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The table below shows head length and breadth of siblings. The four variables are X₁ = head length of first son, X₂= head breadth of first son, X3 = head length of second son, and X4 head breadth of second son obtained from 25 families. Do first and second sons differ in their average head dimensions? State appropriate null hypothesis for this and test at a=0.05 and interpret results. You may use softwares for computations but make sure to give all necessary details. Hint: Define Y-(X-X) and state Ho in terms of Y. Table 1: Head dimension data from Frets (1921), measured on siblings in 25 families X₁ 191 195 181 183 176 208 189 197 188 X₂ 155 149 148 153 144 157 150 159 152 150 161 147 153 160 192 186 179 195 202 194 163 195 186 181 175 192 174 176 139 197 167 190 153 154 137 155 153 145 140 154 143 Xz 179 201 185 188 171 192 190 189 197 187 179 183 174 190 188 161 183 173 182 165 185 178 176 200 187 X₁ 145 152 149 149 142 152 149 152 159 151 158 147 150 159 151 130 158 148 146 137 152 147 143 158 150

The table below shows head length and breadth of siblings. The four variables are X₁ = head length of first son, X₂= head breadth of first son, X3 = head length of second son, and X4 head breadth of second son obtained from 25 families. Do first and second sons differ in their average head dimensions? State appropriate null hypothesis for this and test at a=0.05 and interpret results. You may use softwares for computations but make sure to give all necessary details. Hint: Define Y-(X-X) and state Ho in terms of Y. Table 1: Head dimension data from Frets (1921), measured on siblings in 25 families X₁ 191 195 181 183 176 208 189 197 188 X₂ 155 149 148 153 144 157 150 159 152 150 161 147 153 160 192 186 179 195 202 194 163 195 186 181 175 192 174 176 139 197 167 190 153 154 137 155 153 145 140 154 143 Xz 179 201 185 188 171 192 190 189 197 187 179 183 174 190 188 161 183 173 182 165 185 178 176 200 187 X₁ 145 152 149 149 142 152 149 152 159 151 158 147 150 159 151 130 158 148 146 137 152 147 143 158 150

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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The table below shows head length and breadth of siblings. The four variables are X₁ = head length of first son, X₂ = head breadth of first son, X3 = head length of second son, and X₁ = head breadth of second son obtained from 25 families. Do first and second sons differ in their average head dimensions? State appropriate null hypothesis for this and test at a=0.05 and interpret results. You may use softwares for computations but make sure to give all necessary details. Hint: Define Y-(X-X) and state Ho in terms of Y. (X₂-X₁) Table 1: Head dimension data from Frets (1921), measured on siblings in 25 families X₁ X₂ X3 191 155 179 195 149 201 185 188 171 192 190 189 197 187 179 181 183 176 208 189 197 188 192 186 179 195 202 194 163 195 186 181 175 192 174 176 197 190 148 153 144 157 150 159 152 150 161 147 153 160 154 137 155 153 145 140 154 143 139 167 153 183 174 190 188 161 183 173 182 165 185 178 176 200 187 X₁ 145 152 149 149 142 152 149 152 159 151 158 147 150 159 151 130 158 148 146 137 152 147 143 158 150
Transcribed Image Text:The table below shows head length and breadth of siblings. The four variables are X₁ = head length of first son, X₂ = head breadth of first son, X3 = head length of second son, and X₁ = head breadth of second son obtained from 25 families. Do first and second sons differ in their average head dimensions? State appropriate null hypothesis for this and test at a=0.05 and interpret results. You may use softwares for computations but make sure to give all necessary details. Hint: Define Y-(X-X) and state Ho in terms of Y. (X₂-X₁) Table 1: Head dimension data from Frets (1921), measured on siblings in 25 families X₁ X₂ X3 191 155 179 195 149 201 185 188 171 192 190 189 197 187 179 181 183 176 208 189 197 188 192 186 179 195 202 194 163 195 186 181 175 192 174 176 197 190 148 153 144 157 150 159 152 150 161 147 153 160 154 137 155 153 145 140 154 143 139 167 153 183 174 190 188 161 183 173 182 165 185 178 176 200 187 X₁ 145 152 149 149 142 152 149 152 159 151 158 147 150 159 151 130 158 148 146 137 152 147 143 158 150
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