a) Based on the samples, do we have some evidence to suggest that on average, the body structure of Egyptians have changed over the years and due to interbred with several different immigrant populations? Explain your answer. b) If you're going to perform a t-test for the difference between the means, then would it be two-tailed or one-tailed. If it is one tailed, then which tail? Explain your choice. c) Assuming all conditions are met, perform a test at the significant alpha level: 0.01. Translate Ho and Ha into English as well. Use www.stapplet.com to do the calculations. Be sure to include the df, t-score, p-value.

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Problem 1: Some archaeologists theorize that ancient Egyptians interbred with several different
immigrant populations over thousands of years. To see if there is any indication of changes in
body structure that might have resulted, they measured 30 skulls of male Egyptians dated from
4000 B.C. and 30 others dated from 200 B.C.. Below is a table summarizing the findings. All
measurements are in millimeters.
Group Name n
SD min Q1 med Q3 max
mean
1: 4000 BC 30 131.367 5.129 119 128 131 135 141
2: 200 BC
30 135.633 4.038 129 132 135 139 144
a) Based on the samples, do we have some evidence to suggest that on average, the body
structure of Egyptians have changed over the years and due to interbred with several different
immigrant populations? Explain your answer.
b) If you're going to perform a t-test for the difference between the means, then would it be
two-tailed or one-tailed. If it is one tailed, then which tail? Explain your choice.
c) Assuming all conditions are met, perform a test at the significant alpha level: 0.01. Translate
Ho and Ha into English as well. Use www.stapplet.com to do the calculations. Be sure to
include the df, t-score, p-value.
Transcribed Image Text:Problem 1: Some archaeologists theorize that ancient Egyptians interbred with several different immigrant populations over thousands of years. To see if there is any indication of changes in body structure that might have resulted, they measured 30 skulls of male Egyptians dated from 4000 B.C. and 30 others dated from 200 B.C.. Below is a table summarizing the findings. All measurements are in millimeters. Group Name n SD min Q1 med Q3 max mean 1: 4000 BC 30 131.367 5.129 119 128 131 135 141 2: 200 BC 30 135.633 4.038 129 132 135 139 144 a) Based on the samples, do we have some evidence to suggest that on average, the body structure of Egyptians have changed over the years and due to interbred with several different immigrant populations? Explain your answer. b) If you're going to perform a t-test for the difference between the means, then would it be two-tailed or one-tailed. If it is one tailed, then which tail? Explain your choice. c) Assuming all conditions are met, perform a test at the significant alpha level: 0.01. Translate Ho and Ha into English as well. Use www.stapplet.com to do the calculations. Be sure to include the df, t-score, p-value.
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