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Minnesota State University, Mankato Initial information analyses indicate that you can reasonably utilize non-pooled t-procedures. For each exercise, apply a non-pooled t-test to perform the needed hypothesis test, utilizing either the critical-value approach or the P-value method. Wing Length. D. Cristol et al. released outcomes of their studies of two subspecies of dark-eyed juncos in the article "Migratory Dark-Eyed Juncos.

Have Much Better Spatial Memory and Denser Hippocampal Nerve Cells than Nonmigratory Conspecifics" (Animal Behaviour, Vol. 66, pp. 3 17-328).  8et.asia  of the subspecies migrates each year, and the other does not migrate. Several physical qualities of 14 birds of each subspecies were measured, among which was wing length. The following data, based on outcomes obtained by the scientists, supply the wing lengths, in millimeters (mm), for the samples of 2 subspecies.

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At the $1 \%$ significance level, do the data offer sufficient proof to conclude that the mean wing lengths for the 2 subspecies are different? (Note: The mean and basic discrepancy for the migratory-bird data are $82. 1 \ mathrm mm $ and $1. 501 \ mathrm mm $, respectively, and that for the nonmigratorybird data are $84.

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698 \ mathrm mm,$ respectively.) b. Would it be reasonable to utilize a pooled $t$ -test here? Describe your response. c. If your response to part (b) was yes, then carry out a pooled $t$ -test to address the concern in part (a) and compare your results to that found in part (a) by utilizing a nonpooled $t$ -test.

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