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 The number of pounds of harvested fruit was measured from each plot. Following are the results.
$\begin{array}{lllllll}
{\text { Fertilizer A }} \
\hline 448 & 478 & 482 & 442 & 455 & 480 & 457 \
\hline 506 & 470 & 444 & 466 & 427 & 461 & 431 \
\hline
\end{array}$

$\begin{array}{ccccc}
{\text { Fertilizer B }} \
\hline 436 & 478 & 453 & 489 & 400 \
\hline 444 & 495 & 438 & 481 & 501
\end{array}$
Assume that the populations are approximately normal. Can you conclude that there is a difference in the mean yields for the two types of fertilizer? Use the $\alpha = 0.01$ level of significance.

Question

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 The number of pounds of harvested fruit was measured from each plot. Following are the results.
 $\begin{array}{lllllll}
{\text { Fertilizer A }} \
\hline 448 & 478 & 482 & 442 & 455 & 480 & 457 \
\hline 506 & 470 & 444 & 466 & 427 & 461 & 431 \
\hline
\end{array}$

$\begin{array}{ccccc}
{\text { Fertilizer B }} \
\hline 436 & 478 & 453 & 489 & 400 \
\hline 444 & 495 & 438 & 481 & 501
\end{array}$
Assume that the populations are approximately normal. Can you conclude that there is a difference in the mean yields for the two types of fertilizer? Use the $\alpha = 0.01$ level of significance.

Quizplus · Accepted Answer

The problem requires a statistical test, such as a t-test, to determine if there is a significant difference in means. Without performing this test, we cannot conclude if there is a difference at the 0.01 significance level.

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