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8 46 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 1 and 42 represent the average amount of nitrogen per batch for fertilizers A and B respectively Which of the following is the appropriate conclusion at the 5 significance level Multiple Choice Reject Ho we can conclude that the mean amount of fertilizer per batch for distributor A is greater than the amount of fertilizer per batch for distributor B Reject Ho we cannot conclude that the mean amount of fertilizer per batch for distributor A is greater than the amount of fertilizer per batch for distributor B Fail to reject Ho we cannot conclude that the mean amount of fertilizer per batch for distributor A is greater than the amount of fertilizer per batch for distributor B Fail to reject Ho we can conclude that the mean amount of fertilizer per batch for distributor A is greater than the amount of fertilizer per batch for distributor B

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