In an agricultural experiment, the effects of two fertilizers on the production of limes were measured. Nineteen randomly selected plots of land were treated with a brand new fertilizer, and 27 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.) New Fertilizer Old Fertilizer 486 435 468 423 491 425 470 440 458 423 476 409 456 425 463 443 493 402 501 437 483 420 475 420 456 416 470 435 463 421 473 445 479 422 460 424 467 412   435   427   413   407   420   430   426   430 Find a 90% confidence interval for the difference between the mean weight of the harvested limes. margin of error: lower limit: upper limit: Based on the results, is the new fertilizer better than the old fertilizer? A) Yes, we are 90% confident that new fertilizer is better than old fertilizer. B) No, we are 90% confident that new fertilizer is not better than old fertilizer. C) It's not clear if the new fertilizer is better than the old fertilizer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.2: Applied Problems
Problem 22E
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In an agricultural experiment, the effects of two fertilizers on the production of limes were measured. Nineteen randomly selected plots of land were treated with a brand new fertilizer, and 27 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.)

New Fertilizer Old Fertilizer
486 435
468 423
491 425
470 440
458 423
476 409
456 425
463 443
493 402
501 437
483 420
475 420
456 416
470 435
463 421
473 445
479 422
460 424
467 412
  435
  427
  413
  407
  420
  430
  426
  430

Find a 90% confidence interval for the difference between the mean weight of the harvested limes.

margin of error:
lower limit:
upper limit:


Based on the results, is the new fertilizer better than the old fertilizer?

  • A) Yes, we are 90% confident that new fertilizer is better than old fertilizer.
  • B) No, we are 90% confident that new fertilizer is not better than old fertilizer.
  • C) It's not clear if the new fertilizer is better than the old fertilizer.
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