1. In many animal species the males and females differ slightly in structure, coloring, and/orsize. The hominid species Australopithecus is thought to have lived about 3.2 million years ago. (“Lucy,” the famous nearcompleteskeleton discovered in 1974, is an Australopithecus .) Forensic anthropologists use partial skeletal remains to estimate the mass of an individual. The data below are estimates of masses from partial skeletal remains of this species found in sub-Saharan Africa. Appropriate graphical displays of the data indicate that it is reasonable to assume that the population distributions of mass are approximately normal for both males and females. You may also assume that these samples are representative of the respective populations. Estimates of mass (kg) Males 51.0, 45.4, 45.6, 50.1, 41.3, 42.6, 40.2, 48.2, 38.4, 45.4, 40.7, 37.9, 41.3, 31.5 Females 27.1, 33.5, 28.0, 30.3, 32.7, 32.5, 34.2, 30.5, 27.5, 23.3,35.7 Do these data provide convincing evidence that the mean estimated masses differ for Australopithecus males and females? Provide appropriate statistical justification for your conclusion. Hypotheses: Method: Q:__________________ S:__________________ T:__________________ N:__________________ Check: Calculate: Communicate Results:
1. In many animal species the males and females differ slightly in structure, coloring, and/orsize. The hominid
species Australopithecus is thought to have lived about 3.2 million years ago. (“Lucy,” the famous nearcompleteskeleton discovered in 1974, is an Australopithecus .) Forensic anthropologists use partial skeletal
remains to estimate the mass of an individual. The data below are estimates of masses from partial skeletal
remains of this species found in sub-Saharan Africa. Appropriate graphical displays of the data indicate that
it is reasonable to assume that the population distributions of mass are approximately normal for both
males and females. You may also assume that these samples are representative of the respective
populations.
Estimates of mass (kg)
Males 51.0, 45.4, 45.6, 50.1, 41.3, 42.6, 40.2, 48.2, 38.4, 45.4, 40.7, 37.9, 41.3, 31.5
Females 27.1, 33.5, 28.0, 30.3, 32.7, 32.5, 34.2, 30.5, 27.5, 23.3,35.7
Do these data provide convincing evidence that the mean estimated masses differ for Australopithecus
males and females? Provide appropriate statistical justification for your conclusion.
Hypotheses:
Method:
Q:__________________
S:__________________
T:__________________
N:__________________
Check:
Calculate:
Communicate Results:
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