Answer:
(1) The between groups degrees of freedom is 2.
(2) TRUE.
(3) The correct option is (a).
Step-by-step explanation:
(1)
The between groups degrees of freedom for the study is:
![\text{df}_{B}=k-1\\=3-1\\=2](https://tex.z-dn.net/?f=%5Ctext%7Bdf%7D_%7BB%7D%3Dk-1%5C%5C%3D3-1%5C%5C%3D2)
Thus, the between groups degrees of freedom is 2.
(2)
The hypothesis for he one-way ANOVA is:
<em>H</em>₀: All the means are equal.
<em>Hₐ</em>: At least one of the mean is not equal.
The output of the ANOVA test is attached below.
The <em>p</em>-value of the test is 0.00005.
<em>p</em>-value = 0.00005 < <em>α</em> = 0.05
Thus, the result is statistically significant.
The statement is TRUE.
(3)
As the <em>p</em>-value of the test is less than the significance level, the researcher should make the decision to reject the null hypothesis.
The correct option is (a).