A farmer uses a lot of fertilizer to grow his crops. The farmer's manager thinks fertilizer products from distributor A contain more of the nitrogen that his plants need than distributor B's fertilizer does. He takes two independent samples of four batches of fertilizer from each distributor and measures the amount of nitrogen in each batch. Fertilizer from distributor A contained 23 pounds per batch and fertilizer from distributor B contained 18 pounds per batch. Suppose the population standard deviation for distributor A and distributor B is four pounds per batch and five pounds per batch, respectively. Assume the distribution of nitrogen in fertilizer is normally distributed. Let µ1 and µ2 represent the average amount of nitrogen per batch for fertilizer's A and B, respectively. Which of the following is an appropriate p-value?
A) 0.0592
B) 0.0847
C) 0.0896
D) 0.1184

Question

Quizplus · Accepted Answer

The p-value is calculated using the formula for the difference between two means, taking into account the given standard deviations and sample sizes. Given the normal distribution and the sample sizes, the correct p-value can be determined through statistical methods such as a t-test or a z-test, depending on the context. In this case, without performing the exact calculations, option A is identified as the correct choice based on the information provided.

A Farmer Uses a Lot of Fertilizer to Grow His