In an Agricultural Experiment, the Effects of Two Fertilizers on the Production

In an agricultural experiment, the effects of two fertilizers on the production of oranges were measured. Fourteen 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 harvested fruit was measured from each plot. Following are the results
$\begin{array}{lllllll}{\text { Fertilizer A }} \\\hline 465 & 488 & 497 & 486 & 468 & 462 & 457 \\\hline 489 & 449 & 422 & 450 & 469 & 467 & 480 \\\hline\end{array}$


$\begin{array}{ccccc}{\text { Fertilizer B }} \\\hline 420 & 473 & 448 & 407 & 454 \\\hline 490 & 459 & 444 & 416 & 472\end{array}$

Assume that the populations are approximately normal. Construct a $90 \%$ confidence inter for the difference between the mean yields for the two types of fertilizer.

A) $( 4.1,34.8 )$
B) $( 2.3,36.7 )$
C) $( - 0.9,39.8 )$
D) $( 1.0,38.0 )$