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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 (X₁-X3 and state Ho in terms of Y. all necessary details. Hint: Define Y (X₂-X₁) Table 1: Head dimension data from Frets (1921), measured on siblings in 25 families X₁ X3 191 179 195 201 185 188 171 192 190 189 197 187 179 181 183 176 208 189 197 188 192 186 179 195 202 194 163 195 186 181 175 192 174 176 197 190 X₂ 155 149 148 153 144 157 150 159 152 150 161 147 153 160 154 137 155 153 145 140 154 143 139 167 153 183 174 190 188 161 183 173 182 165 185 178 176 200 187 145 152 149 149 142 152 149 152 159 151 158 147 150 159 151 130 158 148 146 137 152 147 143 158 150

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 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 (X₁-X3 and state Ho in terms of Y. all necessary details. Hint: Define Y (X₂-X₁) Table 1: Head dimension data from Frets (1921), measured on siblings in 25 families X₁ X3 191 179 195 201 185 188 171 192 190 189 197 187 179 181 183 176 208 189 197 188 192 186 179 195 202 194 163 195 186 181 175 192 174 176 197 190 X₂ 155 149 148 153 144 157 150 159 152 150 161 147 153 160 154 137 155 153 145 140 154 143 139 167 153 183 174 190 188 161 183 173 182 165 185 178 176 200 187 145 152 149 149 142 152 149 152 159 151 158 147 150 159 151 130 158 148 146 137 152 147 143 158 150

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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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 (X₁-X3) all necessary details. Hint: Define Y = 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 191 155 195 149 181 183 176 208 189 197 188 192 186 179 195 202 194 163 195 186 181 175 192 174 176 197 190 148 153 144 157 150 159 152 150 161 147 153 160 154 137 155 153 145 140 154 143 139 167 153 X3 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 X4 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 (X₁-X3) all necessary details. Hint: Define Y = 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 191 155 195 149 181 183 176 208 189 197 188 192 186 179 195 202 194 163 195 186 181 175 192 174 176 197 190 148 153 144 157 150 159 152 150 161 147 153 160 154 137 155 153 145 140 154 143 139 167 153 X3 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 X4 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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