A new type of fertilizer is being tested on a plot of land in an orange grove, to see whether it increases the amount of fruit produced. The mean number of pounds of fruit on this plot of land with the old fertilizer was 400 pounds. Agriculture scientists believe that the new fertilizer may increase the yield. State an appropriate null and alternative hypothesis

Question

Mathematics

Shayla Wu

30 August, 21:02

A new type of fertilizer is being tested on a plot of land in an orange grove, to see whether it increases the amount of fruit produced. The mean number of pounds of fruit on this plot of land with the old fertilizer was 400 pounds. Agriculture scientists believe that the new fertilizer may increase the yield. State an appropriate null and alternative hypothesis

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Answers (1)

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Jack Blair · Answer 1

H₀ : μ = 400

Hₐ : μ > 400

Step-by-step explanation:

The null hypothesis, is the one where things are happenning as expected. There is no difference because of a lack of evidence to proove there will be an improvement. In this case, the implementation of the new fertilizer is expected to increase the mean number of punds of fruit produced, but they don't have any way to proove that this will happen, so it doesn't make any difference.

The alternative hypothesis, is the one where a change is expected to happen. In this case, the new fertilizer is expected to increase the number of punds of fruit on the plot because making changes on the production process, will give new results, that are hoped to be better.

*Notice, that these hypothesis are based on the expectation of improving the fruit production.