QNT 351 WEEK 4 Two Population Means
Worksheet
QNT 351 WEEK 4 Two Population Means
Worksheet
A
tomato farmer with a very large farm of approximately 2200 acres had heard
about a new type of rather expensive fertilizer which would supposedly
significantly increase his production. The frugal farmer wanted to test the new
fertilizer before committing the large investment required to fertilize a farm
of his size. He therefore selected 15 parcels of land on
his property and divided them each into two portions. He bought just
enough of the new fertilizer to spread over one half of each parcel and then
spread the old fertilizer over the other half of each parcel. His yields in
pounds per tomato plant were as follows:
Parcel
|
New Fertilizer
|
Old Fertilizer
|
1
|
14.2
|
14.0
|
2
|
14.1
|
13.9
|
3
|
14.5
|
14.4
|
4
|
15.0
|
14.8
|
5
|
13.9
|
13.6
|
6
|
14.5
|
14.1
|
7
|
14.7
|
14.0
|
8
|
13.7
|
13.7
|
9
|
14.0
|
13.3
|
10
|
13.8
|
13.7
|
11
|
14.2
|
14.1
|
12
|
15.4
|
14.9
|
13
|
13.2
|
12.8
|
14
|
13.8
|
13.8
|
15
|
14.3
|
14.0
|
The
farmer had taken statistics many years ago when in college and consequently
made a couple of mistakes when testing to find if the new fertilizer was more
effective: (1) He tested the data as two independent samples, and (2) He
performed a two-tailed test. He decided that he was unable to conclude that
there was a difference between the two fertilizers.
What
if you were the fertilizer sales representative and your job was to prove the
superiority of the new product to the farmer?
- You should start by running the same
test he did in which he came to the decision that he could not conclude a
difference.
- Perform the test as it should have
been done and find if you come to a different conclusion.
- Explain why the results were
different and why your test was a stronger and more reliable test.
QNT 351 WEEK 4 Two Population Means Worksheet
QNT 351 WEEK 4 Two Population Means Worksheet
QNT 351
WEEK 4 Two Population Means Worksheet
QNT
351 WEEK 4 Two Population Means Worksheet
A tomato farmer with a very large farm of
approximately 2200 acres had heard about a new type of rather expensive
fertilizer which would supposedly significantly increase his production. The
frugal farmer wanted to test the new fertilizer before committing the large
investment required to fertilize a farm of his size. He therefore selected 15
parcels of land on his property and divided them each into two portions.
He bought just enough of the new fertilizer to spread over one half of each
parcel and then spread the old fertilizer over the other half of each parcel.
His yields in pounds per tomato plant were as follows:
Parcel
|
New Fertilizer
|
Old Fertilizer
|
1
|
14.2
|
14.0
|
2
|
14.1
|
13.9
|
3
|
14.5
|
14.4
|
4
|
15.0
|
14.8
|
5
|
13.9
|
13.6
|
6
|
14.5
|
14.1
|
7
|
14.7
|
14.0
|
8
|
13.7
|
13.7
|
9
|
14.0
|
13.3
|
10
|
13.8
|
13.7
|
11
|
14.2
|
14.1
|
12
|
15.4
|
14.9
|
13
|
13.2
|
12.8
|
14
|
13.8
|
13.8
|
15
|
14.3
|
14.0
|
The
farmer had taken statistics many years ago when in college and consequently
made a couple of mistakes when testing to find if the new fertilizer was more
effective: (1) He tested the data as two independent samples, and (2) He
performed a two-tailed test. He decided that he was unable to conclude that there
was a difference between the two fertilizers.
What
if you were the fertilizer sales representative and your job was to prove the
superiority of the new product to the farmer?
- You should start by running the same
test he did in which he came to the decision that he could not conclude a
difference.
- Perform the test as it should have
been done and find if you come to a different conclusion.
- Explain why the results were
different and why your test was a stronger and more reliable test.
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