the goal is to determine whether cedar glades and grassland barrens of a state support various diversities of arthropods.A sweep net was used to collect arthropods from six glade and six grassland sites, and then measured arthropod species richness (i.e. the number of species) in each sample.

Cedar Glades

6

15

9

11

11

8

Grassland Barrens

11

11

13

12

24

14

Assume these data meet assumptions of normality. use a level of significance of = 0.05 for all the following.

a. Conduct an F test to determine whether the variances between these two datasets differ. Report the test statistic and the critical value. Are the variances equal or unequal?

b. Based on the results from (a.) select an appropriate parametric two sampled test. State the null and alternative hypotheses. Perform the appropriate test using 2 decimal places in the calculations. Show all work.

c What is the critical value (t_c) based on ?

d. state conclusion based on the statistical results reject or not reject and biological relevance.