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)


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