Questions: Find the p-value for Factor B p-value = (Round to three decimal places as needed.) Draw the appropriate conclusion for Factor B. Choose the correct answer below. A. Do not reject the null hypothesis. There is insufficient evidence to conclude that not all Factor B means are equal. B. Reject the null hypothesis. There is sufficient evidence to conclude that not all Factor B means are equal. C. Do not reject the null hypothesis. There is sufficient evidence to conclude that the means differ. D. It is inappropriate to draw a conclusion from this test because the Factors A and B interact.

Solution Steps

1. To find the $p$-value for Factor $B$, we need to perform an appropriate statistical test, such as ANOVA (Analysis of Variance), if the data is available.
2. Once the $p$-value is calculated, we can compare it to a significance level (commonly 0.05) to draw a conclusion.
3. If the $p$-value is less than the significance level, we reject the null hypothesis; otherwise, we do not reject it.

We are given a $p$-value for Factor $B$ and need to determine the appropriate conclusion based on this $p$-value. The $p$-value is not provided directly in the question, so we will assume it is given or calculated from previous steps.

The null hypothesis ($H_0$) and the alternative hypothesis ($H_a$) for Factor $B$ are:

• $H_0$: All Factor $B$ means are equal.
• $H_a$: Not all Factor $B$ means are equal.

To draw a conclusion, we compare the $p$-value to a significance level $\alpha$ (commonly 0.05). The decision rules are:

• If $p$-value $\leq \alpha$, reject $H_0$.
• If $p$-value $> \alpha$, do not reject $H_0$.

Final Answer