ISDS 2000 FINAL EXAM QUESTIONS AND ACCURATE
ANSWERS 2024-2025
Use the following information to answer questions 1 – 6: A farmer uses many tons of
fertilizer. The manager of the farm thinks that fertilizer products from distributor A have
more of the nitrogen that his plants need than fertilizer from distributor B does. He takes
two independent samples of four batches each 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.
Assume the distribution of nitrogen in fertilizer is normally distributed, and the
population standard deviation for distributor A and distributor B is 4 pounds per batch
and 5 pounds per batch, respectively. Let µ1 and µ2 represent the average amount of
nitrogen per batch for fertilizers A and B respectively.
Which of the following is the appropriate set of hypotheses to determine if
fertilizer A contains more nitrogen per batch than fertilizer B.
a. H0: µ1 = µ2, H1: µ1 ≠ µ2
b. H0: µ1 ≥ µ2, H1: µ1 < µ2
c. H0: µ1 ≤ µ2, H1: µ1 > µ2
c. H0: µ1 ≤ µ2, H1: µ1 > µ2
(more)
Use the following information to answer questions 1 – 6: A farmer relies heavily on
,fertilizer to manufacture his crops. His manager believes that distributor A fertilizer
products 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. Fertilizer from distributor A
contained 23 pounds per batch and fertilizer from distributor B contained 18 pounds per
batch. Assume the distribution of nitrogen in fertilizer is normally distributed, and the
population standard deviation for distributor A and distributor B is 4 pounds per batch
and 5 pounds per batch respectively. Let µ1 and µ2 represent the average amount of
nitrogen per batch for fertilizers A and B respectively.
Which of the following is the test statistic?
a. 1.930
b. -1.821
c. 1.56
d. -1.562
e. -1.74
c. 1.56
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Use the following information to answer questions 1 – 6: 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
took two independent samples of four batches of fertilizer from each distributor, each
measured for content amount of nitrogen. The fertilizer from distributor A contained 23
pounds per batch, and fertilizer from distributor B contained 18 pounds per batch.
Suppose that the population distribution of nitrogen in fertilizer is normally distributed,
and the population standard deviation for distributor A and distributor B are 4 pounds
per batch and 5 pounds per batch, respectively. Let µ1 and µ2 be the average amount of
nitrogen per batch for fertilizer's A and B, respectively.
At 0.05 level of significance, what is(are) the critical value(s)?
a. 1.645
b. ± 1.96
c. 1.671
d. ± 2.00
e. ±2.33
a. 1.645
Use the following information to answer questions 1 – 6: A farmer relies heavily on
fertilizer to grow his crops. The farmer's manager believes 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. Assume distribution of nitrogen in the fertilizer is normally
, distributed and population standard deviation for distributor A and distributor B are 4
pounds per batch and 5 pounds per batch respectively. Let µ1 and µ2 represent
average amount of nitrogen per batch for fertilizers A and B respectively.
Which of the following is an appropriate p-value?
a. 0.1188
b. 0.0896
c. 0.0847
d. 0.0725
e. 0.0594
e. 0.0594
Use the following information to answer questions 1 – 6: A farmer relies heavily on a
fertilizer to grow his crops. The farmer's manager believes that 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 number of nitrogen in fertilizer is normally
distributed. Furthermore, let the population standard deviation for distributor A and
distributor B be 4 pound per batch and 5 pounds per batch, respectively. Let µ1 &µ2 be
the average amount of nitrogen per batch for fertilizers A and B, respectively.
Which one of the following is the correct conclusion at 5% level of significance?
a. Reject H0; there is sufficient evidence to conclude that the mean amount of fertilizer
per batch
for distributor A is larger than the amount of fertilizer per batch for
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