1. Now we want to compare the hours spent in the flowering stage of two groups of flowers, regular tulip and the newly developed tulip. To do that, we randomly choose 45 regular tulips(yet to bloom)and 50 new tulips(yet to bloom), and record hours spent on flowering stage for each flower. The data is in final.test.4.mtw.
2. Choose an appropriate plot/graph to graphically summarize the dataset to compare the hours spent in the flowering stage of two groups of flowers, regular and new. Attach the plot.

1. We wish to construct 95% confidence interval for the difference of the average hours spent in the flowering stage of two groups of flowers.
2. What assumptions are necessary to construct this confidence interval? Are those assumptions reasonable for these data? Briefly explain why or why not.

1. Find a 95% confidence interval for the difference of the average hours spent in the flowering stage of two groups of flowers, and interpret it. (assuming that the necessary conditions are met)

1. With 5% significance level, is there sufficient evidence that a new tulip flower lasts longer than a regular tulip flower on average?(assuming that the necessary conditions are met)
2. State the null and the alternative hypotheses.
3. Report the test statistic.
4. Report the p-value.
5. Draw a conclusion.

Regular

245

267

289

286

269

327

359

378

369

289

389

294

306

385

414

399

397

296

279

327

279

287

268

327

345

375

321

296

357

422

301

297

318

378

348

268

286

259

249

242

357

346

326

367

386

______

new

500

453

421

387

521

457

326

413

467

425

467

357

489

473

426

458

379

386

357

415

435

468

426

475

458

496

467

511

347

368

369

394

396

383

386

375

357

428

438

467

476

461

418

469

497

478

422

389

404

439