Question
In: Math
Paired sample test, (1) construct a 95% confidence interval and (2) conduct a t-test (α =...
Paired sample test, (1) construct a 95% confidence interval and (2) conduct a t-test (α = 5%). This is to report to the NFL commisioner regarding points scored vs points allowed.
Data sets below
| Team | Points Scored | Points Allowed |
| Los Angeles | 463 | 429 |
| Seattle | 452 | 271 |
| Indianapolis | 439 | 247 |
| New Orleans | 435 | 398 |
| NY Gants | 422 | 314 |
| Cincinnati | 421 | 350 |
| San Diego | 418 | 312 |
| Philadelphia | 410 | 388 |
| Kansas City | 403 | 325 |
| Tennessee | 399 | 421 |
| Green Bay | 398 | 344 |
| Denver | 395 | 258 |
| Carolina | 391 | 259 |
| Pittsburg | 389 | 258 |
| New England | 379 | 338 |
| Buffalo | 371 | 367 |
| Minnesota | 366 | 344 |
| Houston | 365 | 431 |
| Jacksonville | 361 | 269 |
| Washington | 359 | 293 |
| Atlanta | 351 | 341 |
| Arizona | 342 | 387 |
| Dallas | 325 | 308 |
| Miami | 318 | 317 |
| Tampa Bay | 300 | 274 |
| Oakland | 290 | 383 |
| Baltimore | 265 | 299 |
| Chicago | 260 | 202 |
| Detroit | 254 | 345 |
| NY Jets | 240 | 355 |
| San Francisco | 239 | 228 |
| Cleveland | 232 | 301 |
Solutions
Expert Solution
| Team | Points Scored | Points Allowed | Difference(d) |
| Los Angeles | 463 | 429 | 34 |
| Seattle | 452 | 271 | 181 |
| Indianapolis | 439 | 247 | 192 |
| New Orleans | 435 | 398 | 37 |
| NY Gants | 422 | 314 | 108 |
| Cincinnati | 421 | 350 | 71 |
| San Diego | 418 | 312 | 106 |
| Philadelphia | 410 | 388 | 22 |
| Kansas City | 403 | 325 | 78 |
| Tennessee | 399 | 421 | -22 |
| Green Bay | 398 | 344 | 54 |
| Denver | 395 | 258 | 137 |
| Carolina | 391 | 259 | 132 |
| Pittsburg | 389 | 258 | 131 |
| New England | 379 | 338 | 41 |
| Buffalo | 371 | 367 | 4 |
| Minnesota | 366 | 344 | 22 |
| Houston | 365 | 431 | -66 |
| Jacksonville | 361 | 269 | 92 |
| Washington | 359 | 293 | 66 |
| Atlanta | 351 | 341 | 10 |
| Arizona | 342 | 387 | -45 |
| Dallas | 325 | 308 | 17 |
| Miami | 318 | 317 | 1 |
| Tampa Bay | 300 | 274 | 26 |
| Oakland | 290 | 383 | -93 |
| Baltimore | 265 | 299 | -34 |
| Chicago | 260 | 202 | 58 |
| Detroit | 254 | 345 | -91 |
| NY Jets | 240 | 355 | -115 |
| San Francisco | 239 | 228 | 11 |
| Cleveland | 232 | 301 | -69 |
| Total | 1096 |
Sample size = n = 32
Sample mean = 
= 34.25
Standard deviation = Sd = 77.850
Level of confidence interval is 0.95
Formula for confidence interval is
Degrees of freedom = n - 1 = 32 - 1 = 31
tc = 2.040 ( Using t table)
milcah answered 8 months agoRelated Solutions
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