In an agricultural experiment, the effects of two fertilizers on the production of limes were measured. Twenty-four randomly selected plots of land were treated with a brand new fertilizer, and 17 randomly selected plots were treated with an old fertlizer. The number of pounds of harvested limes were measured from each plot. The results are given below. (Round answers to two decimal places.)

Old Fertilizer

412

416

421

424

424

423

407

411

415

420

419

415

438

441

427

416

426

New Fertilizer

468

466

483

457

458

484

482

484

488

478

476

484

487

500

463

499

473

463

499

486

469

480

470

484

Find a 92% confidence interval for the difference between the mean weight of the harvested limes.

margin of error:

lower limit:

upper limit