In an agricultural experiment, the effects of two fertilizers on the production of oranges were measured. Ten randomly selected plots of land were treated with fertilizer A, and 10 randomly selected plots were treated with fertilizer B. The number of pounds of orange produced was measured from each plot and means were calculated. The researchers believe the mean orange production from Fertilizer A and B will be the same. The following are the results. Fertilizer A
523 464 483 460 491 403 484
448 457 437 516 417 420

Fertilizer B
362 414 408 398 382
368 393 437 387 373

a. Construct a 95% confidence interval for the difference between the mean yields for the two types of fertilizer. Let μ1, denote the mean yield for fertilizer A. Use the TI-84 Plus calculator.
b. The 95% confidence interval for the difference between the mean yields for the two types of fertilizer is < μ1- μ2 <