Using the data (attached to email) on hot and cold rubber bands, test the hypothesis that there is a difference
Using the data (attached to email) on hot and cold rubber bands, test the hypothesis that there is a difference in the average distance that hot and cold rubber bands fly. Formulate null and alternative hypotheses, complete and show all computations, draw a formal conclusion and express conclusion in everyday English.
*Do results seem consistent with the side by side box plots completed in the attached data?
*State whether the conditions of the test actually appear to be met--Write a paragraph.
| Cold | Room Temperature |
| 144 | 217 |
| 164 | 214 |
| 151 | 200 |
| 156 | 193 |
| 157 | 180 |
| 132 | 159 |
| 148 | 202 |
| 149 | 203 |
| 152 | 179 |
| 146 | 180 |
| 148 | 184 |
| 165 | 191 |
| 168 | 220 |
| 154 | 227 |
| 168 | 180 |
| 174 | 199 |
| 175 | 208 |
| 151 | 215 |
| 152 | 219 |
| 153 | 168 |
| 156 | 209 |
| 202 | |
| 208 |
When a certain apparatus, I stretched rubber bands varying amounts, shot them, and recorded the distance they flew. The data is in pairs (stretch, fly) and the units are in inches. Use the following data to construct a scatter plot. Stretch being on the x-axis.
Pull Fly
3.50 49
3.50 54
3.50 56
4.00 70
4.00 84
4.00 72
4.00 88
4.25 91
4.25 105
4.25 105
4.25 125
4.50 143
4.50 156
4.50 162
4.50 166
4.50 167
4.50 174
4.75 153
4.75 165
4.75 167
4.75 175
4.75 193
5.00 160
5.00 174
5.00 191
5.00 193
5.00 197
5.00 203
5.00 204
5.00 210
5.00 221
*Based on scatter plot, estimate what you think a fair value of r might be ( do before calculations).
*Calculate r. What fraction of the distance flown is explained by the amount stretched.
*Find the equation of the regression line. How far does he line predict a band stretched 4 inches will fly?
*Plot the line on the data. Do you see any problems with the fit?
Deliverable: Word Document
