possibly different means and the same standard deviation and that
independent simple random samples are drawn from each
population.
D. ANOVA separates the total variation into parts of the
model and error. The model variation...

1. Which of the following statements are true of One-way
ANOVA test?
a. It is a robust test (with sufficiently large samples and
relatively equal groups) even when the sample data are
statistically significantly different from normal distribution.
b. All of the other statements are correct.
c. It involves a dependent variable measured on a continuous
scale.
d. It involves an independent variable measured on a categorical
scale with 2+ groups/categories.
e.It compares the mean/average scores of the 2+ groups...

One way Anova Test Question. If I am trying to make an apple pie
and I want to use an ANOVA test, could I compare different types of
apples (such as Gala vs. Fuji) as a factor?
And if so what would the null and alternative hypothesis be? And
which test would I use for the test of significance and hypothesis
test?

1. A “one-way” between-subjects ANOVA is conducted when data are
recorded in one group.
True
False
2. Post hoc tests control for the total alpha level for a series
of tests conducted on the same data.
True
False
3. All post hoc tests control for the effect size of a
significant result.
True
False
4. A one-way between-subjects ANOVA is conducted to test for
mean differences between the levels of two or more factors.
True
False
5. A researcher conducts...

state the null and alternative hypotheses (complete step 1 of
the hypothesis test.)
Conduct a hypothesis test to determine if the mean time to
write a stats final for 22 professors is significantly different
from 118 minutes.

Perform a hypothesis for the null and alternative
hypotheses:
??:?? =? ??:?? <?
The following is the sample information.
?̅=?.? ?? =?.? ?=?? ?=?.??
a. (1 point) Calculate the appropriate test statistic, p-value,
and give a general conclusion of reject or fail to reject the null
hypothesis based on the significance level. Show all work
b. (1 point) Now suppose you know ?? = 1.2. Calculate the
appropriate test statistic, p-value and give a general conclusion
of reject or fail...

Respond to each of the following questions using this partially
completed one-way ANOVA table. Source SS DF MS F Between 470 Within
40 Total 1264 44 (a). How many different populations are being
compared? (b). Fill in the ANOVA table with the missing (c). State
the appropriate null and the alternative (d). Based on the analysis
of variance F-test, what conclusion should be reached regarding the
null hypothesis? Test Using an α =0.05.

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