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

ii. 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.

here is the data: 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