The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?
Nation's Report Card
MATH SCORES, 8TH GRADE
Year 2019
Year 2009
D
Alabama
269
269
Alaska
274
283
Arizona
280
277
Arkansas
274
276
California
276
270
Colorado
285
287
Connecticut
286
289
Delaware
277
284
District of Columbia
269
254
DODEA
292
287
Florida
279
279
Georgia
279
278
Hawaii
275
274
Idaho
286
287
Illinois
283
282
Indiana
286
287
Iowa
282
284
Kansas
282
289
Kentucky
278
279
Louisiana
272
272
Maine
282
286
Maryland
280
288
Massachusetts
294
299
Michigan
280
278
Minnesota
291
294
Mississippi
274
265
Missouri
281
286
Montana
284
292
Nebraska
285
284
Nevada
New Hampshire
New Jersey
274
274
287
292
292
293
New Mexico
269
270
New York
280
283
North Carolina
284
284
North Dakota
286
293
Ohio
286
286
Oklahoma
276
276
Oregon
Pennsylvania
280
285
285
288
Puerto Rico
222
221
Rhode Island
276
278
South Carolina
276
280
South Dakota
287
291
Tennessee
280
275
Texas
280
287
Utah
285
284
Vermont
287
293
Virginia
Washington
West Virginia
287
286
286
289
272
270
Wisconsin
289
288
Wyoming
286
286
Transcribed Image Text:Nation's Report Card MATH SCORES, 8TH GRADE Year 2019 Year 2009 D Alabama 269 269 Alaska 274 283 Arizona 280 277 Arkansas 274 276 California 276 270 Colorado 285 287 Connecticut 286 289 Delaware 277 284 District of Columbia 269 254 DODEA 292 287 Florida 279 279 Georgia 279 278 Hawaii 275 274 Idaho 286 287 Illinois 283 282 Indiana 286 287 Iowa 282 284 Kansas 282 289 Kentucky 278 279 Louisiana 272 272 Maine 282 286 Maryland 280 288 Massachusetts 294 299 Michigan 280 278 Minnesota 291 294 Mississippi 274 265 Missouri 281 286 Montana 284 292 Nebraska 285 284 Nevada New Hampshire New Jersey 274 274 287 292 292 293 New Mexico 269 270 New York 280 283 North Carolina 284 284 North Dakota 286 293 Ohio 286 286 Oklahoma 276 276 Oregon Pennsylvania 280 285 285 288 Puerto Rico 222 221 Rhode Island 276 278 South Carolina 276 280 South Dakota 287 291 Tennessee 280 275 Texas 280 287 Utah 285 284 Vermont 287 293 Virginia Washington West Virginia 287 286 286 289 272 270 Wisconsin 289 288 Wyoming 286 286
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