A treadmill manufacturer has developed a new machine with softertread and better fans than its current model. The manufacturerbelieves these new features will enable runners to run for longertimes than they can on its current machines. To determine whetherthe desired result is achieved, the manufacturer randomly sampled10 runners. Each runner was measured for one week on the currenttreadmill and for one week on the new treadmill. The weekly totalnumber of minutes for each runner on the two types of treadmillswas collected, and is provided in the table below.
Runner | New treadmill (minutes run) | Current treadmill (minutes run) |
1 | 269 | 270 |
2 | 280 | 268 |
3 | 260 | 254 |
4 | 271 | 256 |
5 | 273 | 258 |
6 | 264 | 264 |
7 | 263 | 262 |
8 | 260 | 251 |
9 | 263 | 264 |
10 | 274 | 258 |
Construct a 98% confidence interval estimate of the meandifference in running time (in minutes) on the new and currenttreadmills.
ANSWER:  (Click to select)-±+  ≤ (Click toselect)(μ1 - μ2)(n1 - n2)(σ1 - σ2)μd(p1 - p2)(s1 - s2)(π1 -π2)(x-bar1 - x-bar2) ≤ (Click toselect)±+-  (report your answers to 2 decimalplaces, using conventional rounding rules.)
