A Farmer Uses a Lot of Fertilizer to Grow His

question 13

Multiple Choice

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. Specify the competing hypotheses to determine if fertilizer A contains more nitrogen per batch than fertilizer B.

• A) H₀: µ₁ - µ₂ ≤ 0, H_A: µ₁ - µ₂ > 0
• B) H₀: µ₁ - µ₂ ≥ 0, H_A: µ₁ - µ₂ < 0
• C) H₀: p₁ - p₂ ≤ 0, H_A: p₁ - p₂ > 0
• D) H₀: µ₁ - µ₂ = 0, H_A: µ₁ - µ₂ ≠ 0

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Definitions:

Supply Falls

A condition in which the quantity of a product or service available in the market decreases, potentially leading to higher prices.

Surplus

The condition that occurs when supply exceeds demand, often resulting in a decrease in prices.

Shortage

A situation where the demand for a good or service exceeds its supply in a market.

Quantity Demanded

The amount of a product that consumers are willing to buy at a specific price point, at a given time.