Question
In: Statistics and Probability
A new fertilizer has been developed to increase the yield on crops, and the makers of...
A new fertilizer has been developed to increase the yield on crops, and the makers of the fertilizer want to better understand which of the two blends of this fertilizer are most effective for wheat, corn, and soy beans crops. They test each of the two blends on one sample of each of the three types of crops.
Inner Totals in ()
Figure 1 – Data for Example 1
|
Type of Crop |
||||
|
Blend |
Wheat |
Corn |
Soy |
Total |
|
Blend X |
33 (85) 52 |
65 (140) 75 |
50 (95) 45 |
320 |
|
Blend Y |
45 (71) 26 |
23 (65) 42 |
38 (64) 26 |
200 |
|
Total |
156 |
205 |
159 |
520 |
|
a. |
At the 5% significance level, can you conclude there is a difference in the crop yields? |
|||||||||
|
b. |
At the 5% significance level, can you conclude there is a difference in the blend yields? |
|||||||||
|
c. |
At the 5% significance level, is there interaction between the blend and the type of crop? |
|||||||||
Solutions
orchestra answered 2 years agoRelated Solutions
A new fertilizer has been developed to increase the yield oncrops, and the makers of...
A new fertilizer has been developed to increase the yield on
crops, and the makers of the fertilizer want to better understand
which of the two blends of this fertilizer are most effective for
wheat, corn, and soy beans crops. They test each of the two blends
on one sample of each of the three types of crops.Inner Totals in ()Figure 1 – Data for Example 1Type of CropBlendWheatCornSoyTotalBlend X23 (79)56 28 (78)5066 (144)78301Blend Y35 (65)3075 (107)3240 (88)48260Total144185232561a.At the 5% significance...
A new fertilizer was developed to increase crop yields by 5 bu.acre-1 over that of an...
A new fertilizer was developed to increase crop yields by 5
bu.acre-1 over that of an old fertilizer. Crops were grown in 9
pairs of test plots with each pair of plots selected for identical
environmental conditions. Analyze and interpret the data (units,
bu.acre-1).
plot
1
2
3
4
5
6
7
8
9
old fertilizer
60.6
66.6
64.9
61.8
61.7
67.2
62.4
61.3
56.7
new fertilizer
67.4
72.8
68.4
66.0
70.8
69.6
67.2
68.9
62.6
1. An investigator has developed a new fertilizer for a certain species of plant. They are...
1. An investigator has developed a new fertilizer for a certain
species of plant. They are interested in determining if the
fertilizer has an effect on the height (inches) of the plants. They
conduct an experiment where a random sample of 15 plants are given
the fertilizer and 15 random plants are given water to serve as a
control.
Fertilizer
Water
60.58
58.16
73.18
57.64
64.32
56.98
57.66
56.14
63.69
54.82
64.75
53.01
53.19
57.39
58.32
55.35
61.14
56.31
61.53...
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in a temperature-controlled greenhouse where they receive adequate
light and equal amounts of water. After two months of growth, the
scientist harvests the carrots and weighs them (in kilograms).
Below is...
A soil scientist has just developed a new type of fertilizer and she wants to determine...
A soil scientist has just developed a new type of fertilizer and
she wants to determine whether it helps carrots grow larger. She
sets up several pots of soil and plants one carrot seed in each
pot. Fertilizer is added to half the pots. All the pots are placed
in a temperature-controlled greenhouse where they receive adequate
light and equal amounts of water. After two months of growth, the
scientist harvests the carrots and weighs them (in kilograms).
Below is...
A new drug has been developed to treat a condition, and it is alleged to be...
A new drug has been developed to treat a condition, and it is
alleged to be more effective than traditional treatment. An
experiment will be conducted to test whether the claim is true. To
perform the hypothesis test, a 99% confidence level is selected for
the hypothesis test. The new drug will be administered to a sample
of 200 individuals with the condition, selected at random. Another
300 individuals are randomly selected to receive the traditional
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Of the 200...
A farmer wishes to test the effects of a new fertilizer on her tomato yield. She...
A farmer wishes to test the effects of a new fertilizer on her
tomato yield. She has four equal-sized plots of land-- one with
sandy soil, one with rocky soil, one with clay-rich soil, and one
with average soil. She divides each of the four plots into three
equal-sized portions and randomly labels them A, B, and C. The four
A portions of land are treated with her old fertilizer. The four B
portions are treated with the new fertilizer,...
A new drug has been developed to treat a particular condition, and it is alleged to...
A new drug has been developed to treat a particular condition,
and it is alleged to be more effective than traditional treatment.
An experiment will be conducted to test whether the claim is true.
To perform the hypothesis test, a 95% confidence level is selected
for the hypothesis test. The new drug will be administered to a
sample of 200 individuals with the condition, selected at random.
Another 300 individuals are randomly selected to receive the
traditional treatment.
Of the...
A new drug has been developed to treat a particular condition, and it is alleged to...
A new drug has been developed to treat a particular condition,
and it is alleged to be more effective than traditional treatment.
An experiment will be conducted to test whether the claim is true.
To perform the hypothesis test, a 99% confidence level is selected
for the hypothesis test. The new drug will be administered to a
sample of 200 individuals with the condition, selected at random.
Another 300 individuals are randomly selected to receive the
traditional treatment.
Of the...
A new drug has been developed to treat a particular condition, and it is alleged to...
A new drug has been developed to treat a particular condition,
and it is alleged to be more effective than traditional treatment.
An experiment will be conducted to test whether the claim is true.
To perform the hypothesis test, a 99% confidence level is selected
for the hypothesis test. The new drug will be administered to a
sample of 200 individuals with the condition, selected at random.
Another 300 individuals are randomly selected to receive the
traditional treatment.
Of the...
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