In a field study of mating behavior in the Mormon cricket (Anabrus simplex), a biologist noted that some females mated successfully while others were rejected by the males before coupling was complete. The question arose whether some aspect of body size might play a role in mating success. The accompanying table summarizes measurements of head width (mm) in the two groups of females.45
(a) Construct a 95% confidence interval for the difference in population means.
(b) Interpret the confidence interval from part (a) in the context of this setting.
(c) Using your interval computed in (a) to support your answer, is there strong evidence that the population mean head width is indeed larger for successful maters than unsuccessful maters?

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Successful Unsuccessful 1 17 8.498 0.283 8.440 0.262