Afarmer wants to know which of two fertilizers will yield the most produce. he sets up twenty random plots of equal
size on one acre. none of the plots are contiguous. he prepares the soil of all 20 plots identically except for the choice
of fertilizer, using fertilizer z on ten of the plots and y on the other ten. he plants the same number of seeds from the
same batch in all 20 plots. throughout the growing season all 20 plots are maintained, watered, weeded, and treated
exactly the same except that the ten plots that got fertilizer z get only that same fertilizer. all the y plots get only that
fertilizer.
when the produce is ready for harvest, he tracks the yield for each plot in weight. the results are shown in the table.
z plots y plots
456 456 395 405
454 445 390 432
449 430 391 438
453 463 402 420
431 438 395 425
a. calculate the mean for sample z and for sample y.
b. which sample will have larger measures of deviation from the mean? in two or more complete sentences, explain
your answer.