Question

Another fourth grader also grew bean plants, but this time in a jelly-like mass. The heights were (in inches) $24,28,25,30,32$. Do a one-way ANOVA test on the four groups. Are the heights of the bean plants different? Use the same method as shown in Example 13.4.

Short answer

According to the output, the P-value is$.44$. So, at the$5\%$ level of significance null hypothesis will be accepted. Thus, there is not any evidence to conclude that the mena height if the bean plants are different.

Step-by-step solution

Step-1 Given Information

Given in the question that the fourth grade children grew bean plants,were the heights are$24,28,25,30,32$.

Step-2 Explanation

Consider the provided data in the table 13.9 and in the problem to solve the problem:

Tommy's plants	Tara's plants	Nick's plants	Fourth grader
24	25	23	24
21	31	27	28
23	23	22	25
30	20	30	30
23	28	20	32

To check the height of bean plants,use$TI-83$calulator.for this click on STAT$\to$press 1 $\to$EDIT,then put data into the list $L_1,L_2,L_3,L_4$. the screenshot is given below:

Now Again press STAT $\to$arrow over the TESTS $\to$arrow down to ANOVA $\to$Press var then select1, press var then select 2, press var then select 3 , and press var then select 4 to fill the values of $L_1,L_2,L_3,L_4$. The screen shot is given as below:

Press ENTER. the screenshot of output is given below:

According to the above output, the P-value is$.44$. So, at the $5\%$level of significance null hypothesis will be accepted. Thus, there is not any evidence to conclude that the mean height if the bean plants are different.