Problem

Mongolian desert ants. Refer to the Journal of Biogeography (December 2003) study of ants...

Mongolian desert ants. Refer to the Journal of Biogeography (December 2003) study of ants in Mongolia (central Asia), presented in Exercise. Data on the number of ant species attracted to 11 randomly selected desert sites are saved in the GOBIANTS file. Do these data indicate that the standard deviation of the number of ant species at all Mongolian desert sites exceeds 15 species? Conduct the appropriate test at α =.05. Are the conditions required for a valid test satisfied?

Mongolian desert ants. Refer to the Journal of Biogeography (December 2003) study of ants in Mongolia (central Asia), presented. Recall that botanists placed seed baits at 11 study sites and observed the number of ant species attracted to each site. A portion of the data (saved in the GOBIANTS file). Do these data indicate that the average number of ant species at Mongolian desert sites differs from 5? Conduct the appropriate test at α = .05. Are the conditions required for a valid test satisfied?

Site

Region

Number of Ant Species

1

Dry Steppe

3

2

Dry Steppe

3

3

Dry Steppe

52

4

Dry Steppe

7

5

Dry Steppe

5

6

Gobi Desert

49

7

Gobi Desert

5

8

Gobi Desert

4

9

Gobi Desert

4

10

Gobi Desert

5

11

Gobi Desert

4

Based on Pfeiffer, M., et al. “Community organization and species richness of ants in Mongolia along an ecological gradient from steppe to Gobi desert.” Journal of Biogeography, Vol. 30, No. 12, Dec. 2003. (Tables 1 and 2).

Mongolian desert ants. The Journal of Biogeography (Dec. 2003) published an article on the first comprehensive study of ants in Mongolia (Central Asia). Botanists placed seed baits at 11 study sites and observed the ant species attracted to each site. Some of the data recorded at each study site are provided in the table on the next page and saved in the GOBIANTS file.

a. Find the mean, median, and mode for the number of ant species discovered at the 11 sites. Interpret each of these values.


b. Which measure of central tendency would you recommend to describe the center of the number-of-ant-species distribution? Explain.


c. Find the mean, median, and mode for the percentage of total plant cover at the five Dry Steppe sites only.


d. Find the mean, median, and mode for the percentage of total plant cover at the six Gobi Desert sites only.

Site

Region

Annual Rainfall (mm)

Max. Daily Temp. (°C)

Total Plant Cover (%)

Number of Ant Species

Species Diversity Index

1

Dry Steppe

196

5.7

40

3

.89

2

Dry Steppe

196

5.7

52

3

.83

3

Dry Steppe

179

7.0

40

52

1.31

4

Dry Steppe

197

8.0

43

7

1.48

5

Dry Steppe

149

8.5

27

5

.97

6

Gobi Desert

112

10.7

30

49

.46

7

Gobi Desert

125

11.4

16

5

1.23

8

Gobi Desert

99

10.9

30

4

 

9

Gobi Desert

125

11.4

56

4

.76

10

Gobi Desert

84

11.4

22

5

1.26

11

Gobi Desert

115

11.4

14

4

.69

Based on Pfeiffer, M., et al. “Community organization and species richness of ants in Mongolia along an ecological gradient from steppe to Gobi desert.” Journal of Biogeography, Vol. 30, No. 12, Dec. 2003 (Table).

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