Archeologists have discovered a sample of ancient Egyptian skulls from two different time periods, 4000 B.C. and 150 A.D. They believe that the mean maximum skull breadth (the width of the skull at its widest part) has increased from 4000 B.C. to 150 A.D. A sample of 16 Eqyptian skull breadths (in mm) from each time period is show below: 4000 BC 128 131 120 129 124 138 137 135 131 137 119 133 137 137 137 134 150 AD 128 128 137 137 130 136 134 136 128 42 135 130 133 133 139 137 (a) Calculate the mean and standard deviation for each data set. Round each mean to 2 decimal places, and each standard deviation to 4 decimal places. 4000 BC mean: 150 AD mean: 4000 BC standard deviation: 150 AD standard deviation: (b) Using your answers from part (a) and the formula for a 95% confidence interval as presented in lecture, fill in the blanks with the appropriate values for this problem for calculating the confidence interval below. • To enter VI where x is any number, type sqrt(x). For example, V2 should be written as sqrt(2). • Round the t-score to 2 decimal places. 4000 B.C. skull breadths to 150 A.D. skull breadths to P Type here to search 近

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Archeologists have discovered a sample of ancient Egyptian skulls from two different time periods, 4000
B.C. and 150 A.D. They believe that the mean maximum skull breadth (the width of the skull at its widest
part) has increased from 4000 B.C. to 150 A.D. A sample of 16 Egyptian skull breadths (in mm) from each
time period is show below:
4000 BC
128
131
120
129
124
138
137
135
131
137
119
133
137
137
137
134
150 AD
128
128
137
137
130
136
128 42
134
136
135
130
133
133
139
137
(a) Calculate the mean and standard deviation for each data set. Round each mean to 2 decimal places,
and each standard deviation to 4 decimal places.
4000 BC mean:
150 AD mean:
4000 BC standard deviation:
150 AD standard deviation:
(b) Using your answers from part (a) and the formula for a 95% confidence interval as presented in
lecture, fill in the blanks with the appropriate values for this problem for calculating the confidence
interval below.
• To enter V/T where x is any number, type sqrt(x). For example, v2 should be written as sqrt(2).
• Round the t-score to 2 decimal places.
4000 B.C. skull breadths
to
+
150 A.D. skull breadths
to
P Type here to search
Transcribed Image Text:Archeologists have discovered a sample of ancient Egyptian skulls from two different time periods, 4000 B.C. and 150 A.D. They believe that the mean maximum skull breadth (the width of the skull at its widest part) has increased from 4000 B.C. to 150 A.D. A sample of 16 Egyptian skull breadths (in mm) from each time period is show below: 4000 BC 128 131 120 129 124 138 137 135 131 137 119 133 137 137 137 134 150 AD 128 128 137 137 130 136 128 42 134 136 135 130 133 133 139 137 (a) Calculate the mean and standard deviation for each data set. Round each mean to 2 decimal places, and each standard deviation to 4 decimal places. 4000 BC mean: 150 AD mean: 4000 BC standard deviation: 150 AD standard deviation: (b) Using your answers from part (a) and the formula for a 95% confidence interval as presented in lecture, fill in the blanks with the appropriate values for this problem for calculating the confidence interval below. • To enter V/T where x is any number, type sqrt(x). For example, v2 should be written as sqrt(2). • Round the t-score to 2 decimal places. 4000 B.C. skull breadths to + 150 A.D. skull breadths to P Type here to search
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