Two subspecies of dark-eyed juncos were studied by D. Cristol et al. One of the sub- species migrates each year, and the other does not. Several characteristics of 14 birds of each subspecies were measured, one of which was wing length. The following data, based on the results of the researchers, provide the wing lengths, in millimeters, for the samples of two subspecies. Assume that wing lengths in populations of subspecies are normally distributed. Migratory: n = 14, x ̄ = 82.1, s = 1.5 111 Non-migratory: n = 14, x ̄ = 84.92, s = 1.69 222 Conduct a hypothesis test to determine if the average wing lengths in two populations of subspecies are significantly different. (i.) State the hypotheses. (ii.) Test for equality of unknown population variances. (iii.) Calculate test statistic. (iv.) Calculate degrees of freedom. (v.) Calculate the p−value of the test. (vi.) State your decision based on the p−value. (vii.) Write the interpretation
Two subspecies of dark-eyed juncos were studied by D. Cristol et al. One of the sub- species migrates each year, and the other does not. Several characteristics of 14 birds of each subspecies were measured, one of which was wing length. The following data, based on the results of the researchers, provide the wing lengths, in millimeters, for the samples of two subspecies. Assume that wing lengths in populations of subspecies are normally distributed.
Migratory: n = 14, x ̄ = 82.1, s = 1.5 111
Non-migratory: n = 14, x ̄ = 84.92, s = 1.69 222
Conduct a hypothesis test to determine if the average wing lengths in two populations of subspecies are significantly different.
(i.) State the hypotheses.
(ii.) Test for equality of unknown population variances.
(iii.) Calculate test statistic.
(iv.) Calculate degrees of freedom.
(v.) Calculate the p−value of the test.
(vi.) State your decision based on the p−value.
(vii.) Write the interpretation
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