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 Brush Sagebrush Grassland Pinon Juniper 25 18 5 30 63 12 15 13 7 33 20 7 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 1% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. H_o:mu_H1 = mu_2 = mu_3; H_1: At least two means are equal. H_o: mu_1 = mu_2 = mu_3; H_1: Not all the means are equal. H_o: mu_1 = mu_2 = mu_3; H_1: All three means are different. H_o: mu_1 = mu_2 = mu_3; H_1: Exactly two means are equal. 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) Level of significance =1%

Option b is correct

H0: All the treatment means are equal

H1: Atleast one treatment mean is not equal to zero

b) From Excel

F cal=2.5036

c) P value=0.1366 >0.01, we fail to reject H0. Hence claim is not significant

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Mountain 4 103 25.75 62.25 Sagebrush 4 114 28.5 537.6667 Pinon 4 31 7.75 8.916667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 1016.167 2 508.0833 2.503559 0.136622 8.021517 Within Groups 1826.5 9 202.9444 Total 2842.667 11

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.