Where are the deer? Random samples of square-kilometer plots were taken in diffe

Question

Where are the deer? Random samples of square-kilometer plots were taken in different ecological locations of Mesa Verde National Park. The deer counts per square kilometer were recorded and are shown in the following table. Mountain Sagebrush Pinon Brush Grassland Juniper 32 32 20 14 28 20 10 Shall we reject or accept the claim that there is no difference in the mean number of deer per square kilometer in these different ecological locations? Use a 10% level of significance. (a) What is the level of significance? 0.10 State the null and alternate hypotheses O Ho: Au u3; H1: Exactly two means are equal. O Ho: Au Al2 AL3; H1: At least two means are equa O Ho: Au u2 A13; H1: Not all the means are equa Ho: Au1 Au2 A13; H1: All three means are different (b) Find the value of the sample F statistic. (Use 3 decimal places.) (c) Find the P-value of the sample test statistic Use 4 decimal places.

Explanation / Answer

(a) 0.10

Ho: 1 = 2 = 3 and Ha: Not all means are equal

(b) 5.292

(c) 0.0302

(d) Option B

(e) Option B.

One factor ANOVA Mean n Std. Dev 28.0 4 5.66 Mountain Brush 28.0 4 17.81 Sagebrush Grassland 6.3 4 2.87 Pinon Juniper 20.8 12 14.57 Total ANOVA table Source SS    df MS F    p-value Treatment 1,261.50 2 630.750 5.292 .0302 Error 1,072.75 9 119.194 Total 2,334.25 11

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