8.45 Bone fossil study. Archeologists have found that humerus D bones from the same species of animal tend to have ap- BONES proximately the same length-to-width ratios. It is known NW that species A exhibits a mean ratio of 8.5. Suppose 41 fos- sils of humerus bones were unearthed at an archeological site in East Africa, where species A is believed to have lived. (Assume that the unearthed bones were all from the same unknown species.) The length-to-width ratios of the bones are listed in the following table. 10.73 8.89 9.07 9.20 10.33 9.98 9.84 9.59 8.48 8.71 9.57 8.52 8.87 8.91 11.77 10.48 9.29 9.94 8.07 8.37 6.85 6.23 9.41 6.66 9.35 8.86 9.93 10.39 9.39 9.17 9.89 8.17 8.93 8.80 10.02 9.38 8.38 11.67 8.30 9.17 12.00 a. Test whether the population mean ratio of all bones of this particular species differs from 8.5. Use a = .01. b. What are the practical implications of the test you con- ducted in part a?

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Chapter4: Equations Of Linear Functions
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8.45 Bone fossil study. Archeologists have found that humerus
D bones from the same species of animal tend to have ap-
BONES proximately the same length-to-width ratios. It is known
NW that species A exhibits a mean ratio of 8.5. Suppose 41 fos-
sils of humerus bones were unearthed at an archeological
site in East Africa, where species A is believed to have
lived. (Assume that the unearthed bones were all from the
same unknown species.) The length-to-width ratios of the
bones are listed in the following table.
10.73 8.89 9.07
9.20 10.33 9.98
9.84 9.59
8.48 8.71 9.57
8.52
8.87
8.91 11.77 10.48
9.29
9.94
8.07
8.37
6.85
6.23
9.41
6.66
9.35
8.86 9.93
10.39
9.39
9.17
9.89 8.17
8.93 8.80 10.02
9.38
8.38
11.67
8.30 9.17
12.00
a. Test whether the population mean ratio of all bones of
this particular species differs from 8.5. Use a = .01.
b. What are the practical implications of the test you con-
ducted in part a?
Transcribed Image Text:8.45 Bone fossil study. Archeologists have found that humerus D bones from the same species of animal tend to have ap- BONES proximately the same length-to-width ratios. It is known NW that species A exhibits a mean ratio of 8.5. Suppose 41 fos- sils of humerus bones were unearthed at an archeological site in East Africa, where species A is believed to have lived. (Assume that the unearthed bones were all from the same unknown species.) The length-to-width ratios of the bones are listed in the following table. 10.73 8.89 9.07 9.20 10.33 9.98 9.84 9.59 8.48 8.71 9.57 8.52 8.87 8.91 11.77 10.48 9.29 9.94 8.07 8.37 6.85 6.23 9.41 6.66 9.35 8.86 9.93 10.39 9.39 9.17 9.89 8.17 8.93 8.80 10.02 9.38 8.38 11.67 8.30 9.17 12.00 a. Test whether the population mean ratio of all bones of this particular species differs from 8.5. Use a = .01. b. What are the practical implications of the test you con- ducted in part a?
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