Two fertilizers are applied to randomly selected potato plants. After several weeks, the potatoes are weighed. The weights in kilograms are as follows. Which fertilizer is generally more effective?
Fertilizer A: 27, 20, 16, 18, 22, 19, 23, 21, 17, 19
Fertilizer B: 28, 19, 18, 21, 24, 20, 25, 27, 29, 21
(1 point)
Responses
Fertilizers A and B are equally effective, because the ranges of the weights of the potatoes are the same.
This answer is incorrect. To determine which fertilizer is generally more effective, we should calculate the mean weight for each fertilizer.
For Fertilizer A:
Mean weight = (27 + 20 + 16 + 18 + 22 + 19 + 23 + 21 + 17 + 19) / 10
Mean weight = 202 / 10
Mean weight = 20.2 kg
For Fertilizer B:
Mean weight = (28 + 19 + 18 + 21 + 24 + 20 + 25 + 27 + 29 + 21) / 10
Mean weight = 212 / 10
Mean weight = 21.2 kg
Based on the calculations, Fertilizer B has a higher mean weight compared to Fertilizer A. Therefore, Fertilizer B is generally more effective in this case.