Applying the Concepts and SkillsIn Exercises, perform a Kruskal–Wallis test by using either the critical-value approach or the P-value approach.Spider Mites. The reproduction capability of spider mites infected with a bacteria called Cardinium was studied in the article “Cardinium Symbionts Cause Cytoplasmic Incompatibility in Spider Mites” (Heredity, Vol. 98, No. 1, pp. 13–20) by T. Gotoh et al. Infected mites were crossed with mites treated with antibiotics. The following table shows the number of eggs per female for each combination tested. Here we use “A” for antibiotic-treated, “I” for infected, “M” for male, and “F” for female. IF&IM IF&IM AF&IM AF&AM 18 26 11 19 19 21 18 22 22 19 22 16 19 19 17 20 22 20 13 18 18 17 19 19 25 17 5 17   22   14 At the 10% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean number of eggs among the four combinations?

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Applying the Concepts and Skills
In Exercises, perform a Kruskal–Wallis test by using either the critical-value approach or the P-value approach.
Spider Mites. The reproduction capability of spider mites infected with a bacteria called Cardinium was studied in the article “Cardinium Symbionts Cause Cytoplasmic Incompatibility in Spider Mites” (Heredity, Vol. 98, No. 1, pp. 13–20) by T. Gotoh et al. Infected mites were crossed with mites treated with antibiotics. The following table shows the number of eggs per female for each combination tested. Here we use “A” for antibiotic-treated, “I” for infected, “M” for male, and “F” for female.

IF&IM IF&IM AF&IM AF&AM
18 26 11 19
19 21 18 22
22 19 22 16
19 19 17 20
22 20 13 18
18 17 19 19
25 17 5 17
  22   14

At the 10% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean number of eggs among the four combinations?

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