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. 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 $\alpha = 0.05$ 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 number of pounds of harvested fruit was measured From each plot. Following are the results.  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 $\alpha = 0.05$ level of significance.

Quizplus · Accepted Answer

To determine if there is a difference in the mean yields for the two types of fertilizer, we can conduct a two-sample t-test. Using a calculator or statistical software, we can find that the test statistic is -2.71 and the p-value is 0.012. Since the p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is a difference in the mean yields for the two types of fertilizer. Therefore, the answer is A.

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