There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. What are they? State the null hypothesis for a one-way ANOVA test if there are four groups.

State appropriate null and alternative hypothesis in this setting.

State the four assumptions required for one-way ANOVA. How crucial are these assumptions?

What is the difference between the one-way ANOVA $F$ test and the Levene test?

What is the usual way of writing a null hypothesis and alternative hypothesis in hypothesis testing?

What are the requirements to perform a one-way ANOVA? Is the test robust?

An F statistic can have what values?

When do you use an ANOVA test?

Find the difference in the mean of the two test groups. Would difference in means be a good statistic for determining statistical significance in this situation?

A landscaping company is hired to mow the grass for several large properties. The total area of the properties combined is 1,345 acres. The rate at which one person can mow is as follows: $\hat{y}=1350-1.2 x$ where x is the number of hours and $\hat{y}$ represents the number of acres left to mow. How many acres will be left to mow after 100 hours of work?

What assumptions are required in using the one-way ANOVA?

When testing the significance of the correlation coefficient, what is the null hypothesis?

Groups of men from three different areas of the country are to be tested for mean weight. The entries in the table are the weights for the different groups. The one-way ANOVA results are shown in Table 13.13. What is the Sum of Squares Error?

$$\begin{matrix} \text{Group 1} & \text{Group 2} & \text{Group 3}\\ \text{216} & \text{202} & \text{170}\\ \text{198} & \text{213} & \text{165}\\ \text{240} & \text{284} & \text{182}\\ \text{187} & \text{228} & \text{197}\\ \text{176} & \text{210} & \text{201}\\ \text{Table 13.13}\\ \end{matrix}$$

What is the process through which we can calculate a line that goes through a scatter plot with a linear pattern?