Question

The data in the table represent the number of corn plants in randomly sampled rows (a 17-foot by a 5-inch strip) for various types of plot. An agricultural researcher wants to know whether the mean numbers of plants for each plot type are equal.

Plot Type                                                 Number of Plants
Sludge Plot	25	27	33	30	28	27
Spring Disk	32	30	33	35	34	34
No till	30	26	29	32	25	29

a. Based on the information given about the corn plants, complete the ANOVA below.

Source	DF	SS	MS	F
Treatment		84.11
Error		88.83

Total 172.94  

b. The p-value for this statistic is 0.007. Explain the meaning of the p-value in the contest of the problem, and test hypothesis of equal means at the α = 0.05 level of significance .

Answer 1

ANSWER;

a)

ANOVA:

source	DF	SS	MS	F	P- value
Regression	2	84.11	36.372	7.00	0.007
Error	15	88.33	5.196
Total	17	172.94

MS Residual = SS residual / DF

= 88.33 / 17 = 5.196

P -value given is 0.007

At F = 7.00 we get P -value is 0.007 (by using F -ratio calculator( =0.05))

F - statistic = (MS Regression / MS residual)

MS  Regression = F - statistic * MS residual

= 7 * 5.196 = 36.372

b)

P -value = 0.007 & =0.05

P- value <

so, we reject the null hypothesis

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