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 eight batches of fertilizer from each distributor and measures the amount of nitrogen in each batch. Fertilizer from distributor A contained 20 pounds per batch and fertilizer from distributor B contained 13 pounds per batch. Suppose the population standard deviation for distributor A and distributor B is eight pounds per batch and nine pounds per batch, respectively. Assume the distribution of nitrogen in fertilizer is normally distributed. Let₁and₂represent the average amount of nitrogen per batch for fertilizer's A and B, respectively. Which of the following is an appropriatep-value?

Multiple Choice

• 0.0501
• 0.0756
• 0.0805
• 0.1093