An experiment is designed to test the effects of two different fertilizers on the production of pecans. Eighteen randomly selected rows of pecan trees were treated with fertilizer A and 16 randomly selected rows of pecan trees were treated with fertilizer B. The number of pounds of pecans was measured at the end of the growing season for each row. Sample statistics are listed in the table. Assume that the population number of pounds of pecans per row is approximately normal for each group. Fertilizer A Fertilizer B Sample Size 18 16 Mean (lbs/row) 457.31 398.17 Stdv (lbs/row) 38.48 23.95 Do the data provide evidence that there would be a difference in the mean pounds of pecans per row for these two treatments?
An experiment is designed to test the effects of two different fertilizers on the production of pecans. Eighteen randomly selected rows of pecan trees were treated with fertilizer A and 16 randomly selected rows of pecan trees were treated with fertilizer B. The number of pounds of pecans was measured at the end of the growing season for each row. Sample statistics are listed in the table. Assume that the population number of pounds of pecans per row is approximately normal for each group. Fertilizer A Fertilizer B Sample Size 18 16 Mean (lbs/row) 457.31 398.17 Stdv (lbs/row) 38.48 23.95 Do the data provide evidence that there would be a difference in the mean pounds of pecans per row for these two treatments?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Q1.1 Pecans--Hypotheses
An experiment is designed to test the effects of two different fertilizers on the production of
pecans. Eighteen randomly selected rows of pecan trees were treated with fertilizer A and 16
randomly selected rows of pecan trees were treated with fertilizer B. The number of pounds of
pecans was measured at the end of the growing season for each row. Sample statistics are listed in
the table. Assume that the population number of pounds of pecans per row is approximately
normal for each group.
Fertilizer A
Fertilizer B
Save Answer
Do the data provide evidence that there would be a difference in the mean pounds of pecans per
row for these two treatments?
Sample
Size
18
16
Hypotheses:
Write the appropriate hypotheses, including defining the parameters and identifying the subscripts
appropriately. (Note: you are not required to use Greek letters. For example, writing sigma is
sufficient for σ. In addition, you don't need to make an effort to produce subscripts. Ho will
suffice.)
Q1.2 Why is appeal to CLT unnecessary?
Fertilizer A
Fertilizer B
Mean
(lbs/row)
457.31
398.17
An experiment is designed to test the effects of two different fertilizers on the production of
pecans. Eighteen randomly selected rows of pecan trees were treated with fertilizer A and 16
randomly selected rows of pecan trees were treated with fertilizer B. The number of pounds of
pecans was measured at the end of the growing season for each row. Sample statistics are listed in
the table. Assume that the population number of pounds of pecans per row is approximately
normal for each group.
Save Answer
Stdy
(lbs/row)
38.48
23.95
Sample
Size
18
16
Q1.3 Mechanics
Mean
(lbs/row)
457.31
398.17
Do the data provide evidence that there would be a difference in the mean pounds of pecans per
row for these two treatments?
Stdy
(lbs/row)
38.48
23.95
Conditions:
The sample sizes for each of the treatments are relatively small. Briefly explain why it it not
necessary to appeal to the Central Limit Theorem in order to meet the Normal condition for this
test.
Mechanics:
Perform the mechanics using your calculator and in the space provided report all relevant results.
Transcribed Image Text:01.4 Decision Linked in Context
Write your decision linked in context (use alpha = 5%):
Save Answer
Q1.5 Confidence interval for difference in means
Use your calculator to find 95% confidence interval for the difference in the population mean
pounds of pecans per row.
Save Answer
Q1.6 How does interval support decision?
Briefly explain how the interval in part (1.5) supports the decision you made in part (1.4).
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