A farmer uses a lot of fertilizer to grow his crops. The farmer’s manager thinks fertilizer products from distributor A

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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 14
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 the correct value of the
test statistic?
Multiple Choice
t6 = 2.8111
z = –2.8111
z = 2.8111
t6 = –2.8111